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1 0 -10.569 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -32.706 -246.074 cm BT /F22 8.2889 Tf 32.706 246.074 Td [(&)]TJ ET 1 0 0 1 38.467 246.074 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -40.539 -246.074 cm BT /F22 8.2889 Tf 40.539 246.074 Td [(Lam,)]TJ ET 1 0 0 1 58.592 246.074 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -60.664 -246.074 cm BT /F22 8.2889 Tf 60.664 246.074 Td [(2005)]TJ ET 1 0 0 1 79.861 246.074 cm 0 g 0 G 1 0 0 1 -79.861 -246.074 cm BT /F22 8.2889 Tf 79.861 246.074 Td [(;)]TJ ET 1 0 0 1 84.851 246.074 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -84.851 -246.074 cm BT /F22 8.2889 Tf 84.851 246.074 Td [(Yue,)]TJ ET 1 0 0 1 101.255 246.074 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -103.327 -246.074 cm BT /F22 8.2889 Tf 103.327 246.074 Td [(Han,)]TJ ET 1 0 0 1 120.767 246.074 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -122.839 -246.074 cm BT /F22 8.2889 Tf 122.839 246.074 Td [(&)]TJ ET 1 0 0 1 128.6 246.074 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -130.672 -246.074 cm BT /F22 8.2889 Tf 130.672 246.074 Td [(Lam,)]TJ ET 1 0 0 1 148.725 246.074 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -150.797 -246.074 cm BT /F22 8.2889 Tf 150.797 246.074 Td [(2005)]TJ ET 1 0 0 1 169.994 246.074 cm 0 g 0 G 1 0 0 1 -169.994 -246.074 cm BT /F22 8.2889 Tf 169.994 246.074 Td [(;)]TJ ET 1 0 0 1 174.984 246.074 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -174.984 -246.074 cm BT /F22 8.2889 Tf 174.984 246.074 Td [(Zhang,)]TJ ET 1 0 0 1 200.439 246.074 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -202.511 -246.074 cm BT /F22 8.2889 Tf 202.511 246.074 Td [(Wu,)]TJ ET 1 0 0 1 218.069 246.074 cm 0 g 0 G 1 0 0 1 2.073 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -220.142 -246.074 cm BT /F22 8.2889 Tf 220.142 246.074 Td [(&)]TJ ET 1 0 0 1 225.902 246.074 cm 0 g 0 G 1 0 0 1 2.073 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -227.975 -246.074 cm BT /F22 8.2889 Tf 227.975 246.074 Td [(Duan,)]TJ ET 1 0 0 1 250.156 246.074 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -252.228 -246.074 cm BT /F22 8.2889 Tf 252.228 246.074 Td [(2009)]TJ ET 1 0 0 1 271.425 246.074 cm 0 g 0 G 1 0 0 1 -271.425 -246.074 cm BT /F22 8.2889 Tf 271.425 246.074 Td [(\051.)]TJ ET 1 0 0 1 32.706 246.074 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -246.074 cm BT /F22 8.2889 Tf 44.661 235.287 Td [(Existing)-324(stability)-324(criteria)-324(can)-324(be)-324(classified)-324(into)-324(two)-324(categories,)]TJ ET 1 0 0 1 32.706 235.287 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -235.287 cm BT /F22 8.2889 Tf 32.706 224.717 Td [(that)-395(is,)-396(delay-independent)-395(ones)-395(and)-396(delay-dependent)-395(ones.)-396(It)-396(is)]TJ ET 1 0 0 1 32.706 224.717 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -224.717 cm BT /F22 8.2889 Tf 32.706 214.148 Td [(well)-385(known)-386(that)-385(delay-independent)-386(ones)-385(are)-386(usually)-385(more)-386(con-)]TJ ET 1 0 0 1 32.706 214.148 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -214.148 cm BT /F22 8.2889 Tf 32.706 203.579 Td [(servative)-354(than)-354(the)-354(delay-dependent)-354(ones,)-354(so)-354(much)-355(attention)-354(has)]TJ ET 1 0 0 1 32.706 203.579 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -203.579 cm BT /F22 8.2889 Tf 32.706 193.009 Td [(been)-227(paid)-228(in)-227(recent)-228(years)-227(to)-228(the)-227(study)-228(of)-227(delay-dependent)-228(stability)]TJ ET 1 0 0 1 32.706 193.009 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -193.009 cm BT /F22 8.2889 Tf 32.706 182.44 Td [(conditions)-317(\050)]TJ ET 1 0 0 1 78.507 182.44 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -78.507 -182.44 cm BT /F22 8.2889 Tf 78.507 182.44 Td [(Gao)]TJ ET 1 0 0 1 93.335 182.44 cm 0 g 0 G 1 0 0 1 2.624 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -95.959 -182.44 cm BT /F22 8.2889 Tf 95.959 182.44 Td [(&)]TJ ET 1 0 0 1 101.72 182.44 cm 0 g 0 G 1 0 0 1 2.624 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -104.344 -182.44 cm BT /F22 8.2889 Tf 104.344 182.44 Td [(Wang,)]TJ ET 1 0 0 1 128.73 182.44 cm 0 g 0 G 1 0 0 1 2.624 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -131.354 -182.44 cm BT /F22 8.2889 Tf 131.354 182.44 Td [(2003)]TJ ET 1 0 0 1 150.551 182.44 cm 0 g 0 G 1 0 0 1 -150.551 -182.44 cm BT /F22 8.2889 Tf 150.551 182.44 Td [(;)]TJ ET 1 0 0 1 156.093 182.44 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -156.093 -182.44 cm BT /F22 8.2889 Tf 156.093 182.44 Td [(Han)]TJ ET 1 0 0 1 171.594 182.44 cm 0 g 0 G 1 0 0 1 -171.594 -182.44 cm BT /F22 8.2889 Tf 171.594 182.44 Td [(,)]TJ ET 1 0 0 1 173.533 182.44 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -173.533 -182.44 cm BT /F22 8.2889 Tf 173.533 182.44 Td [(2004a)]TJ ET 1 0 0 1 197.024 182.44 cm 0 g 0 G 1 0 0 1 -197.024 -182.44 cm BT /F22 8.2889 Tf 197.024 182.44 Td [(,)]TJ ET 1 0 0 1 198.963 182.44 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -198.963 -182.44 cm BT /F22 8.2889 Tf 198.963 182.44 Td [(2004b)]TJ ET 1 0 0 1 222.959 182.44 cm 0 g 0 G 1 0 0 1 -222.959 -182.44 cm BT /F22 8.2889 Tf 222.959 182.44 Td [(;)]TJ ET 1 0 0 1 228.502 182.44 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -228.502 -182.44 cm BT /F22 8.2889 Tf 228.502 182.44 Td [(Haoussi)]TJ ET 1 0 0 1 258.541 182.44 cm 0 g 0 G 1 0 0 1 2.624 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -261.165 -182.44 cm BT /F22 8.2889 Tf 261.165 182.44 Td [(&)]TJ ET 1 0 0 1 266.925 182.44 cm 0 g 0 G 1 0 0 1 2.624 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -269.549 -182.44 cm BT /F22 8.2889 Tf 269.549 182.44 Td [(Tis-)]TJ ET 1 0 0 1 32.706 152.361 cm 0 g 0 G q 1 0 0 1 0 2.74 cm []0 d 0 J 0.498 w 0 0 m 35.866 0 l S Q 1 0 0 1 -32.706 -152.361 cm BT /F134 5.9776 Tf 36.255 146.67 Td [(I)]TJ/F22 6.6311 Tf 8.515 -2.777 Td [(This)-567(work)-568(is)-567(supported)-567(by)-567(the)-568(Beijing)-567(Education)-567(Committee)-568(Cooperation)]TJ -12.064 -8.568 Td [(Building)-781(Foundation)-782(Project)-781(XK100070532)-781(and)-781(China)-782(Postdoctoral)-781(Science)]TJ 0 -8.568 Td [(Foundation)-421(20080440308.)-423(The)-421(material)-421(in)-421(this)-422(paper)-421(was)-421(not)-421(presented)-422(at)-421(any)]TJ 0 -8.568 Td [(conference.)-537(This)-536(paper)-535(was)-535(recommended)-536(for)-535(publication)-536(in)-535(revised)-535(form)-536(by)]TJ 0 -8.567 Td [(Associate)-250(Editor)-250(Keqin)-250(Gu)-250(under)-250(the)-250(direction)-250(of)-250(Editor)-250(Andr\351)-250(L.)-250(Tits.)]TJ/F179 8.3686 Tf 4.108 -6.479 Td [(\003)]TJ/F22 6.6311 Tf 7.956 -2.777 Td [(Corresponding)-273(address:)-273(School)-273(of)-273(Automation,)-273(Beijing)-273(Institute)-274(of)-273(Technology,)]TJ -12.064 -8.568 Td [(5)-315(Zhongguancun)-315(South)-315(Street,)-315(Beijing)-315(100081,)-315(China.)-316(Tel.:)-315(+86)-315(10)-315(68912464;)-315(fax:)]TJ 0 -8.568 Td [(+86)-250(10)-250(68918232.)]TJ/F40 6.6311 Tf 12.064 -9.196 Td [(E-mail)-250(addresses:)]TJ ET 1 0 0 1 97.461 74.034 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -97.461 -74.034 cm BT /F22 6.6311 Tf 97.461 74.034 Td [(helios1225@yahoo.com.cn)]TJ ET 1 0 0 1 178.214 74.034 cm 0 g 0 G 1 0 0 1 -178.214 -74.034 cm BT /F22 6.6311 Tf 179.871 74.034 Td [(\050J.)-250(Sun\051,)]TJ ET 1 0 0 1 204.758 74.034 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -204.758 -74.034 cm BT /F22 6.6311 Tf 204.758 74.034 Td [(gpliu@glam.ac.uk)]TJ ET 1 0 0 1 258.032 74.034 cm 0 g 0 G 1 0 0 1 -258.032 -74.034 cm BT /F22 6.6311 Tf 32.706 65.466 Td [(\050G.P.)-250(Liu\051,)]TJ ET 1 0 0 1 63.282 65.466 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -63.282 -65.466 cm BT /F22 6.6311 Tf 63.282 65.466 Td [(chenjie@bit.edu.cn)]TJ ET 1 0 0 1 120.72 65.466 cm 0 g 0 G 1 0 0 1 -120.72 -65.466 cm BT /F22 6.6311 Tf 122.378 65.466 Td [(\050J.)-250(Chen\051,)]TJ ET 1 0 0 1 151.289 65.466 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -151.289 -65.466 cm BT /F22 6.6311 Tf 151.289 65.466 Td [(drees@glam.ac.uk)]TJ ET 1 0 0 1 205.644 65.466 cm 0 g 0 G 1 0 0 1 -205.644 -65.466 cm BT /F22 6.6311 Tf 207.302 65.466 Td [(\050D.)-250(Rees\051.)]TJ ET 1 0 0 1 32.706 62.896 cm 0 g 0 G 1 0 0 1 260.025 -22.535 cm 0 g 0 G 0 g 0 G 1 0 0 1 -292.731 -40.361 cm BT /F22 8.2889 Tf 301.697 341.96 Td [(sir,)]TJ ET 1 0 0 1 313.219 341.96 cm 0 g 0 G 1 0 0 1 2.488 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -315.707 -341.96 cm BT /F22 8.2889 Tf 315.707 341.96 Td [(2009)]TJ ET 1 0 0 1 334.904 341.96 cm 0 g 0 G 1 0 0 1 -334.904 -341.96 cm BT /F22 8.2889 Tf 334.904 341.96 Td [(;)]TJ ET 1 0 0 1 340.31 341.96 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -340.31 -341.96 cm BT /F22 8.2889 Tf 340.31 341.96 Td [(Jiang)]TJ ET 1 0 0 1 359.192 341.96 cm 0 g 0 G 1 0 0 1 2.488 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -361.68 -341.96 cm BT /F22 8.2889 Tf 361.68 341.96 Td [(&)]TJ ET 1 0 0 1 367.44 341.96 cm 0 g 0 G 1 0 0 1 2.488 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -369.928 -341.96 cm BT /F22 8.2889 Tf 369.928 341.96 Td [(Han,)]TJ ET 1 0 0 1 387.368 341.96 cm 0 g 0 G 1 0 0 1 2.488 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -389.856 -341.96 cm BT /F22 8.2889 Tf 389.856 341.96 Td [(2005)]TJ ET 1 0 0 1 409.053 341.96 cm 0 g 0 G 1 0 0 1 -409.053 -341.96 cm BT /F22 8.2889 Tf 409.053 341.96 Td [(;)]TJ ET 1 0 0 1 414.459 341.96 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -414.459 -341.96 cm BT /F22 8.2889 Tf 414.459 341.96 Td [(Niculescu)]TJ ET 1 0 0 1 451.493 341.96 cm 0 g 0 G 1 0 0 1 -451.493 -341.96 cm BT /F22 8.2889 Tf 451.493 341.96 Td [(,)]TJ ET 1 0 0 1 453.433 341.96 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 2.488 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -455.921 -341.96 cm BT /F22 8.2889 Tf 455.921 341.96 Td [(2001)]TJ ET 1 0 0 1 475.118 341.96 cm 0 g 0 G 1 0 0 1 -475.118 -341.96 cm BT /F22 8.2889 Tf 475.118 341.96 Td [(;)]TJ ET 1 0 0 1 480.524 341.96 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -480.524 -341.96 cm BT /F22 8.2889 Tf 480.524 341.96 Td [(Park)]TJ ET 1 0 0 1 497.499 341.96 cm 0 g 0 G 1 0 0 1 -497.499 -341.96 cm BT /F22 8.2889 Tf 497.499 341.96 Td [(,)]TJ ET 1 0 0 1 499.439 341.96 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 2.488 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -501.927 -341.96 cm BT /F22 8.2889 Tf 501.927 341.96 Td [(1999)]TJ ET 1 0 0 1 521.124 341.96 cm 0 g 0 G 1 0 0 1 -521.124 -341.96 cm BT /F22 8.2889 Tf 521.124 341.96 Td [(;)]TJ ET 1 0 0 1 526.53 341.96 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -526.53 -341.96 cm BT /F22 8.2889 Tf 526.53 341.96 Td [(Suplin,)]TJ ET 1 0 0 1 552.756 341.96 cm 0 g 0 G 1 0 0 1 -251.059 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.367 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -301.697 -331.593 cm BT /F22 8.2889 Tf 301.697 331.593 Td [(Fridman,)]TJ ET 1 0 0 1 335.673 331.593 cm 0 g 0 G 1 0 0 1 2.894 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -338.567 -331.593 cm BT /F22 8.2889 Tf 338.567 331.593 Td [(&)]TJ ET 1 0 0 1 344.328 331.593 cm 0 g 0 G 1 0 0 1 2.892 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -347.22 -331.593 cm BT /F22 8.2889 Tf 347.22 331.593 Td [(Shaked,)]TJ ET 1 0 0 1 376.737 331.593 cm 0 g 0 G 1 0 0 1 2.894 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -379.631 -331.593 cm BT /F22 8.2889 Tf 379.631 331.593 Td [(2006)]TJ ET 1 0 0 1 398.828 331.593 cm 0 g 0 G 1 0 0 1 -398.828 -331.593 cm BT /F22 8.2889 Tf 398.828 331.593 Td [(\051.)-350(Most)-349(of)-348(the)-349(existing)-349(delay-dependent)]TJ ET 1 0 0 1 301.697 331.593 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -331.593 cm BT /F22 8.2889 Tf 301.697 321.227 Td [(stability)-190(criteria)-190(are)-189(obtained)-190(using)-190(Lyapunov\025Krasovskii)-190(approach)]TJ ET 1 0 0 1 301.697 321.227 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -321.227 cm BT /F22 8.2889 Tf 301.697 310.861 Td [(or)-401(Ly)1(apunov\025Razumikhin)-401(approach.)-401(To)-401(address)-400(this)-401(issue,)-400(a)-401(de-)]TJ ET 1 0 0 1 301.697 310.861 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -310.861 cm BT /F22 8.2889 Tf 301.697 300.495 Td [(scriptor)-382(model)-382(transformation)-382(method)-382(is)-382(introduced)-383(in)]TJ ET 1 0 0 1 520.72 300.495 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -520.72 -300.495 cm BT /F22 8.2889 Tf 520.72 300.495 Td [(Fridman)]TJ ET 1 0 0 1 552.756 300.495 cm 0 g 0 G 1 0 0 1 -251.059 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.366 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -301.697 -290.129 cm BT /F22 8.2889 Tf 301.697 290.129 Td [(and)]TJ ET 1 0 0 1 315.946 290.129 cm 0 g 0 G 1 0 0 1 2.347 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -318.293 -290.129 cm BT /F22 8.2889 Tf 318.293 290.129 Td [(Shaked)]TJ ET 1 0 0 1 345.87 290.129 cm 0 g 0 G 1 0 0 1 2.348 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -348.218 -290.129 cm BT /F22 8.2889 Tf 348.218 290.129 Td [(\050)]TJ ET 1 0 0 1 351.284 290.129 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -351.284 -290.129 cm BT /F22 8.2889 Tf 351.284 290.129 Td [(2003)]TJ ET 1 0 0 1 370.481 290.129 cm 0 g 0 G 1 0 0 1 -370.481 -290.129 cm BT /F22 8.2889 Tf 370.481 290.129 Td [(\051.)-283(This)-284(method)-283(significantly)-283(reduces)-283(the)-283(conser-)]TJ ET 1 0 0 1 301.697 290.129 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -290.129 cm BT /F22 8.2889 Tf 301.697 279.763 Td [(vatism)-211(of)-211(the)-211(results)-211(since)-211(it)-211(is)-211(based)-211(on)-211(an)-212(equ)1(ivalent)-212(model)-211(of)-211(the)]TJ ET 1 0 0 1 301.697 279.763 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -279.763 cm BT /F22 8.2889 Tf 301.697 269.397 Td [(original)-242(system.)-241(In)-242(order)-241(to)-242(reduce)-241(further)-242(the)-241(conservatism)-242(intro-)]TJ ET 1 0 0 1 301.697 269.397 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -269.397 cm BT /F22 8.2889 Tf 301.697 259.031 Td [(duced)-297(by)-297(model)-297(transformation)-297(and)-297(bounding)-297(techniques,)-297(a)-297(free-)]TJ ET 1 0 0 1 301.697 259.031 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -259.031 cm BT /F22 8.2889 Tf 301.697 248.665 Td [(weighting)-371(matrices)-371(method)-370(is)-371(proposed)-371(in)]TJ ET 1 0 0 1 470.881 248.665 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -470.881 -248.665 cm BT /F22 8.2889 Tf 470.881 248.665 Td [(He,)]TJ ET 1 0 0 1 483.364 248.665 cm 0 g 0 G 1 0 0 1 3.075 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -486.439 -248.665 cm BT /F22 8.2889 Tf 486.439 248.665 Td [(Wu,)]TJ ET 1 0 0 1 501.997 248.665 cm 0 g 0 G 1 0 0 1 3.075 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -505.072 -248.665 cm BT /F22 8.2889 Tf 505.072 248.665 Td [(She,)]TJ ET 1 0 0 1 520.754 248.665 cm 0 g 0 G 1 0 0 1 3.075 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -523.829 -248.665 cm BT /F22 8.2889 Tf 523.829 248.665 Td [(and)]TJ ET 1 0 0 1 538.078 248.665 cm 0 g 0 G 1 0 0 1 3.074 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -541.152 -248.665 cm BT /F22 8.2889 Tf 541.152 248.665 Td [(Liu)]TJ ET 1 0 0 1 552.756 248.665 cm 0 g 0 G 1 0 0 1 -251.059 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.366 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -301.697 -238.299 cm BT /F22 8.2889 Tf 301.697 238.299 Td [(\050)]TJ ET 1 0 0 1 304.764 238.299 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -304.764 -238.299 cm BT /F22 8.2889 Tf 304.764 238.299 Td [(2004)]TJ ET 1 0 0 1 323.961 238.299 cm 0 g 0 G 1 0 0 1 -323.961 -238.299 cm BT /F22 8.2889 Tf 323.961 238.299 Td [(\051.)-353(Using)-352(the)-352(Newton\025Leibniz)-352(formula,)-352(some)-352(free-weighting)]TJ ET 1 0 0 1 301.697 238.299 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -238.299 cm BT /F22 8.2889 Tf 301.697 227.933 Td [(matrices)-395(are)-395(introduced)-396(in)-395(the)-395(derivation)-395(of)-395(the)-395(stability)-396(condi-)]TJ ET 1 0 0 1 301.697 227.933 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -227.933 cm BT /F22 8.2889 Tf 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ڹہsE.:v>krBn˨D~e@e)Rv>al/ #4ϲЇY}tqPMF9H??_7 %wrښZ+"g=F*V3"2O=j[e"Z" ڼI?:0eƒm_!2WsK'Mr߈ܢe|E--ymv_u2b@e𸸼VG=? *_I+@z u= HNspoxO]Ps ''Mi>Mâ+!ׄFUL ],XPl*ˡY(h#*!-هdmЏl^20 Ĕ0&V[孴 lS9q5u#L=ئfSkC%ffXP쏐O{B4Xu5N٠-]IupE:H:9%Iы?O@*JCTܱSn|#ży)/_š%Zfb}PGFF'+z^y%6d 7N:IvCS'zٷ,o]mrc=Ǜfx:ûx1aKʁ9(N_Fk {vYPx=zQ|$Cvk[]*=~8$ٖݚ1;8ArW[_EJd⏮I{ gC^*ډ$>d msc?t#9gA1  ·w͂PIAւl_ !Y5XVފ oEn6>3..{P/fd?4I ?z|>Uq}zz[B;|fZ3^rcËXiKzov\ϱݒ,xrn<+/-(jqɫ òs٧xʓ~ق&UH] DKYSJhY<_ ˕|Z `̪׸wvu@{p*E'T>vm2E K2t!8xmmd\d.+bh ~"mꉈ%#W57vIL3<·x9^_%dx c`]*evppT(BVeETk#x෻yzOlX86%AqF+pX=9 {Yȟ 6IS lYl8"%}"4W. =)63 stekЭ#~+l]P&CHsIh36\F#"uOPR̂3i?P.P 9J ETeKﲁJ<9](GL½u&"ne8yk:U'תh IzJ*CmðN՚Zr=5$&+$饋-N h%\ ,n-dhT#( "r>ܲ^W:i+$(l~UTvo3?SǑAYl@Bb"$D"`D!a ;" G@TDq؄TǶS>ߓs~ۙ~ `-l;ӊӗ*tV)kպ\MUT>1hK[`̟kaX@Acl{l7K_cJ'û !fA 7koޞ4Ke4y@comL'E+|WSqEr)i@fj aSʼn:r%s+a#ZXKNNȝ} FTGP.>ou?y_+XYYY]%u2KEfϜ9tWQQ/_nl69~1ǫW8ǏQk֨WO/ʻCSJqy;8[Ќ&+ssssxxxtt())*ڑDM/^/aF?߼^~}jjyxx)`0jyy󗖖L&~wtqKdbrNXbb^oQQ!x7gϞŋ'NaWxk׮m-fu_|&k酺ި>J[70sjq,ll|sjR,.. b,ǃYY䘘.p8n "## }0bժڂrgC@!իW#"±uNJH@蔐{ÝJJKKK)NCG|"[XX?D C+--q[QpggJRʼ"AyGZRiJBL&;H(IЅ2p=3Hhh(](Zqh0Fh*whYAǎC3|>X1eeeX~ s&WOU$'ouuJ66m (]aQwk8[4h/-z1Fч+RXXXPPB:\Ip8l?sBӋ P$D;d`˽{wǎ㊊@IJ> nNПIxӐ7 V+$?qK񸘆^3A DeA3{~7E^w_<tIz| B| 6U;<.@j ( >IFٙ0Kf?U$9 K$`t'A1v2EP%1fA$30L=)!L6 c+9Q fi2MNTC"Y0B&'i?0҃6r^4` $Ua#NN4^~ff?646r-P1]~9ї^S0]~'9їCf遾dJ Ma8bb`ƢNrU6dcz`4wlpFad!'95GfAvq/9ɵhf@n*|p9,-0I^O0K|(,](( 'U 2@N.d V/91W2g *̶Ar7T54}BF@X+mMTi:i*MAw(yĉc8'qH8vN_o_c,vKz8:}t>Xʇs}}cI);M*tpWOXn@g-PQL,jZTdv+>%{, :s;&elՠF}]sUN7n$e1>L ӧC'Bӡrs)e٤,>:{)O~{)it68vϠcqw9)RY~"ẃ,{j^ egDg]{YiNs0PD9'5C霨Ab³S s06om-;CpAnM}Qm ER`~pʒ= /g2k*V.\:70Se ?۴+=WX!!e1t9tz[ƠXfڴ3<0s9q哖Mx#T*ɬ0%b%߂4M?CSd6}eCQ6ob +ް{׭?\|1ohj*kbB1.|\pصZLRMNNE"Ԕ>NVUQJxwxxHYp>,/833#Ja5  endstream endobj 142 0 obj <> endobj 143 0 obj <> endobj 144 0 obj <> endobj 145 0 obj [ 622 792 788 796 764 820 798 651 764 686 827 571 564 502 430 437 430 520 440 300 492 547 686 472 426 600 545 534 433 554 577 588 704 655 452 590 834 547 524 562 1043 1043 1043 1043 319 319 373 373 642 804 802 796 762 832 762 740 794 767 275 331 780 470 780 ] endobj 146 0 obj <> endobj 147 0 obj <>stream %!PS-AdobeFont-1.1: RMTMI 1.1 %%CreationDate: 1993 May 10 16:52:31 % Copyright (c) 1992, 1993 The TeXplorators Corporation % Hinting Copyright (c) 1992, 1993 Y&Y, Inc. % MathTime is a trademark of The TeXplorators Corporation 11 dict begin /FontInfo 9 dict dup begin /version (1.1) readonly def /Notice (Copyright (C) 1992, 1993 The TeXplorators Corporation. Hinting (c) 1992, 1993 Y&Y, Inc. (508) 371-3286. All Rights Reserved.) readonly def /FullName (RMTMI) readonly def /FamilyName (MathTime) readonly def /Weight (Medium) readonly def /ItalicAngle -14.036 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /WRDRSK+RMTMI def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /Gamma put dup 3 /Lambda put dup 8 /Phi put dup 7 /Upsilon put dup 4 /Xi put dup 11 /alpha put dup 59 /comma put dup 62 /greater put dup 21 /lambda put dup 60 /less put dup 22 /mu put dup 46 /parenleft put dup 47 /parenright put dup 58 /period put dup 30 /phi put dup 61 /slash put dup 28 /tau put dup 18 /theta put dup 24 /xi put dup 16 /zeta put readonly def /FontBBox{0 -213 987 680}readonly def currentdict end currentfile eexec oc;j~EЪ+`U+1;[ihHlgtR@nk{#Y~gJ[. DI~ْ+%hapYz;3NO_O:Vп}KBhIϮԬ";eiwzVcW;I0a1]j"4[{ErGT1QeG0 Vw ߚOҎN'·4b>T(4^mѨnV8Bo8cpWTC 6j'-б^3;ZSd_ v9(+2Op?.BXsޝo!.Y([J$~8g@/Y.Y+S$C9S= iYRu |íPq.`1)KB/к!xYJK8,2(ŝ]#BEQw5,Ge2u fPQ6PnhH~l 棉l|6Ҿj;D鿂 "zGN8fYC8#SfMr =XZ2MIHv@}`6)ta}Y7Ϳ47_75Ww ^6u$; ӕcYfg_2ƨ4}ȱG}THl=YUX 3y-kHj7έD,3>w(=?vez#]2+P)pwQh[$i!Y3QŜl/'ObUxmQsXK _vq"R?WB_˅5sN`Y4mO/z }dsI6ll7ș*7<"f˕)'Z"TRd̳R U8J-%b+*o IrYBDͦx}# ?uTQ"l!D:X 6)n|U YÐ+%&㘑fNܢLHm2[)3n@GRd}Cn(Ti̵ J+$_U E !-΍r=귅״j;|Z~ yk8=0 %[ڡkK/'Ldnqɓ*b2 /7@˽F>֜ CFjxJ4jH<>B,`K}CLH+ek8up<¨ή-syr*@Ο9pxL>4w~^q' GhSN 3@7T' lJ ޢԦ>37E؉Y30N[F`[ $Qh,D6:B Ͳ:U 7us" Q"X$''ҒMwS+Wa?}emkAn34hLw~)7c T޾H]{my[?{d{d fg*>5q4fy<>uѶK*q4i`K{ VOaHxA-`ȼK_0ҦqgV\]tj(;-wܘ7ue`gһ<|)RVC 3>˚:z Mە^W {膍z}V AʅC/@ꔌgP z9mÍ*Ѱ!WR뱷Gr?ag|[¿^fcH|sx^m'˵;:UTgjTvLtq  En`Nqpr-:[D݉Lzhef$#' JTb\G~FU.F&wE`~?c'.Ӭżtٴ׿ۋo${0 /F0QG pށ;rA^,e BN7GQ\Nfr|jx0w H|9mJ5 XcZ%E&YL ; HQ GDpnh֏}ޫݚ~DM7A)V xQ("Rڸm8b=;3I5Z"^lWt M?pq.77V&Q[JgӞªk %pq5(4XtщdxaVr79*9 W , u\ /RRVY ʴ藫2 pp Ag2}!Ýw.Xi;*LZ'2GMqSyۖ-" 7N:jn=fZ]L )訹hE Ժ0%]ʗ,CtGRf>,NK1+"׽ĽjK#MGvm4'VVDVCD{~no( ̍Sr#dN0plDSb3 #T^\KXۂZS -."H蝁H&H?ͪX L<ʭwF Cþ*o9o mՋ#5vd:4@a]5$,ŝ!KJ#j6Ua֒XWJ)Tۘ%)ScLq.%ۢmQ0ĕ:@</CɭXsm_7]lrME~uf(gO)48oi[zgTfUsIwrP,JQX 71t89{c_]H'!.g&Ƒ=J .ǭ\LGNl1ˮRE9/UfUׯC"y:h_dEMh6, !E;4LP@mC\ĕ.Sk$j X4/!g53_bš-CD/cȚ5Б/2""URVa> j[E)uI~wrlEq9ZQa}ó tV&!T!.+f< D]`xYȝ4˖wSu0QGE[ Q&lDvendstream endobj 148 0 obj <> endobj 149 0 obj [ 278 278 556 556 556 556 556 556 556 556 556 556 278 278 584 584 584 500 1015 722 667 667 722 611 556 778 722 278 556 667 556 944 778 778 611 778 667 667 611 778 667 1000 722 667 611 333 278 333 584 500 278 556 611 500 611 556 333 611 611 278 278 500 278 944 611 611 611 611 389 500 333 611 556 833 ] endobj 150 0 obj <> endobj 151 0 obj <>stream %!PS-AdobeFont-1.0: t1-uni-regular 002.000 %%Title: t1-uni-regular %Version: 002.000 %%CreationDate: Sat Apr 12 22:19:08 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Copyright (c) 1987, 1991, 1993, 1994, 1998 Adobe Systems %Copyright: Incorporated. All Rights Reserved.Univers is a trademark %Copyright: of Linotype-Hell AG and/or its subsidiaries. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-uni-regular known{/t1-uni-regular findfont dup/UniqueID known{dup /UniqueID get 4172112 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /USCGMP+t1-uni-regular def /FontBBox {-168 -250 992 997 }readonly def /UniqueID 4172112 def /PaintType 0 def /FontInfo 9 dict dup begin /version (002.000) readonly def /Notice (Copyright \050c\051 1987, 1991, 1993, 1994, 1998 Adobe Systems Incorporated. All Rights Reserved.Univers is a trademark of Linotype-Hell AG and/or its subsidiaries.) readonly def /FullName (Univers 55 Roman) readonly def /FamilyName (Univers) readonly def /Weight (Regular) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 67 /C put dup 68 /D put dup 83 /S put dup 97 /a put dup 98 /b put dup 99 /c put dup 58 /colon put dup 101 /e put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 46 /period put dup 114 /r put dup 115 /s put dup 47 /slash put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put readonly def currentdict end currentfile eexec oc;jAw-ᾉYň5t&נ{hLGqB`d˗Pة|*x\ޖHtEB-gedog7Q`[['W73sZ9 m !tAY!$tY\r[uTIUiBy[Ȝŗ3Kï6zJ!˒Js&B5CV]_I50$zEL>6µ3-O"Ղ,vw ;q8Q^Epd4_PsxO^2|jp5Ժ *Vg/ T"rɵ8t~k W%3M?$ۛWuGt5o6.2|#ԧ@ rد|C1k}')˃Umt8;:?2>GSQs2 KJۋaq%3(jv'T#o映ӲXƴpi-=@ؚi YCuC 纞 Wj/: IqyMG?rKiߣg d@rQKѴ:,] n0a]b g6ˈ}R2,^3>J TŘXbM]&Q2U}o=!X3Sq m0_׬P!C IKV.]!Nu}&QR0NtX.2_%R/d^4^˞Oqq+Q c,ީ)|.'ȣ_Ȁ`( H;1A CF=V˅O׼ s' k܎W;>) aݳaXY7Z bݱϚقf/?8U7>p'p 2ÅHA"&xt՝cs-|2N}i鍜`U+2&cW\LG.51n{uD Q'qGSe9ޡ(!@m:)IΏ;ipU@>\DKCV${Kt \׫̒O̗Ӌ9 ӦL-??sp!/$OMQ':Εz)|Y<^J8\qa_\ތQ*g{@N HnHƌoE kF%'nH깻L}j~RL^lV@vOkc}-e r % ME-eKi7ӈO^+l%"s1ZZ[%)%b??ihogC!4ZuuNT!ؼUpD΅"#pQ]gCǨ}dڌ%=c^C : Tix5j[U?SSӓ]!?dN@pBn.X֚^[AOsDMqAA[ 7?Dv +rʈ7^BS R9M?^ݬ@Q8@b6X.)ՆbgݷDY i$3/̯\! Yll)RQ8xgsaU ApZB:ud*R\ ܶh ?\NIv3!=uEPڇ]Ѐſ֨켃LS/̈-J8jU^4gu7EvE鵈qU :j`-zg?ؿ<*dß-Ͽ;r`_zu{K˗F3\,3*^  }\t׳?_|L'ijGwpXku?K# $}DQ hzO\*8dqS(0c__2F+*"Q鳐JE3NDUA4 ]ֱ21 A0_"j>2qڐcIsA{h/c )Z'ďxrxtr3hͽ Pnd[cwL]#K>O96a6Rzv`+c]# -V(r/.gsIߢh O"!jmk31EvUA8q/(*cf v7GWc&2$ q C"O sy…d{ BpΡ">;Z[!*_=9Gl5GPl,xFcɗ'ZCǸs<~{.#WB#shC ӑA2x>uRi'i?1p;J&k?cV? 4cH!P, @1Št$:gLBWcئzG> (y,F6ծMnQ}IMhcpQ?Bt#ɚyZ8=ٙ/NzKȪ&!FEZTd$Vta3 pW}d{N.\Oj@km=:TnPo-s;5^- VK ˽b#7.2JJw^%\6$@)RQC䕝p*+XK^?FH582N~9VAky΢od=Jc y5[܊$PKI`Lد"Iz=( aodwF=tts(*qYrpyڡ,0z$nA6_ה˞T4KH N{rT(4AIT¯nH93"l(*"TՊz_&Hȱy]k4ԋi R7+L2v:BZ\çkiSd[*#\E鞭!C:#ɌnI$fYu\5M\_ oFMlc0Xi{wŠ%xgNJ!cEtYmě/qey9K!& eڶ]A6(2> wTlPYs.9{D˔aΝJ76ӵbVe2[,%ܘWiPB1I CL5g2c»6V]iU6*F|ID'"?W}6O;l0?j;q"k,u_ĆwD: I 2Sk3}|x$xQMS?ϋ?昝{N4_}euc<,70Gޅ8ۼL&uayΊHa#m93פi̔@NjS6!9#U*%",k/ٿ]M }x piC2ٗ6,Uc+)m w(!hAg*gU-65SHr0G ﷴ$~0`⪯MiF.!Xe0CeEcޣ%]tIt:< Q)Z`*Vs`fntmht\:0җF_:%O$uIqqb'i%>C@x{bFSOd*cZ_ 06krCV^H4 #~bs i8O|GO7:d3Au{CS?)mɴQ;%Ilø_Z/$T~߬[.9zfA3v|'a|a5 J?#YF$+˜Zn%Ԋ<\p 'Wo]VuzȐ1wD딁_i\qzLX&S9$Wx( LIGa=r8vK|,_D$oZNHؑ c |y*Tt]3oB[6>$9q,dylCz /)(S|["$> zQ R/G,YԶ٥X#rP_xOddH$1eE4 l5؛ pQLZU[7"3te{Vװ428&>L;QqI~$,@[b_=\Ve?eeɉ#`CRvNk9\}k! :/BR͑G axe3·d1~T}Ggs=؎1&h*т6N_wo,lX49RU9Suli(=THx" Z^P'!nW߁k~0kGa=1,3ڪG\SXvtQD4j^˺9y(9py@$j)nt),y1g[ʮqt׃:)ŒdLҟ<54 6T\M08(b b{:Hȏ׶\LR\G:fY;2?R%L=qz.ivj֏[C'jSl!Stɶ_ĬMuYTEڰiG:aV<7=(7U/F;&iiسE8.U6SV ƭG'19HrH+Ԍ ۢa3!Xzvk;b(LJܚDD%B2[qg@}<ڭ:He Y9+~?`G0Y&Y-c} =YyX&j %\3^]cMM9b+A YHk2xZTu-lX!x!xy<,򀙄U5d_%B+$1ჷr)\qu-ެnrH/8qbpw=()OzYF1H/$Lt1tLWT\ h*x2 EzJ\hxe:*WT7?}Y ~":ujDQ:oJg9O0M6!6o U9pQ](耝ul!q>yjf:CȢLJG2Y!$ٔ{Ũk{g=+͞IV@H梗1籇5)(l5f1Y4PW!gYA2*(ׄUw}J;AN2ubrTmoOoxv>J 1 -)p>r)$Dϭ@*"{Ht ]pt`TcQ + =ȤQzmpJ0fG@q*͐p~ ??׎VeG1۸Lá9%c.6#؈R}Dui';^-[~dOrGfH"$zGZznRUjQ˼#9qEŽbg[A ief3MWPq  . Z Awpnmp ';p7yC2nnڪdwS6`<ڄ_੝gmˈhɸ Nhυgy=ߞ.9I gH=øY2l"99T;E^ UK rb$&Ƀ ~> 6>ixY`a`y&5Tyfa{TX5 k]FTrISa4 Zmwu??-TO<¶̲#. /=2{( cj=JP8B;W!FN49jSAC:]mU]_Hw,t&}lvSDޕٳRjouH=n{ )ْFX"1{{@ OzdDivrr+GXןAI:5H:)fr}:^fZ5.^՚r>}{~]F@E *k*~?E6Ȓ(䀐)yn9H\"bSg7o,2io` [`mbs]h,񖪹(H=;+׭2-2=.7HITsshfIPb[q}Kf;57;_k)|^Ru{g&vfֺ+ ׎!]!k߉SQum$XEMp@Sf@O/$C`l=>amvFw~p!@i`ـ ԏ g_)j8ߛuNjm#B3~֊ȑM H%jT2 YAPo[@kq9V1m켭pnTw?2QZ*7ܔxg 2]酶 Yt@RpG֥5Mn2Ϙel%| F›B^,D~bXc'tlW=r4d7&Q ˾zR! |~`z$ 3=,T>^/6Z1 %}HKGr G2971ĽBMO~X{=dWe$ ye6p6M@ |qKM\2(P Q#'ĥ_-S{<萦.ZE&Ӝۣ#spď`dW#CM{#,gcH{%MM[RLX_ {ИN!o(12֮2ʕGIW<,zhO[3a7:Gݍ[G{RzJx{ r o\%[T!\^-%/R.ytӘD2}/H%{`WmZ[^L+̩3Y#'$V0m@ђR;]0sʓ`ikЇh _ޒIũՁ}"i2ۚ y\YcnKuaI%|>'_I;OIĂN<x+b{bFf g%,nQnAd:F>ZnRy׏ٜW ;)5"&Di;6Tqzisυjmg2|EG; KycHxpaՅLoZШ`l !?S@~n^t͍vP++jsX[3irļauOf@ (a ԋyKdi* x2|k:N]k8R3 ͏h~G.:ȟ* (w$_!Uwp15t53hcuHv6\ߛj2B~;zcRեIG {'l{& .|HL:Ϳ%FGmJ*5ln0dosRӫbs;iӎ)A0JC[.KX盽-4dEC+lM4aT@l БK5ir{fI|QA[lYS\4Rvxmƥru=ͅ3vPG#뼂^nӉMN[$Ifu;L)1==`q@Fq/!̜QU|E@ѿ'%YR]''"E)rT*\L0yeϊXގG`T0MKkh8esG(|+ebƛt>u+]9ٻ92G5}v J3U_%.YyLF˼fn;qgc儩xt־|۲C lD/R&ٞ!~&|(|M;E8A`J9@em^+i*{0ׯjcǸ8@kx6zcRեIG {$'pLa$+Kб4$˪-xr/V]򩩐-8{2LQ`7G0H5|iJ oͮ ;tT&TE;? 2ҁ_ie.)poϐԥɄo+S{ Yd}[w> =0,?&,H? +Bf% x+2Z <4礐ƒψcH3/U,9S@ondML-Ydr P+KOagU!`&Pc0L5%)պc0X:ў%m0`x{1]HzSZDJ*|9isJנ69W;#8@ ^E~yU3M7`XUbԆSbρzPxQgk]amN1E%4]O<1[޶z\pT:UKb@@-қTU"]}x XqQZ'~ (bmݫ/2T -%\O/D:($2&IC)4[+zF*SSctטtj56Q ai\/#ѯm֯X0϶t07Rv,#HLq 2 TnM#] ONI7j}0n#5n>@-Ki{ݚ@S:(^[t ꕹFMia}lrj5:0O/L>6i9*2hb7g2vx#WjR=3l#̈Tz9-[N|tamb*ZKZUkL}%Gl䩀y'TԚ.&* VeÔ 71]<3)etIOQz|ޗ˭JU=ooxj Հjiy eNa62a2h9 9 Pt`2<#^mF̶a%$s1*ތ= (sD 윗I(dگ´ln!NJy~JYM&n%秇j"cbkM'-3;tpJ}={_EXbgR )*e7`hPVg 43CѲf*ZpR!'2`J瓬v\wFI neL ,A}iC>@qK.%Us=ARQ^7 m'9'jJ F>lm]e֭[rvRfJIDXMs2y ٌ'M{v2oN^)Ri@kg4ɕ5<(느|ŜfU„/\n;d@YRDR-'pZÆ+wmyc>ںObx${`)Ж ]I:RbxcCJ=ZgB'֔qFOD]0\n[\K(Mu _yO"kt̝])HX4I^(1=6QaH:1[F˼3("ȿ6z>x<K|8$>7s.i?uC, \[ۧFX5mȦ_1?RM4MHK7,c.DNԝ1rbM0|q%cI ^G G"ۜ4N (ϝy;iQ[h!9sۃ*neazXm H+d;Y!)\"^*!rUpzO1ܳ8bO`/ zQ\ޥ3xVc PʾC~LČ&j2MEt3bdxs89QӃen(<۪۠a5.wn TbXA;Q?ȋ>g|8'g0~?Jg@!ganRϝUΧ"tcQ D*d/!"W%>Ux&L82j 12#y*i`.RKzY/zFow"t.\N:\&=sDw}r:=j#LD`~؟?BB(Fd@B#Av.<62%S݇:] # /@J<|P=7 l:&J)b2+ -zN ꀑ6^OCtʔQ\Y*ȴ;Jcrnn(l)iW#q_ 7-I`+T0 cEa- 6g:^2 ^AuR6M ʷNES˖VD\KǥK/Y#O .$Qm{ZGC7F?tSj\XA:BrkY!HX@ ~Qt}/=W p5뤅FKCSٵwIT胊 RU+^o8yG nMU[G>#"lc`]z*lny[\?$~wX{uK1>Aဴ$vtaaRbMk3l+O7ĠCƏpM: 6Bm͈L~u##V !@Cus8ht&Rej1CӅHrl`Ŀ,w6i+'> Dë;?f >uxBO7 }pmL܉rݨ9;k0)ks3_3Ȁe)Mf2Qf1EѸ!lÜs12ov!;0*Gʎ}mڐ/{#;ݩZQM6!6lK!@Mx~303 p~t?,+\_F7NkӲ_Ts<*,xz0s䒤qe-9"B p[ӕ!#F'8`(xa :_7'͟1E7[&(˭_qh$$k2 @e,a.l.wQ]'Epm  z`NB!//k?׭`wόť.l> endobj 153 0 obj [ 780 278 784 521 780 556 780 780 800 800 800 800 800 1000 500 500 780 780 780 780 754 754 754 754 780 780 780 780 984 984 754 754 1099 1099 616 616 1043 985 985 780 1043 1043 704 704 1043 985 985 762 270 1021 629 629 784 784 1 1 556 519 722 556 733 635 780 780 634 425 452 780 780 451 536 536 780 357 333 333 333 333 333 333 333 333 347 728 333 333 275 277 700 776 776 668 668 668 700 700 662 662 444 444 444 444 370 370 ] endobj 154 0 obj <> endobj 155 0 obj <>stream %!PS-AdobeFont-1.1: MTSYN 1.000 %%CreationDate: 1996 Aug 26 20:27:17 % Copyright (c) 1996 Michael Spivak. % Hinting Copyright (c) 1996 Y&Y, Inc. 11 dict begin /FontInfo 9 dict dup begin /version (1.000) readonly def /Notice (Copyright (c) 1992-1996 Michael Spivak. Hinting Copyright (c) 1992-1996 Y&Y, Inc.) readonly def /FullName (MTSYN) readonly def /FamilyName (MathTime) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /QYJHOY+MTSYN def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 3 /asteriskmath put dup 102 /braceleft put dup 103 /braceright put dup 79 /circumflex put dup 80 /dotaccent put dup 50 /element put dup 68 /equal put dup 49 /infinity put dup 0 /minus put dup 2 /multiply put dup 67 /plus put dup 73 /semicolon put dup 81 /tilde put readonly def /FontBBox{0 -954 1043 900}readonly def currentdict end currentfile eexec oc;j~EЪڇqcVv3ދF'HJ1ۻ=AWԯ~k=%LT~1%V|St99 KYMyD+,gD}F2Eh#^#dT(@UN0u˰jkV"ozG+1O &`=!ΰ}A/Ve^]=J2j`Kk=eYp6\ Htsc{M|0)luŷ[u;M:= آ]ZS3Ƈ~#y ~qPf= af|#fĬ{ZeOʄݩCs!YՊG IYu~M& 9y|^=C,`Qo aE,rP zs9ε&q[R" sKJ*^#nSC 9Vv"44`Ro?ЬRd(TaJ*)@ivpːyACEs=}|Ng 'J[FG ,]&{!c$1K Wb"cSywGBh9 ա `(͆wTh_7A#y"ᵂ,~d=et78{*|Y: ,wRU}p$f+2܃>H.j{Ms NteikyR śuVb pǓ`cS|cF03RsSn0u)RnC[dk;Ǻ8Z ~s_4 `.Ϣhpȧls=ZZ/\npE_Bc?驾jkp=^\F㓓=, nUe]nCd;V+;e鴀*E)񃬅~bfod A|7XS_TV:.Mf4b$v\jWNў0}0*M@p(,b` Ky1/ i YEL6mXhĠH3A@nh9Yr'HMdyy?J] VlV|ڬ+h|!d|_vG7tO/$g uq}1þ{}D#&<1i"g8t! j5"ݳrf=;Cz)d{P.ww6ma؃A7OEW o ; d9t+ -GxY7|2:H%4KM ]A@.콭~؜ZxF]Go9%_͝x>׆u$Ft@UR'S-bhv$&rťL r6>e|57+j6Bf~ E1S%!XI ihwsErˎr.t)_hq';@ǡc_7_&d?HхQA e6ϬUx'A[gT~l拙/o8s!N|$Y:WCAnh@)Ɍ;Xh/WjX{#Ox,< [0 &/@cE&WtϜ\@H~tAƇ׷6gQ}ҨΒsԲNlpOM:bk NK↖^}#&7myxP΅]JL?KÌs2I/!=tWOQ&@{Ois%_RE8Sh9E j۫m=ՉZ%zqC>xN ذbcĒ"y)#5p%[91F GPD!3˴ >11k0= t-h:?Ja/r^&,08.% L򝯒ED4rbs|(jۏ ?lȬ9_tYh5"G@5LH+g/EW5Tp/t϶Wk-ퟳS3|.{7F`{q˓E8շx ( ݏ~GbxC[@al* tDg#Ѧ`sWPE-c{!m39ؗLdEI/i ]?V0Ҳ(V :AmYDMV/+D^?= fpӓsH 0bh:+'jYTIcA;jܳ.7tqqG: Đ`j`Df^ FMھ+#=y&M9JTƉ<ݫc ,tl1b /uB.z' Ӽoîf3ohMlevouhp= vsKX21KwNcW;@ݦHR`RTd8K Β2ZdtR}\ڒo$qo_͵HtEHyL(^NeS`#mtsKgZpCvưc>ꔑ,LW;'-YeJQsT!Q`endstream endobj 156 0 obj <> endobj 157 0 obj [ 550 541 528 628 510 476 593 669 316 307 574 455 822 652 611 520 618 562 464 479 ] endobj 158 0 obj <> endobj 159 0 obj <>stream %!PS-AdobeFont-1.0: t1-gul-regular-smallcaps 001.001 %%Title: t1-gul-regular-smallcaps %Version: 001.001 %%CreationDate: Mon May 26 10:39:46 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Gulliver, Giant amongst Dwarfs. %Copyright: This typeface offers excellent readability at very small %Copyright: sizes. %Copyright: %Copyright: The digitally encoded machine readable outline data for %Copyright: producing the typefaces licensed to you is copyrighted (c), %Copyright: 1994, 2005 by and the property of Gerard Unger. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-gul-regular-smallcaps known{/t1-gul-regular-smallcaps findfont dup/UniqueID known{dup /UniqueID get 4084430 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 12 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /QDTHNW+t1-gul-regular-smallcaps def /FontBBox {-115 -321 1407 1009 }readonly def /UniqueID 4084430 def /XUID [1021 992 867865856 15320446] def /PaintType 0 def /FontInfo 11 dict dup begin /version (001.001) readonly def /Notice (Gulliver, Giant amongst Dwarfs.\012This typeface offers excellent readability at very small sizes.\012\012The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted \050c\051, 1994, 2005 by and the property of Gerard Unger.) readonly def % Gulliver, Giant amongst Dwarfs. % This typeface offers excellent readability at very small sizes. % % The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted (c), 1994, 2005 by and the property of Gerard Unger. /FullName (Gulliver SCOsF) readonly def /FamilyName (Gulliver SCOsF) readonly def /Weight (Regular) readonly def /FSType 4 def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -75 def /UnderlineThickness 50 def /ascent 789 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 97 /a put dup 98 /b put dup 99 /c put dup 101 /e put dup 102 /f put dup 105 /i put dup 108 /l put dup 110 /n put dup 111 /o put dup 114 /r put dup 115 /s put dup 116 /t put readonly def currentdict end currentfile eexec oc;jAw-36Uu4 l.Nk48DPh>[ME7wk9B.H.CSoZqO O)9OHl~Q:ɾD0j J'JZ `B 5ԆG tbY7:Ϳ2hK@,'$Qr[GB_720 qs`a|Xu\ӅZ?.PcN7.?WֺYq^$^VA7Up c?{RlG9a% #SȣP^-qTo8g^Z#Z #v.Cows?**hfy&;D bÍ!*=8-T9wPa4ԩ^vqB }p ;?IX`D-5 %[!Ӟ1o gn/yhgD`Ce}zB-8Zvʼ-ki8˹HCW*e*~V7gHmWrM)OlPlSN hUGXǧ=v%vӈ ^o66'%&AT( uw7 :L{|&( ,cY44rf*go&z* {NhJl0r1xР%syX\8 ]n`85˲#sBIr:lr܎eǪ7o~!sPAz18xA նNthTw6I[T]`T: v5Z*nZ o)f{H0jer9;Q"}l|a/osARS#݅mrnWe$h1Љ^XY{c+qi|l#mH PJ uSCB`ְ{FflVηiޢɊڿ;%rh0x 1y=XZ |~{rwy)&W$.6K6'ؘǿ6BA%dד\vu;7w}`-!/@ )$9vg޽ȭ2,8tv"# 3 $Buw`f aMG8aOһYbI#mM E.i [qI]4>stU'5upLQvE\ oG~$T2i=$v>ÅN.ȿ&6 ?XxKBal߉X+ıybhrm:dïi9 s܋J`I>:X|xE6l">\#M^>)Ʋ}}s14_;ũ yW-D}#/WML윰k7q7t>O@tlӱ%@WǼD^P ;1 ہZU0jm b{e(zaX ,9s~ƣK ͔?;8C=" C; jc: vhu"w@<]Lجt^}2 ԍnK^j*-FK8:s FBJ27+EP A@F''` H+O 9kI^SL<}Ir>4P :)H1䁜ž5[_RUCAxl=_0 p#ks-K~'G OS@~zk9j?qeVp9rAOAM;n] @`}Bx*QVO9_y|=I_ 8ȅQ({KqKbAanm *.Jh-a~Q&wiܪtP*AH)Hk&E}ZOmzMo\ ּ]8JvxJdo_P lz*o{ۡjWհ#GMN].ɨ2e'%_P2̬W'MPAYQps]_HNs&zt~몙~?K _̤H4GyV(Akj.Q䐧HJ:ux\jLFzoSﴔd!в.- cmnWċַ|Flb`.Tv#HYB\)UґV:ҳ?v?&$AOF GlxbF(qfƂgR]8vWJ7krx7M dyF#qgݸts5r ֤cLm3+NW0: )AI!%A7vac;2FERVނGdE90N!tʆH7l#V]^%2ShԿ CΟ^c.2 ),vo,{(ݞK:LlwM 2Y_?l6EPA>YlQP?7Q%1bt [-F˕<1BoqH D'sRrz,Ռbct"׳1&&3e"G Ƙ# 6|a.T_gCAkm z0Hy-~D"i/3SQEfab6ttMgVMvqZ{."3&Wּ-K$IOɢgz3],tG x֪!K3s(r;h[;pq[^[El2J%HZ9pQAQ7?k11gEbc+ktZE XxKBE{6tNa RSmBD}Dpft d+\|ɃVS+C.5c5 :Mhsė Sc흢ܬJfKMمS*)HÑTۈ~;|ӖJU\5a5=i=ljBDxq!X ̦vJp/Y]D0T Sr;y7}{"NV!![‡M[,jzyhWe lUbڌAz*Bנ/#U/qۏ_ހRVAiR2MO.]LaiN+Uzczi :`vrtWA%FNtQQ:_!؊H ;`C=K-վ3$$qStV,O*;Ky󝳻|l8D0@,e9dvfCS:L7و_X[݇0nc]W3[@gN:hV\LY6vNQXPoRUcc߃'LMs!s'%Rᄟ~lfhQDLn7E P\O%9Tj]|Fe/2͹R tَ@9.-~Rxը /W)Jq4ԓˮbd|)#MV;lY p%9ǖq /s} œ8L6&Pzb G:&=W5F$h1Z~ :txkOk"X%.(AZ(1cH }C}X~cR [`?ձ\c %4ƫ/ 7kct=!Zɸ"/[818!tqxQq}([`$6ɨ߂G*9tH戥>M/&.+MtG1MG(\8f#7p85 MfƭlO8'eq*5ƝDV47L8sZu\ƿ qP~5r{P|)q EDsɺ Yɇ[WSbOH,ƞۏ VF4V Zܰn .ow_吵: %<*Y/sP`6#hlWg6Y i*)fySc[-5GwoK=Ɔ`7%(F`G_\? &A_^7` ڞx᧓1S>%!h< D?AfL̢o}P< 3Zq{BZKAM b&<夔3@s"f_t,בwAˇ-,EK)$6ôOi]KсylZ~ nYNLNbXƻ0Jw,BTHgђSD-\fXC#pZ_&0L:ᓎ0_eW^]ԑŲ]b:LQFWIurV~W=dH#*7Ѷݎ&Z5˫wƮ3o{ GP AzܿBK>&Q]V[:]Fq%ac7xStGp w eꅟ87>d& P(y*{j30ˤ~4G_9&^:]R TQ9&e@as`ij5W=\5< ׃`KD ЗS#| )""9[]?ç!,>(;$+IKr? TR'g>NPl`6CmQ{,%>rtFz=1sQ^TfMpδ7W$WBB#~%jĸendstream endobj 160 0 obj <> endobj 161 0 obj [ 579 820 0 931 286 289 600 572 565 861 854 1000 405 413 685 490 565 768 227 373 377 401 549 227 408 229 313 553 553 553 553 553 553 553 553 553 553 316 316 549 549 549 504 779 607 575 577 694 539 486 658 715 301 297 616 474 890 700 682 539 682 587 490 518 687 609 981 605 569 528 343 352 343 549 500 217 533 543 450 556 480 300 514 564 286 289 520 274 864 578 533 556 537 397 408 354 578 517 806 491 524 ] endobj 162 0 obj <> endobj 163 0 obj <>stream %!PS-AdobeFont-1.0: t1-gul-regular-italic 001.001 %%Title: t1-gul-regular-italic %Version: 001.001 %%CreationDate: Mon May 26 10:31:00 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Gulliver, Giant amongst Dwarfs. %Copyright: This typeface offers excellent readability at very small %Copyright: sizes. %Copyright: %Copyright: The digitally encoded machine readable outline data for %Copyright: producing the typefaces licensed to you is copyrighted (c), %Copyright: 1994, 2005 by and the property of Gerard Unger. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-gul-regular-italic known{/t1-gul-regular-italic findfont dup/UniqueID known{dup /UniqueID get 4109950 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 12 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /IVJZYG+t1-gul-regular-italic def /FontBBox {-141 -321 1053 1055 }readonly def /UniqueID 4109950 def /XUID [1021 938 1479029120 1353546] def /PaintType 0 def /FontInfo 11 dict dup begin /version (001.001) readonly def /Notice (Gulliver, Giant amongst Dwarfs.\012This typeface offers excellent readability at very small sizes.\012\012The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted \050c\051, 1994, 2005 by and the property of Gerard Unger.) readonly def % Gulliver, Giant amongst Dwarfs. % This typeface offers excellent readability at very small sizes. % % The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted (c), 1994, 2005 by and the property of Gerard Unger. /FullName (Gulliver Italic) readonly def /FamilyName (Gulliver) readonly def /Weight (Regular) readonly def /FSType 4 def /ItalicAngle -8.5 def /isFixedPitch false def /UnderlinePosition -75 def /UnderlineThickness 50 def /ascent 789 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 89 /Y put dup 90 /Z put dup 97 /a put dup 38 /ampersand put dup 98 /b put dup 99 /c put dup 58 /colon put dup 44 /comma put dup 100 /d put dup 101 /e put dup 56 /eight put dup 21 /endash put dup 102 /f put dup 53 /five put dup 52 /four put dup 103 /g put dup 104 /h put dup 45 /hyphen put dup 105 /i put dup 106 /j put dup 108 /l put dup 109 /m put dup 110 /n put dup 57 /nine put dup 111 /o put dup 49 /one put dup 112 /p put dup 40 /parenleft put dup 41 /parenright put dup 46 /period put dup 113 /q put dup 114 /r put dup 115 /s put dup 59 /semicolon put dup 55 /seven put dup 54 /six put dup 47 /slash put dup 116 /t put dup 51 /three put dup 50 /two put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 48 /zero put readonly def currentdict end currentfile eexec oc;jAw-24 WEvQC<3A2kX0k^|:ٴfb,|=sLu2KZ`3ndgRw@),q՜G<&h'. ΍883 ABAԾI$s@F25ڪ,i pK>6K` %E((bsX5QE8:'1#x[ob0S)õa *eTZD<oWNņHXx͓Tt i?Xn~/G?]3IX6-$r|ƌyS AQXM(u0x۫3+1?&cC1@UV*Z .A"]Y yER\kb7P4 K$Qh+63ήo:U.,tk~uP+J ?"&O H0fS2 .?GPO "/]xkJ"JӚ#B 1u!> ׵ Zvb,:S}2U7I=NEq]`њۿeۺ'B[xe%-g9*fP &y Иrc/8>~i8>LFf|B*G_˙VX0 &: ~'ިP |q)̶m&©+ X^݌i6Cz k"ǬL r]ݚSa="p"?+G| !Y " :A%:δ%{:c?n &f(%)oŕ0NnVL@oi'I_ c `3;z8qefJ U#)rE-oɁ4W(7BT `%G÷>dߋq ;:O<#̄ʃʭ҆vEfhK!%ĻtQ VO4jx.'v84s!QtҴ\ƶJ{)[P 3̞*4,s+%V׎MZe%Cx<{ߕ`Fqo~g_oxhO'o=a`JYBdPWOn^qmYkO}8B=K_3K5`:AVHe6k۲nTcrjt,S@P@'nOh:FPN掏y!8mA{,\DC2\N~4 8Ǎ1DB$eVUB+#MQ{M+8زudAխHq : `͜͜ҵx tJH.VS/ΝL e<^tޑ'RU;Y]f'dG1VW֐-}%0[aD07,kꌪe@ޣWA 6oBsb ^\j!ApxKP!p`( R)a4iWʴ(uRX E9R():+~R֗5I)m8kB +깋[/UtWh SS]ep3zv?νbR<l dk2u'[ʨ `aco Wp&Vmy! !b//6i`x'벑7x  <7NqKZpҰoaZ4M%M.%H"Pΐ=FQ."T9TH֦ —" rb]l"jUI[)`^{GeN.w>˕4%i0&1,aN/ᴦFhCەWфopJ?}'#=KV Ph*H?`+hvfD,>W1;Q݈4ưϫO_97]G? p˳aNHQڼˠ ̣%Q\{e?-m`|vTB9hj511޸=eh# Cd"|?""Me]r ȧ?|˓ap WRu/-F ǑIUœ~1K"?׳Gp\zKT<;EDͨru9Zr\HwM=g?O+p[ƥMW1D+.A{AV:e]RxƝ[%YF4|95ɜ+\#:rz(-[n GSAwROtrN dG|~X8&D8`&w P4nH`NPAr2\ +02Ř3,{>^;1;)N9-?j nK; Nm晼@]\І-@MWWi#s޻&m{:uKlDK{/6*bqvbT hsg`؈+n1쮸tz-8z, u^zH-ZDĊ[2%ޚ 5ağ!5S)"_Jz󭄌"{5 9pC^q]r+@fϽ;6j\'j/_ ;q#( ȅ"Rݴ B{m͙/hmOQ qV*Ci_&'x1MPb;sVUz1;7qP~56:f 'Fص¸iDJ+TǬH_5y8y#'z^uβ^G5B;DܿL*ۍ$:1UGS4]O(Ge7Phi5,Gd# Q㴭K(P^|(ێ<=Vp&c{i70ݔ*Ss툃n)q쿂@tg_aW;󦦓Q_ ͱT:ȕЁ$?DBч׊7 sd Wbk 7"bzy6 P<QC//|NvSdw U!_Ph&ֵ1V1cw"u] S cvr87N[klux\WM{7ŹǠ HI~azaws~?$˛Rȧtb3v?#XVx lcdD Eֈ ~A8/+>x9*%p gx0>Ar =~̀Mj' cҒ3l'U2rZ"Z8U<򖊮WK#!Uj qˌ,">/T ֔?#@[Ѷ ]JW "y4kOtbC?2=ѝI@|; ʌ@ZT,4}J#;=:7U&YT=ކ1qHPHiٔ ww6{臠n,/|- |sڒA(Ni .;6k l;}l8Ml|%zvȡWms\?[H40HrۘזzROx$ň2Õ ݸTwVMP9T~K%6"G)seUٟ:ya 9/rY\&k<3N ZeFJ (T#d5S5D!#.* 鍨(-5+JǶ=3W&3FcnT(ÉvY~7៸iC J+z!!{2TJx6 #h|ͬb.C< ~[yH{BXUHZe ]vKmVփkHAfƚjG2JoC7y=Ϊ m 14^J&RhkِGkJYC$xB\}T1j [$yڬ;-TieKԦVO3șOSKcYc\Ay -*/(F [@vl 2/5C fPs҈PelAk@9swpcIIgMj1cw#oЎ]JYFQf[wThfE׾m6+B/MK. 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S, Ì}Ec.nhA5 - 5yl65r 5Eö' ̬j"WŮѵmˡf8A =IH2Po֏0] X`ܱr;odhNLHڤKT4(]U1d!فuDu0v ]~nyշ4Wm!Rq&WCSDX~`ʁ;w^=OepMox He{ս|0;弜T W4էRFq H*Ѣ`쯫cu.> g(SpkW: U-EfƯZ=/eMOqR`UoWc $(}= PEf C "ȇKf ՝XlʖNEm3rC-$gPh_̨=fpڷV6=A#kBa,a`߹[u'3[)>Dȳ1ō֯{Y N[ļQg›;Ptm"tfR)KB2 !溎7k >۩/֠`71 9X*lW|֑!(dM6Ѭ|xeg&!fH_(:D=(ƿN Ӱ#@^ , ae3t_Yi2݊\LamSӐ!Âg&M:_0ϫ 4ݺ2xV3W0: ֪w7+ G[Vv)sbQxDnvD,*4t jAk*HwOul˒sX!BZ@!A*OGb 51:˙$4;ã k/XE>hZG? yyfn f:/g,:$yY&9'˚A/d[x?3;_CDObG t2Y K!d=*m{7B 8z d2H>k]"i\f,ZvS0v| hAgEvf+? ZxXY#OsG6sTDM f\,0TY0Bq،UbAUm }Z93?Iv^;PFX?ە㿇Јw07d!W+E G?L6T7Sb:kD9^W{΅nu39'fd y[M>~ /xBvU<82&*>8#-ZH &/,b*^EOv~qL‡U130i"f֎!+yW%J8u{Er.B?HsyY3v܌xfҎA'ioߌ,N"RܿgTΧ%!쵧{Pfah~uZS7|l]hU:H@]R;#]u׸˔|+ĭz? l"%͠EGŝoxendstream endobj 168 0 obj <> endobj 169 0 obj [ 823 ] endobj 170 0 obj <> endobj 171 0 obj <>stream %!PS-AdobeFont-1.0: Dingbats 001.005 %%CreationDate: Mon Mar 23 1998 % Copyright URW Software, Copyright 1997 by URW % URW Software, Copyright 1997 by URW % See the file PUBLIC (Aladdin Free Public License) for license conditions. 11 dict begin /FontInfo 10 dict dup begin /version (001.005) readonly def /Notice (URW Software, Copyright 1997 by URW) readonly def /Copyright (Copyright URW Software, Copyright 1997 by URW) readonly def /FullName (Dingbats ) readonly def /FamilyName (Dingbats) readonly def /Weight (Regular) readonly def /ItalicAngle 0.0 def /isFixedPitch false def /UnderlinePosition -72 def /UnderlineThickness 36 def end readonly def /FontName /TVGGGO+Dingbats def /PaintType 0 def /FontBBox {-1 -143 981 819} readonly def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 73 /a36 put readonly def currentdict end currentfile eexec oc;jtD[1ƅpTo9`.:ypJ*l'e}#)&7+/^ W{LZ60VQR^λ3r)#v$p~c&'ſ+ %;a~!ty`r|v0Q>(Ŧ^bW69u ߈PuJm'LD 8sss~W1aѠ l`l%|M"%v.%zjv]obE-JIVڧ=PFq]LDLh,)[6Fʹ<ѬA\TQї& j̽p*aj!(ua(10\5ߍ\ɛ%η{')BObw;Hѹ$pxxqm_GklnYNݨ\F9̂R1*H5m`a& Qx7l0[LA.&ଜT~[ <1-&8"ןDɡ^Zz "ѻ e9x3l3N_B^*CZm.0e5#kzU?xw;{M ']ocT'3jd qIU rx7qA9Mw{ŘPVӾ^ikt螣x_ɀZgr5ۻܞxUM#<*@3n)a:"JMȧp.Կendstream endobj 172 0 obj <> endobj 173 0 obj [ 394 394 504 504 504 504 474 474 262 262 325 533 626 626 545 545 675 675 545 545 612 612 612 612 618 618 429 429 1107 1107 693 693 621 621 674 674 674 674 690 690 554 554 1348 1348 866 866 799 799 729 729 729 729 729 729 792 792 792 792 792 792 792 575 799 799 799 799 346 346 984 1235 458 528 1110 1511 1110 1511 1110 1511 1045 940 458 940 940 940 940 940 1415 1269 528 ] endobj 174 0 obj <> endobj 175 0 obj <>stream %!PS-AdobeFont-1.1: MTEX 1.1 %%CreationDate: 1993 Jun 26 10:30:36 % Copyright (c) 1992, 1993 The TeXplorators Corporation % Hinting Copyright (c) 1992, 1993 Y&Y, Inc. % MathTime is a trademark of The TeXplorators Corporation 11 dict begin /FontInfo 9 dict dup begin /version (1.1) readonly def /Notice (Copyright (C) 1992, 1993 The TeXplorators Corporation. Hinting (c) 1992, 1993 Y&Y, Inc. (508) 371-3286. All Rights Reserved.) readonly def /FullName (MTEX) readonly def /FamilyName (MathTime) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /PMVDKS+MTEX def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 2 /bracketleftbig put dup 20 /bracketleftbigg put dup 52 /bracketleftbt put dup 54 /bracketleftex put dup 50 /bracketlefttp put dup 3 /bracketrightbig put dup 21 /bracketrightbigg put dup 53 /bracketrightbt put dup 55 /bracketrightex put dup 51 /bracketrighttp put dup 90 /integraldisplay put dup 82 /integraltext put readonly def /FontBBox{-23 -2958 1456 766}readonly def currentdict end currentfile eexec oc;j~EЪ+`U+1;[ihHlgtR@nk{#Y~gJ[. DI~ْ+%hapYz;3NO_O:Vп}KBhIϮԬ";eiwzVcW;I0a1]j"4[{ErGT1QeG0 Vw ߚOҎN'·4b>T(4^mѨnV8Bo8cpWTC 6j'-б^3;ZSi 4LTVC}:)EuF+o1F}NNZ*1aD1U(H`b^;1Mac]&'kM.Lؐ1Sh3\9)Wyϋzoԡ!OWr%\ tA7e:蔧R1-~w1Dj EWNTl%4 {yBvV E=&AcW_}in|{^X&UvKhwݘjNrEFNa:Q~nSZ =PG҈V̸Uy Iv`.;tԦŴzq@!̛iSI-nd84GoRU$}t-\At/{SmAu4,ؐ.\^Tc*2?'U^1q{* km:'~^Yc]+vP6C>iV5q+^h7S6L a_̳Z,( `+a7ȝkF\KF5XepٺF*Mv*\:ZM؍4x#yx(Zw(^9pr!("3oDBh} ])Z8 ;n*Ȇ9lA5D:Mi`TAy ͹`=inT@Ҹsaׂ$* V[RntuGTfİA.P$Xk,/y1tf~I1?pZ`m4Bsxrq3o [7d&Mc%ƣ2Kנau-G6yUìpCZpߙt&l~e48Or~?]K$5T(f* iX]w$2)djpGuhK~Ɇ[]HF2"Z\y NR/7p;6jɿb Rlz>wM.<3%Hg3[%۵mlA^]NLbX1'N'.ɶcW/t>f}BKOS>cET9k#Y5J1pzXӶeWmӬ[ڴp2ū0MOЃ~xjHUwaUc^[;U%䆊J}7ifaNzea=ABB-nN`rNؙX-@O/PՄKuI0 /oPRqoxT-i)n˷G(?wu+Г! U>їrnwiԯ9 HS`|{>m{FU9:FwC<] ʙ5I0S=\7yjЌAVv`) kxlFTE:ɾK\;OQendstream endobj 176 0 obj <> endobj 177 0 obj [ 790 ] endobj 178 0 obj <> endobj 179 0 obj <>stream %!PS-AdobeFont-1.0: t1-gul-symbol 001.000 %%Title: t1-gul-symbol %Version: 001.000 %%CreationDate: Mon May 12 14:48:11 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Created by CV Radhakrishnan,,, with FontForge 2.0 %Copyright: (http://fontforge.sf.net) % 2008-5-12: Created. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-gul-symbol known{/t1-gul-symbol findfont dup/UniqueID known{dup /UniqueID get 4083185 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 12 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /HWNAVD+t1-gul-symbol def /FontBBox {5 -213 895 789 }readonly def /UniqueID 4083185 def /XUID [1021 992 867865827 11599217] def /PaintType 0 def /FontInfo 9 dict dup begin /version (001.000) readonly def /Notice (Created by CV Radhakrishnan,,, with FontForge 2.0 \050http://fontforge.sf.net\051) readonly def /FullName (t1-gul-symbol) readonly def /FamilyName (t1) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 39 /copyright put readonly def currentdict end currentfile eexec oc;jAw-6n}H#vݟ~Lڎko:FVvixؕBv0_ dĮ&8`}-AʌOǦ\Q]&8~a0[V2v)}H6p4aDPf0?IGrq㋒nDJ,52 HEh M/Z1hR 3 |/AF>"T6`~yxd<^;CNJ idjITR⏢Ɂw'ƺVTqرޡc%C TQIC:/*nX̅M}1ba) /h6A!7\PG|~zh~8^8s!BMYI:ꓩua!7h*){7sw2zI۳V,DK-yp~ONi8&ǁHkZr!U-UlM2U6cN=h",Η`%-9 5DpHa>-YÜbh@@XfY|M#X žendstream endobj 180 0 obj <> endobj 181 0 obj [ 579 820 0 985 299 306 666 624 619 940 940 1000 456 428 685 525 623 695 234 370 369 420 549 234 411 235 352 579 579 579 579 579 579 579 579 579 579 352 352 549 549 549 538 784 660 604 602 717 564 509 704 746 310 312 648 499 934 737 716 564 716 618 526 558 716 664 1042 668 618 565 361 352 361 549 500 235 518 579 479 595 526 333 542 606 300 306 556 299 927 606 567 598 586 410 446 373 601 542 859 555 548 499 408 290 408 532 411 660 660 602 602 717 564 564 704 499 499 499 737 737 0 716 618 618 526 525 526 558 558 716 716 618 565 565 565 622 310 595 530 518 518 479 479 606 526 526 542 299 299 299 606 606 0 567 410 410 446 438 446 373 373 601 601 548 499 489 499 606 456 538 564 660 660 660 660 660 660 810 602 564 564 564 564 310 310 310 310 717 735 716 716 716 716 716 958 716 716 716 716 716 618 564 0 523 523 523 523 523 523 804 479 526 526 ] endobj 182 0 obj <> endobj 183 0 obj <>stream %!PS-AdobeFont-1.0: t1-gul-regular 001.001 %%Title: t1-gul-regular %Version: 001.001 %%CreationDate: Mon May 26 10:28:22 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Gulliver, Giant amongst Dwarfs. %Copyright: This typeface offers excellent readability at very small %Copyright: sizes. %Copyright: %Copyright: The digitally encoded machine readable outline data for %Copyright: producing the typefaces licensed to you is copyrighted (c), %Copyright: 1994, 2005 by and the property of Gerard Unger. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-gul-regular known{/t1-gul-regular findfont dup/UniqueID known{dup /UniqueID get 4179227 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 12 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /PLMZMU+t1-gul-regular def /FontBBox {-115 -321 1042 1054 }readonly def /UniqueID 4179227 def /XUID [1021 938 1479029120 7154960] def /PaintType 0 def /FontInfo 11 dict dup begin /version (001.001) readonly def /Notice (Gulliver, Giant amongst Dwarfs.\012This typeface offers excellent readability at very small sizes.\012\012The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted \050c\051, 1994, 2005 by and the property of Gerard Unger.) readonly def % Gulliver, Giant amongst Dwarfs. % This typeface offers excellent readability at very small sizes. % % The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted (c), 1994, 2005 by and the property of Gerard Unger. /FullName (Gulliver) readonly def /FamilyName (Gulliver) readonly def /Weight (Regular) readonly def /FSType 4 def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -75 def /UnderlineThickness 50 def /ascent 789 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 88 /X put dup 89 /Y put dup 90 /Z put dup 97 /a put dup 38 /ampersand put dup 64 /at put dup 98 /b put 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123.139 694.408 Td [(2009)]TJ ET 1 0 0 1 142.336 694.408 cm 0 g 0 G 1 0 0 1 -142.336 -694.408 cm BT /F22 8.2889 Tf 142.336 694.408 Td [(\051)-517(does)-517(not)-517(contain)-517(any)-517(triple-integral)]TJ ET 1 0 0 1 42.52 694.408 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -694.408 cm BT /F22 8.2889 Tf 42.52 683.839 Td [(terms.)-390(Adding)-389(some)-389(triple-integral)-390(terms)-389(in)-389(the)-389(Lyapunov)-390(func-)]TJ ET 1 0 0 1 42.52 683.839 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -683.839 cm BT /F22 8.2889 Tf 42.52 673.269 Td [(tional)-605(may)-606(be)-605(helpful)-606(for)-605(the)-605(reduction)-606(of)-605(the)-606(conservatism)]TJ ET 1 0 0 1 42.52 673.269 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -673.269 cm BT /F22 8.2889 Tf 42.52 662.7 Td [(such)-369(as)-369(reported)-368(in)]TJ ET 1 0 0 1 121.116 662.7 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -121.116 -662.7 cm BT /F22 8.2889 Tf 121.116 662.7 Td [(Ariba)]TJ ET 1 0 0 1 141.564 662.7 cm 0 g 0 G 1 0 0 1 3.057 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -144.621 -662.7 cm BT /F22 8.2889 Tf 144.621 662.7 Td [(and)]TJ ET 1 0 0 1 158.87 662.7 cm 0 g 0 G 1 0 0 1 3.057 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -161.927 -662.7 cm BT /F22 8.2889 Tf 161.927 662.7 Td [(Gouaisbaut)]TJ ET 1 0 0 1 205.087 662.7 cm 0 g 0 G 1 0 0 1 3.056 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -208.143 -662.7 cm BT /F22 8.2889 Tf 208.143 662.7 Td [(\050)]TJ ET 1 0 0 1 211.21 662.7 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -211.21 -662.7 cm BT /F22 8.2889 Tf 211.21 662.7 Td [(2007)]TJ ET 1 0 0 1 230.407 662.7 cm 0 g 0 G 1 0 0 1 -230.407 -662.7 cm BT /F22 8.2889 Tf 230.407 662.7 Td [(\051.)-370(In)-368(addition,)-369(in)]TJ ET 1 0 0 1 42.52 662.7 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -662.7 cm BT /F22 8.2889 Tf 42.52 652.13 Td [(our)-451(recent)-452(work)-903(\050)]TJ ET 1 0 0 1 117.668 652.13 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -117.668 -652.13 cm BT /F22 8.2889 Tf 117.668 652.13 Td [(Sun,)]TJ ET 1 0 0 1 133.972 652.13 cm 0 g 0 G 1 0 0 1 3.744 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -137.716 -652.13 cm BT /F22 8.2889 Tf 137.716 652.13 Td [(Liu,)]TJ ET 1 0 0 1 151.26 652.13 cm 0 g 0 G 1 0 0 1 3.745 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -155.005 -652.13 cm BT /F22 8.2889 Tf 155.005 652.13 Td [(&)]TJ ET 1 0 0 1 160.765 652.13 cm 0 g 0 G 1 0 0 1 3.743 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -164.508 -652.13 cm BT /F22 8.2889 Tf 164.508 652.13 Td [(Chen,)]TJ ET 1 0 0 1 185.844 652.13 cm 0 g 0 G 1 0 0 1 3.744 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -189.588 -652.13 cm BT /F22 8.2889 Tf 189.588 652.13 Td [(2009)]TJ ET 1 0 0 1 208.785 652.13 cm 0 g 0 G 1 0 0 1 -208.785 -652.13 cm BT /F22 8.2889 Tf 208.785 652.13 Td [(\051,)-452(a)-451(novel)-452(augmented)]TJ ET 1 0 0 1 42.52 652.13 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -652.13 cm BT /F22 8.2889 Tf 42.52 641.561 Td [(Lyapunov)-454(functional)-454(containing)-454(a)-454(triple-integral)-454(term)-454(has)-455(been)]TJ ET 1 0 0 1 42.52 641.561 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -641.561 cm BT /F22 8.2889 Tf 42.52 630.991 Td [(used)-382(to)-382(derive)-383(a)-382(less)-382(conservative)-382(stability)-382(condition)-382(for)-383(neutral)]TJ ET 1 0 0 1 42.52 630.991 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -630.991 cm BT /F22 8.2889 Tf 42.52 620.421 Td [(time-delay)-353(systems.)-353(However,)]TJ ET 1 0 0 1 162.2 620.421 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -162.2 -620.421 cm BT /F22 8.2889 Tf 162.2 620.421 Td [(Sun)]TJ ET 1 0 0 1 176.565 620.421 cm 0 g 0 G 1 0 0 1 2.924 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -179.489 -620.421 cm BT /F22 8.2889 Tf 179.489 620.421 Td [(et)-353(al.)]TJ ET 1 0 0 1 198.584 620.421 cm 0 g 0 G 1 0 0 1 2.929 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -201.513 -620.421 cm BT /F22 8.2889 Tf 201.513 620.421 Td [(\050)]TJ ET 1 0 0 1 204.58 620.421 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -204.58 -620.421 cm BT /F22 8.2889 Tf 204.58 620.421 Td [(2009)]TJ ET 1 0 0 1 223.776 620.421 cm 0 g 0 G 1 0 0 1 -223.776 -620.421 cm BT /F22 8.2889 Tf 223.776 620.421 Td [(\051)-353(has)-352(only)-353(consid-)]TJ ET 1 0 0 1 42.52 620.421 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -620.421 cm BT /F22 8.2889 Tf 42.52 609.852 Td [(ered)-299(the)-299(constant)-300(delay)-299(case.)-299(Therefore,)-300(in)-299(this)-299(paper)-299(the)-300(method)]TJ ET 1 0 0 1 42.52 609.852 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -609.852 cm BT /F22 8.2889 Tf 42.52 599.282 Td [(reported)-328(in)]TJ ET 1 0 0 1 88.667 599.282 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -88.667 -599.282 cm BT /F22 8.2889 Tf 88.667 599.282 Td [(Sun)]TJ ET 1 0 0 1 103.032 599.282 cm 0 g 0 G 1 0 0 1 2.72 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -105.752 -599.282 cm BT /F22 8.2889 Tf 105.752 599.282 Td [(et)-328(al.)]TJ ET 1 0 0 1 124.644 599.282 cm 0 g 0 G 1 0 0 1 2.724 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -127.368 -599.282 cm BT /F22 8.2889 Tf 127.368 599.282 Td [(\050)]TJ ET 1 0 0 1 130.435 599.282 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -130.435 -599.282 cm BT /F22 8.2889 Tf 130.435 599.282 Td [(2009)]TJ ET 1 0 0 1 149.632 599.282 cm 0 g 0 G 1 0 0 1 -149.632 -599.282 cm BT /F22 8.2889 Tf 149.632 599.282 Td [(\051)-328(is)-328(extended)-329(to)-328(the)-328(time-varying)-328(de-)]TJ ET 1 0 0 1 42.52 599.282 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -599.282 cm BT /F22 8.2889 Tf 42.52 588.713 Td [(lay)-329(case.)-329(In)-329(this)-329(paper,)-329(a)-328(new)-329(type)-329(of)-329(augmented)-329(Lyapunov)-329(func-)]TJ ET 1 0 0 1 42.52 588.713 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -588.713 cm BT /F22 8.2889 Tf 42.52 578.143 Td [(tional)-190(which)-190(contains)-189(some)-190(triple-integral)-190(terms)-190(is)-189(introduced.)-191(The)]TJ ET 1 0 0 1 42.52 578.143 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -578.143 cm BT /F22 8.2889 Tf 42.52 567.574 Td [(information)-350(on)-350(the)-350(lower)-349(bound)-350(of)-350(the)-350(delay)-350(is)-350(fully)-350(used)-350(in)-350(the)]TJ ET 1 0 0 1 42.52 567.574 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -567.574 cm BT /F22 8.2889 Tf 42.52 557.004 Td [(Lyapunov)-327(functional.)-327(Some)-327(less)-327(conservative)-327(stability)-327(criteria)-327(are)]TJ ET 1 0 0 1 42.52 557.004 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -557.004 cm BT /F22 8.2889 Tf 42.52 546.435 Td [(derived)-280(without)-279(introducing)-280(any)-279(free-weighting)-280(matrices.)-280(Finally,)]TJ ET 1 0 0 1 42.52 546.435 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -546.435 cm BT /F22 8.2889 Tf 42.52 535.865 Td [(numerical)-260(examples)-261(are)-260(given)-261(to)-260(demonstrate)-261(the)-260(effectiveness)-261(of)]TJ ET 1 0 0 1 42.52 535.865 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -535.865 cm BT /F22 8.2889 Tf 42.52 525.296 Td [(the)-250(proposed)-250(method.)]TJ ET 1 0 0 1 42.52 525.296 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -525.296 cm BT /F153 8.2889 Tf 42.52 500.605 Td [(2.)-500(Problem)-250(formulation)-250(and)-250(main)-250(results)]TJ ET 1 0 0 1 42.52 500.605 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -500.605 cm BT /F22 8.2889 Tf 54.475 478.704 Td [(Consider)-250(the)-250(following)-250(linear)-250(system)-250(with)-250(time-varying)-250(delay:)]TJ ET 1 0 0 1 42.52 478.704 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -478.704 cm BT /F179 9.5641 Tf 42.962 460.587 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 6.224 0 Td [(D)]TJ/F40 8.2889 Tf 10.117 0 Td [(Ax)]TJ/F183 9.5641 Tf 9.101 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.693 0 Td [(C)]TJ/F40 8.2889 Tf 9.585 0 Td [(A)]TJ/F22 5.8022 Tf 5.032 -1.434 Td [(1)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 5.769 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)-120(.)]TJ/F40 8.2889 Tf 8.856 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//;)]TJ/F40 8.2889 Tf 20.184 0 Td [(t)]TJ/F183 9.5641 Tf 6.299 0 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F40 8.2889 Tf -140.189 -13.449 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 6.224 0 Td [(D)]TJ/F183 9.5641 Tf 10.117 0 Td [(\036)-50(.)]TJ/F40 8.2889 Tf 9.564 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/;)]TJ/F40 8.2889 Tf 16.616 0 Td [(t)]TJ/F179 9.5641 Tf 6.299 0 Td [(2)]TJ/F22 8.2889 Tf 8.673 0.084 Td [([)]TJ/F179 9.5641 Tf 2.992 -0.084 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(;)]TJ/F22 8.2889 Tf 6.832 0 Td [(0)]TJ 4.799 0.084 Td [(])]TJ 137.636 6.342 Td [(\0501\051)]TJ ET 1 0 0 1 42.52 453.39 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -453.39 cm BT /F22 8.2889 Tf 42.52 429.924 Td [(where)]TJ/F40 8.2889 Tf 26.445 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 6.51 0 Td [(2)]TJ/F185 8.9265 Tf 8.958 0 Td [(R)]TJ/F40 5.8022 Tf 8.034 3.472 Td [(n)]TJ/F22 8.2889 Tf 6.036 -3.472 Td [(is)-263(the)-264(state)-263(vector;)-264(The)-263(initial)-264(condition)]TJ/F183 9.5641 Tf 152.176 0 Td [(\036)-50(.)]TJ/F40 8.2889 Tf 9.564 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 5.751 0 Td [(is)-263(a)]TJ ET 1 0 0 1 42.52 429.924 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -429.924 cm BT /F22 8.2889 Tf 42.52 419.355 Td [(continuously)-255(differentiable)-255(vector-valued)-255(function;)]TJ/F40 8.2889 Tf 197.632 0 Td [(A)]TJ/F179 9.5641 Tf 7.796 0 Td [(2)]TJ/F185 8.9265 Tf 8.78 0 Td [(R)]TJ/F40 5.8022 Tf 8.033 3.472 Td [(n)]TJ/F179 6.6948 Tf 3.354 0 Td [(\002)]TJ/F40 5.8022 Tf 5.249 0 Td [(n)]TJ/F22 8.2889 Tf 5.966 -3.472 Td [(and)]TJ ET 1 0 0 1 42.52 419.355 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -419.355 cm BT /F40 8.2889 Tf 42.52 408.785 Td [(A)]TJ/F22 5.8022 Tf 5.031 -1.434 Td [(1)]TJ/F179 9.5641 Tf 8.381 1.434 Td [(2)]TJ/F185 8.9265 Tf 10.54 0 Td [(R)]TJ/F40 5.8022 Tf 8.034 3.472 Td [(n)]TJ/F179 6.6948 Tf 3.353 0 Td [(\002)]TJ/F40 5.8022 Tf 5.249 0 Td [(n)]TJ/F22 8.2889 Tf 6.652 -3.472 Td [(are)-338(constant)-338(system)-338(matr)1(ices;)]TJ/F183 9.5641 Tf 119.115 0 Td [(\034)-120(.)]TJ/F40 8.2889 Tf 8.857 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 6.367 0 Td [(is)-338(a)-338(time-varying)]TJ ET 1 0 0 1 42.52 408.785 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -408.785 cm BT /F22 8.2889 Tf 42.52 398.216 Td [(differentiable)-250(function)-250(and)-250(satisfies)]TJ ET 1 0 0 1 42.52 398.216 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -398.216 cm BT /F22 8.2889 Tf 42.52 381.414 Td [(0)]TJ/F183 9.5641 Tf 7.456 0 Td [(<)-278(\034)]TJ/F22 5.8022 Tf 14.258 -1.434 Td [(1)]TJ/F166 7.9701 Tf 6.514 1.434 Td [(6)]TJ/F183 9.5641 Tf 8.855 0 Td [(\034)-120(.)]TJ/F40 8.2889 Tf 8.857 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F166 7.9701 Tf 6.224 0 Td [(6)]TJ/F183 9.5641 Tf 8.855 0 Td [(\034)]TJ/F22 5.8022 Tf 4.142 -1.434 Td [(2)]TJ/F22 8.2889 Tf 171.33 1.434 Td [(\0502\051)]TJ ET 1 0 0 1 42.52 381.414 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -381.414 cm BT /F179 9.5641 Tf 43.572 367.856 Td [(P)]TJ/F183 9.5641 Tf -1.052 0 Td [(\034)-120(.)]TJ/F40 8.2889 Tf 8.856 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F166 7.9701 Tf 6.224 0 Td [(6)]TJ/F183 9.5641 Tf 8.856 0 Td [(\026)]TJ/F22 8.2889 Tf 212.555 0 Td [(\0503\051)]TJ ET 1 0 0 1 42.52 367.856 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -367.856 cm BT /F22 8.2889 Tf 42.52 351.055 Td [(where)-250(0)]TJ/F183 9.5641 Tf 33.789 0 Td [(<)-278(\034)]TJ/F22 5.8022 Tf 14.258 -1.435 Td [(1)]TJ/F183 9.5641 Tf 6.514 1.435 Td [(<)-278(\034)]TJ/F22 5.8022 Tf 14.258 -1.435 Td [(2)]TJ/F22 8.2889 Tf 3.858 1.435 Td [(,)-250(and)-250(0)]TJ/F166 7.9701 Tf 27.788 0 Td [(6)]TJ/F183 9.5641 Tf 8.856 0 Td [(\026)]TJ/F22 8.2889 Tf 8.633 0 Td [(are)-250(constants.)]TJ ET 1 0 0 1 42.52 351.055 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -351.055 cm BT /F22 8.2889 Tf 54.475 340.268 Td [(Let)]TJ/F183 9.5641 Tf 14.035 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(12)]TJ/F179 9.5641 Tf 10.834 1.435 Td [(D)]TJ/F183 9.5641 Tf 11.078 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(2)]TJ/F179 9.5641 Tf 6.367 1.435 Td [(\000)]TJ/F183 9.5641 Tf 9.97 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(1)]TJ/F22 8.2889 Tf 6.304 1.435 Td [(and)]TJ/F183 9.5641 Tf 16.696 0 Td [(\034)]TJ/F40 5.8022 Tf 4.141 -1.435 Td [(s)]TJ/F179 9.5641 Tf 6.483 1.435 Td [(D)]TJ/F22 5.8022 Tf 12.273 3.864 Td [(1)]TJ ET q 1 0 0 1 165.079 342.659 cm []0 d 0 J 0.44 w 0 0 m 3.359 0 l S Q BT /F22 5.8022 Tf 165.079 336.873 Td [(2)]TJ/F183 9.5641 Tf 4.555 3.395 Td [(.\034)]TJ/F22 5.8022 Tf 8.856 3.519 Td [(2)]TJ -1.147 -6.212 Td [(2)]TJ/F179 9.5641 Tf 7.514 2.693 Td [(\000)]TJ/F183 9.5641 Tf 9.97 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.519 Td [(2)]TJ -1.148 -6.212 Td [(1)]TJ/F183 9.5641 Tf 5.006 2.693 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(.)-295(The)-296(following)-295(lemma)]TJ ET 1 0 0 1 42.52 340.268 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -340.268 cm BT /F22 8.2889 Tf 42.52 329.698 Td [(is)-265(introduced)-266(which)-265(has)-266(an)-265(important)-265(role)-266(in)-265(the)-266(derivation)-265(of)-266(the)]TJ ET 1 0 0 1 42.52 329.698 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -329.698 cm BT /F22 8.2889 Tf 42.52 319.129 Td [(main)-250(results.)]TJ ET 1 0 0 1 42.52 319.129 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -20.166 cm 0 g 0 G 1 0 0 1 -38.535 -298.963 cm BT /F153 8.2889 Tf 42.52 298.963 Td [(Lemma)-250(1)]TJ ET 1 0 0 1 79.107 298.963 cm 0 g 0 G 1 0 0 1 -79.107 -298.963 cm BT /F22 8.2889 Tf 83.092 298.963 Td [(\050)]TJ ET 1 0 0 1 86.159 298.963 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -86.159 -298.963 cm BT /F40 8.2889 Tf 86.159 298.963 Td [(Gu)]TJ ET 1 0 0 1 96.404 298.963 cm 0 g 0 G 1 0 0 1 -96.404 -298.963 cm BT /F40 8.2889 Tf 96.404 298.963 Td [(,)]TJ ET 1 0 0 1 98.285 298.963 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 2.309 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -100.594 -298.963 cm BT /F40 8.2889 Tf 100.594 298.963 Td [(2000)]TJ ET 1 0 0 1 118.929 298.963 cm 0 g 0 G 1 0 0 1 -118.929 -298.963 cm BT /F40 8.2889 Tf 118.929 298.963 Td [(;)]TJ ET 1 0 0 1 123.857 298.963 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -123.857 -298.963 cm BT /F40 8.2889 Tf 123.857 298.963 Td [(Sun)]TJ ET 1 0 0 1 137.5 298.963 cm 0 g 0 G 1 0 0 1 2.308 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -139.808 -298.963 cm BT /F40 8.2889 Tf 139.808 298.963 Td [(et)-279(al.)]TJ ET 1 0 0 1 157.617 298.963 cm 0 g 0 G 1 0 0 1 -157.617 -298.963 cm BT /F40 8.2889 Tf 157.617 298.963 Td [(,)]TJ ET 1 0 0 1 159.498 298.963 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 2.309 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -161.807 -298.963 cm BT /F40 8.2889 Tf 161.807 298.963 Td [(2009)]TJ ET 1 0 0 1 180.142 298.963 cm 0 g 0 G 1 0 0 1 -180.142 -298.963 cm BT /F22 8.2889 Tf 180.142 298.963 Td [(\051.)]TJ/F40 8.2889 Tf 7.314 0 Td [(For)-279(any)-278(constant)-278(matrix)-279(Z)]TJ/F179 9.5641 Tf 98.662 0 Td [(D)]TJ ET 1 0 0 1 42.52 298.963 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -298.963 cm BT /F40 8.2889 Tf 42.52 288.393 Td [(Z)]TJ/F22 5.8022 Tf 5.234 3.472 Td [(T)]TJ/F183 9.5641 Tf 6.596 -3.472 Td [(>)]TJ/F22 8.2889 Tf 10.319 0 Td [(0)]TJ/F40 8.2889 Tf 6.951 0 Td [(and)-260(scalars)]TJ/F183 9.5641 Tf 43.012 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(2)]TJ/F183 9.5641 Tf 6.717 1.434 Td [(>)-299(\034)]TJ/F22 5.8022 Tf 14.461 -1.434 Td [(1)]TJ/F183 9.5641 Tf 6.718 1.434 Td [(>)]TJ/F22 8.2889 Tf 10.319 0 Td [(0)]TJ/F40 8.2889 Tf 6.951 0 Td [(such)-260(that)-259(the)-260(following)-259(integrations)]TJ ET 1 0 0 1 42.52 288.393 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -288.393 cm BT /F40 8.2889 Tf 42.52 277.824 Td [(are)-250(well)-250(defined,)-250(then)]TJ ET 1 0 0 1 42.52 277.824 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -16.421 cm 0 g 0 G 1 0 0 1 -42.52 -261.403 cm BT /F22 8.2889 Tf 42.52 261.403 Td [(\0501\051)]TJ ET 1 0 0 1 53.444 261.403 cm 0 g 0 G 1 0 0 1 -10.924 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -261.403 cm BT /F179 9.5641 Tf 57.429 238.913 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\034)]TJ/F22 5.8022 Tf 4.142 -1.435 Td [(12)]TJ/F181 9.5641 Tf 8.811 14.452 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(2)]TJ/F40 8.2889 Tf 9.851 9.922 Td [(x)]TJ/F22 5.8022 Tf 4.069 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Zx)]TJ/F183 9.5641 Tf 8.446 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F166 7.9701 Tf 6.038 0 Td [(6)]TJ/F179 9.5641 Tf 8.856 0 Td [(\000)]TJ/F181 9.5641 Tf 9.054 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F40 8.2889 Tf 9.85 9.922 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(sZ)]TJ/F181 9.5641 Tf 10.21 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F40 8.2889 Tf 9.85 9.922 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F179 9.5641 Tf 3.382 0 Td [(I)]TJ ET 1 0 0 1 42.52 238.913 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -23.131 cm 0 g 0 G 1 0 0 1 -42.52 -215.782 cm BT /F22 8.2889 Tf 42.52 215.782 Td [(\0502\051)]TJ ET 1 0 0 1 53.444 215.782 cm 0 g 0 G 1 0 0 1 -10.924 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -215.782 cm BT /F179 9.5641 Tf 57.429 193.292 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\034)]TJ/F40 5.8022 Tf 4.142 -1.435 Td [(s)]TJ/F181 9.5641 Tf 4.459 14.452 Td [(Z)]TJ/F179 6.6948 Tf 9.43 -2.585 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F179 6.6948 Tf -12.501 -17.649 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F181 9.5641 Tf 9.85 22.94 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.585 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F40 8.2889 Tf 5.707 8.57 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Zx)]TJ/F183 9.5641 Tf 8.447 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 42.52 193.292 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -193.292 cm BT /F166 7.9701 Tf 65.718 165.055 Td [(6)]TJ/F179 9.5641 Tf 8.856 0 Td [(\000)]TJ/F181 9.5641 Tf 9.054 13.017 Td [(Z)]TJ/F179 6.6948 Tf 9.43 -2.584 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F179 6.6948 Tf -12.501 -17.649 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F181 9.5641 Tf 9.85 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F40 8.2889 Tf 5.707 8.569 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ/F40 8.2889 Tf 5.164 0 Td [(Z)]TJ/F181 9.5641 Tf 6.829 13.017 Td [(Z)]TJ/F179 6.6948 Tf 9.43 -2.584 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F179 6.6948 Tf -12.501 -17.649 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(2)]TJ/F181 9.5641 Tf 9.851 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F40 8.2889 Tf 5.707 8.569 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)-100(:)]TJ ET 1 0 0 1 42.52 165.055 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -165.055 cm BT /F22 8.2889 Tf 54.475 135.511 Td [(Before)-282(presenting)]TJ ET 1 0 0 1 124.626 135.511 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -124.626 -135.511 cm BT /F22 8.2889 Tf 124.626 135.511 Td [(Theorem)-282(2)]TJ ET 1 0 0 1 165.914 135.511 cm 0 g 0 G 1 0 0 1 -165.914 -135.511 cm BT /F22 8.2889 Tf 165.914 135.511 Td [(,)-282(which)-282(gives)-283(a)-282(sufficient)-282(stability)]TJ ET 1 0 0 1 42.52 135.511 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -135.511 cm BT /F22 8.2889 Tf 42.52 124.942 Td [(condition)-323(for)-323(system)]TJ ET 1 0 0 1 124.896 124.942 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -124.896 -124.942 cm BT /F22 8.2889 Tf 124.896 124.942 Td [(\0501\051)]TJ ET 1 0 0 1 135.821 124.942 cm 0 g 0 G 1 0 0 1 -135.821 -124.942 cm BT /F22 8.2889 Tf 135.821 124.942 Td [(,)-323(we)-323(define)]TJ/F183 9.5641 Tf 45.375 0 Td [(\030)-110(.)]TJ/F40 8.2889 Tf 8.694 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 7.777 0 Td [(D)]TJ/F40 8.2889 Tf 11.67 0 Td [(col)]TJ/F179 9.5641 Tf 10.419 0 Td [(f)]TJ/F40 8.2889 Tf 3.539 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/;)]TJ/F40 8.2889 Tf 8.327 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 6.39 0 Td [(\000)]TJ/F183 9.5641 Tf 10.206 0 Td [(\034)-120(.)]TJ/F40 8.2889 Tf 8.857 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//;)]TJ ET 1 0 0 1 42.52 124.942 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -124.942 cm BT /F40 8.2889 Tf 42.52 113.112 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 8.482 0 Td [(\000)]TJ/F183 9.5641 Tf 12.3 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(1)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/;)]TJ/F40 8.2889 Tf 8.327 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 8.483 0 Td [(\000)]TJ/F183 9.5641 Tf 12.299 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/;)]TJ/F179 9.5641 Tf 8.769 0.174 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 8.483 0 Td [(\000)]TJ/F183 9.5641 Tf 12.299 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(1)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/;)]TJ/F179 9.5641 Tf 8.77 0.174 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 8.483 0 Td [(\000)]TJ/F183 9.5641 Tf 12.299 0 Td [(\034)]TJ/F22 5.8022 Tf 4.142 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(/;)]TJ/F181 9.5641 Tf 8.327 7.704 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.584 Td [(t)]TJ -1.855 -8.376 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(1)]TJ/F40 8.2889 Tf 5.47 4.609 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(;)]TJ/F181 9.5641 Tf 4.76 7.704 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -12.526 -7.023 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ ET 1 0 0 1 42.52 113.112 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -113.112 cm BT /F40 8.2889 Tf 42.52 97.788 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(;)]TJ/F181 9.5641 Tf 4.76 7.703 Td [(R)]TJ/F40 5.8022 Tf 6.235 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.2 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F40 5.8022 Tf -18.377 -8.376 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F40 8.2889 Tf 12.295 4.61 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ/F179 9.5641 Tf 3.382 0 Td [(g)]TJ/F22 8.2889 Tf 3.539 0 Td [(,)-267(and)]TJ/F40 8.2889 Tf 20.622 0 Td [(e)]TJ/F40 5.8022 Tf 3.979 -1.435 Td [(i)]TJ/F22 8.2889 Tf 4.375 1.435 Td [(\050)]TJ/F40 8.2889 Tf 3.067 0 Td [(i)]TJ/F179 9.5641 Tf 5.398 0 Td [(D)]TJ/F22 8.2889 Tf 10.488 0 Td [(1)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(2)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)-167(:)-166(:)-167(:)-167(;)]TJ/F22 8.2889 Tf 22.191 0 Td [(9\051)-268(are)-267(block)-267(entry)-268(ma-)]TJ ET 1 0 0 1 42.52 97.788 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -97.788 cm BT /F22 8.2889 Tf 42.52 84.209 Td [(trices.)-250(For)-250(example,)]TJ/F40 8.2889 Tf 76.158 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.52 Td [(T)]TJ 0 -6.213 Td [(2)]TJ/F179 9.5641 Tf 6.514 2.693 Td [(D)]TJ/F22 8.2889 Tf 10.117 0.085 Td [([)]TJ 2.992 -0.085 Td [(0)]TJ/F40 8.2889 Tf 8.944 0 Td [(I)]TJ/F22 8.2889 Tf 7.315 0 Td [(0)-500(0)-500(0)-500(0)-500(0)-500(0)-500(0)]TJ 58.461 0.085 Td [(])]TJ 2.992 -0.085 Td [(.)]TJ ET 1 0 0 1 42.52 84.209 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -22.709 cm 0 g 0 G 1 0 0 1 -38.535 -61.5 cm BT /F153 8.2889 Tf 42.52 61.5 Td [(Theorem)-250(2.)]TJ ET 1 0 0 1 87.52 61.5 cm 0 g 0 G 1 0 0 1 -87.52 -61.5 cm BT /F40 8.2889 Tf 91.505 61.5 Td [(Given)-262(scalars)]TJ/F22 8.2889 Tf 50.115 0 Td [(0)]TJ/F183 9.5641 Tf 7.712 0 Td [(<)-304(\034)]TJ/F22 5.8022 Tf 14.513 -1.435 Td [(1)]TJ/F183 9.5641 Tf 6.77 1.435 Td [(<)-305(\034)]TJ/F22 5.8022 Tf 14.514 -1.435 Td [(2)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(,)-262(and)]TJ/F22 8.2889 Tf 20.043 0 Td [(0)]TJ/F166 7.9701 Tf 7.711 0 Td [(6)]TJ/F183 9.5641 Tf 9.112 0 Td [(\026)]TJ/F40 8.2889 Tf 6.561 0 Td [(,)-262(system)]TJ ET 1 0 0 1 263.821 61.5 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -263.821 -61.5 cm BT /F22 8.2889 Tf 263.821 61.5 Td [(\0501\051)]TJ ET 1 0 0 1 274.746 61.5 cm 0 g 0 G 1 0 0 1 -274.746 -61.5 cm BT /F40 8.2889 Tf 276.918 61.5 Td [(with)]TJ ET 1 0 0 1 42.52 61.5 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -61.5 cm BT /F40 8.2889 Tf 42.52 50.93 Td [(a)-272(time-varying)-273(delay)-272(satisfying)]TJ ET 1 0 0 1 158.66 50.93 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -158.66 -50.93 cm BT /F22 8.2889 Tf 158.66 50.93 Td [(\0502\051)]TJ ET 1 0 0 1 169.584 50.93 cm 0 g 0 G 1 0 0 1 -169.584 -50.93 cm BT /F40 8.2889 Tf 171.843 50.93 Td [(and)]TJ ET 1 0 0 1 187.92 50.93 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -187.92 -50.93 cm BT /F22 8.2889 Tf 187.92 50.93 Td [(\0503\051)]TJ ET 1 0 0 1 198.844 50.93 cm 0 g 0 G 1 0 0 1 -198.844 -50.93 cm BT /F40 8.2889 Tf 201.103 50.93 Td [(is)-273(asymptotically)-272(stable)-273(if)]TJ ET 1 0 0 1 42.52 50.93 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -50.93 cm BT /F40 8.2889 Tf 42.52 40.361 Td [(there)-265(exist)-265(matrices)-265(P)]TJ/F179 9.5641 Tf 81.66 0 Td [(D)]TJ/F181 9.5641 Tf 10.434 7.689 Td [(\002)]TJ/F40 8.2889 Tf 3.768 -7.689 Td [(P)]TJ/F40 5.8022 Tf 4.468 -1.435 Td [(ij)]TJ/F181 9.5641 Tf 3.834 9.124 Td [(\003)]TJ/F22 5.8022 Tf 3.768 -11.371 Td [(5)]TJ/F179 6.6948 Tf 3.36 0 Td [(\002)]TJ/F22 5.8022 Tf 5.248 0 Td [(5)]TJ/F183 9.5641 Tf 6.831 3.682 Td [(>)]TJ/F22 8.2889 Tf 10.434 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-265(Q)]TJ/F40 5.8022 Tf 9.73 -1.435 Td [(i)]TJ/F183 9.5641 Tf 5.131 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.433 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-265(i)]TJ/F179 9.5641 Tf 9.422 0 Td [(D)]TJ/F22 8.2889 Tf 10.433 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)-167(:)-166(:)-167(:)-167(;)]TJ/F22 8.2889 Tf 22.192 0 Td [(5)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-265(Z)]TJ/F40 5.8022 Tf 8.454 -1.435 Td [(j)]TJ/F183 9.5641 Tf 5.148 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.433 0 Td [(0)]TJ/F40 8.2889 Tf 4.8 0 Td [(,)]TJ ET 1 0 0 1 42.52 40.361 cm 0 g 0 G 0 g 0 G 1 0 0 1 260.025 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 -302.545 -40.361 cm BT /F40 8.2889 Tf 311.511 720.809 Td [(j)]TJ/F179 9.5641 Tf 5.149 0 Td [(D)]TJ/F22 8.2889 Tf 10.213 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)-167(:)-166(:)-167(:)-167(;)]TJ/F22 8.2889 Tf 22.192 0 Td [(4)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-255(R)]TJ/F22 5.8022 Tf 8.857 -1.435 Td [(1)]TJ/F183 9.5641 Tf 6.611 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.213 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-255(R)]TJ/F22 5.8022 Tf 8.857 -1.435 Td [(2)]TJ/F183 9.5641 Tf 6.611 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.213 0 Td [(0)]TJ/F40 8.2889 Tf 6.909 0 Td [(with)-254(appropriate)-255(dimensions)-255(such)-254(that)]TJ ET 1 0 0 1 311.511 720.809 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -720.809 cm BT /F40 8.2889 Tf 311.511 710.005 Td [(the)-250(following)-250(LMIs)-250(hold:)]TJ ET 1 0 0 1 311.511 710.005 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -710.005 cm BT /F183 9.2055 Tf 311.511 689.51 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(1)]TJ/F179 9.5641 Tf 8.839 1.435 Td [(D)]TJ/F183 9.2055 Tf 12.441 0 Td [(\000)]TJ/F40 8.2889 Tf 7.567 0 Td [(P)]TJ/F183 9.2055 Tf 5.243 0 Td [(\007)]TJ/F22 5.8022 Tf 7.742 3.95 Td [(T)]TJ/F179 9.5641 Tf 5.861 -3.95 Td [(C)]TJ/F183 9.2055 Tf 9.585 0 Td [(\007)]TJ/F40 8.2889 Tf 7.742 0 Td [(P)]TJ/F183 9.2055 Tf 5.242 0 Td [(\000)]TJ/F22 5.8022 Tf 7.567 3.95 Td [(T)]TJ/F179 9.5641 Tf 5.861 -3.95 Td [(C)]TJ/F183 9.2055 Tf 9.586 0 Td [(\003)]TJ/F179 9.5641 Tf 9.453 0 Td [(C)]TJ/F40 8.2889 Tf 9.585 0 Td [(A)]TJ/F22 5.8022 Tf 5.031 3.95 Td [(T)]TJ/F40 5.8022 Tf 0 -6.523 Td [(c)]TJ/F40 8.2889 Tf 3.736 2.573 Td [(YA)]TJ/F40 5.8022 Tf 9.748 -1.435 Td [(c)]TJ/F179 9.5641 Tf 5.643 1.435 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.982 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(3)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.982 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)]TJ/F179 9.5641 Tf -198.48 -12.538 Td [(\000)]TJ/F22 8.2889 Tf 9.054 0 Td [(2)]TJ/F183 9.5641 Tf 4.799 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(2)]TJ/F179 9.5641 Tf 5.982 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(4)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F179 9.5641 Tf 5.982 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(4)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)]TJ/F179 9.5641 Tf 5.693 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F183 9.5641 Tf 3.857 2.573 Td [(/)]TJ/F179 9.5641 Tf -176.536 -12.538 Td [(\000)]TJ/F40 8.2889 Tf 9.054 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(8)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(8)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F22 8.2889 Tf 9.585 0 Td [(2)]TJ/F40 8.2889 Tf 4.8 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(9)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(9)]TJ/F179 9.5641 Tf 5.982 2.572 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.434 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(7)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 -1.434 Td [(1)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.434 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(1)]TJ/F179 9.5641 Tf 5.982 2.572 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.522 Td [(7)]TJ/F183 9.5641 Tf 3.858 2.572 Td [(/)]TJ/F179 9.5641 Tf -175.277 -12.537 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.434 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.982 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(8)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(9)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.434 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(8)]TJ/F179 9.5641 Tf 5.982 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(9)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.341 0 Td [(0)-5504(\0504\051)]TJ ET 1 0 0 1 311.511 651.898 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -651.898 cm BT /F183 9.2055 Tf 311.511 634.379 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.434 Td [(2)]TJ/F179 9.5641 Tf 8.839 1.434 Td [(D)]TJ/F183 9.2055 Tf 12.441 0 Td [(\000)]TJ/F40 8.2889 Tf 7.567 0 Td [(P)]TJ/F183 9.2055 Tf 5.243 0 Td [(\007)]TJ/F22 5.8022 Tf 7.742 3.95 Td [(T)]TJ/F179 9.5641 Tf 5.861 -3.95 Td [(C)]TJ/F183 9.2055 Tf 9.585 0 Td [(\007)]TJ/F40 8.2889 Tf 7.742 0 Td [(P)]TJ/F183 9.2055 Tf 5.242 0 Td [(\000)]TJ/F22 5.8022 Tf 7.567 3.95 Td [(T)]TJ/F179 9.5641 Tf 5.861 -3.95 Td [(C)]TJ/F183 9.2055 Tf 9.586 0 Td [(\003)]TJ/F179 9.5641 Tf 9.453 0 Td [(C)]TJ/F40 8.2889 Tf 9.585 0 Td [(A)]TJ/F22 5.8022 Tf 5.031 3.95 Td [(T)]TJ/F40 5.8022 Tf 0 -6.522 Td [(c)]TJ/F40 8.2889 Tf 3.736 2.572 Td [(YA)]TJ/F40 5.8022 Tf 9.748 -1.434 Td [(c)]TJ/F179 9.5641 Tf 5.643 1.434 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.982 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(3)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(1)]TJ/F179 9.5641 Tf 5.982 2.572 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.522 Td [(3)]TJ/F183 9.5641 Tf 3.858 2.572 Td [(/)]TJ/F179 9.5641 Tf -198.48 -12.537 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(4)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(4)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)]TJ/F179 9.5641 Tf 5.692 0 Td [(\000)]TJ/F22 8.2889 Tf 9.586 0 Td [(2)]TJ/F183 9.5641 Tf 4.799 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F183 9.5641 Tf 3.857 2.573 Td [(/)]TJ/F179 9.5641 Tf -176.536 -12.537 Td [(\000)]TJ/F22 8.2889 Tf 9.054 0 Td [(2)]TJ/F40 8.2889 Tf 4.799 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(8)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(4)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(8)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(9)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(4)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(9)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(7)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(7)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)]TJ/F179 9.5641 Tf -175.277 -12.537 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.435 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(8)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(9)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.435 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(8)]TJ/F179 9.5641 Tf 5.982 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(9)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.341 0 Td [(0)-5504(\0505\051)]TJ ET 1 0 0 1 311.511 596.768 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -596.768 cm BT /F40 8.2889 Tf 311.511 578.612 Td [(where)]TJ ET 1 0 0 1 311.511 578.612 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -578.612 cm BT /F183 9.2055 Tf 311.511 560.456 Td [(\000)]TJ/F179 9.5641 Tf 10.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0.084 Td [([)]TJ/F40 8.2889 Tf 2.992 -0.084 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(1)]TJ/F40 8.2889 Tf 8.002 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F40 8.2889 Tf 8.002 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(4)]TJ/F40 8.2889 Tf 8.002 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(7)]TJ/F40 8.2889 Tf 8.002 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(8)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(9)]TJ/F22 8.2889 Tf 3.857 1.519 Td [(])]TJ ET 1 0 0 1 311.511 560.456 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -560.456 cm BT /F183 9.2055 Tf 311.511 546.663 Td [(\007)]TJ/F179 9.5641 Tf 10.398 0 Td [(D)]TJ/F181 9.5641 Tf 10.117 7.689 Td [(\002)]TJ/F40 8.2889 Tf 3.768 -7.689 Td [(A)]TJ/F22 5.8022 Tf 5.032 3.95 Td [(T)]TJ/F40 5.8022 Tf 0 -6.523 Td [(c)]TJ/F40 8.2889 Tf 7.88 2.573 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(5)]TJ/F40 8.2889 Tf 8.002 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(6)]TJ/F40 8.2889 Tf 8.002 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F40 8.2889 Tf 8.002 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(4)]TJ/F181 9.5641 Tf 3.858 9.124 Td [(\003)]TJ ET 1 0 0 1 311.511 546.663 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -546.663 cm BT /F183 9.2055 Tf 311.511 530.927 Td [(\003)]TJ/F179 9.5641 Tf 12.309 0 Td [(D)]TJ/F22 8.2889 Tf 12.441 0 Td [(diag)]TJ/F179 9.5641 Tf 16.205 0 Td [(f)]TJ/F40 8.2889 Tf 3.539 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.982 1.434 Td [(C)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ -1.148 -6.522 Td [(1)]TJ/F40 8.2889 Tf 5.005 2.572 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ -1.148 -6.522 Td [(12)]TJ/F40 8.2889 Tf 7.217 2.572 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(4)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(;)]TJ/F179 9.5641 Tf 8.958 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F179 9.5641 Tf 6.925 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\026/)]TJ/F40 8.2889 Tf 10.129 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(3)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(;)]TJ/F179 9.5641 Tf 8.958 0 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F40 8.2889 Tf 9.585 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(2)]TJ/F179 9.5641 Tf -193.324 -9.026 Td [(C)]TJ/F40 8.2889 Tf 9.054 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(;)]TJ/F179 9.5641 Tf 8.957 0 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(;)]TJ/F179 9.5641 Tf 8.957 0 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(4)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F40 8.2889 Tf 9.586 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(5)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(;)]TJ/F179 9.5641 Tf 8.957 0 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(5)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(;)]TJ/F179 9.5641 Tf 8.958 0 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(3)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(;)]TJ/F22 8.2889 Tf 6.832 0 Td [(0)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 6.832 0 Td [(0)]TJ/F179 9.5641 Tf 4.799 0 Td [(g)]TJ ET 1 0 0 1 311.511 520.467 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -520.467 cm BT /F40 8.2889 Tf 311.511 506.674 Td [(A)]TJ/F40 5.8022 Tf 5.031 -1.435 Td [(c)]TJ/F179 9.5641 Tf 6.175 1.435 Td [(D)]TJ/F22 8.2889 Tf 10.117 0.084 Td [([)]TJ/F40 8.2889 Tf 2.992 -0.084 Td [(A)-500(A)]TJ/F22 5.8022 Tf 14.207 -1.435 Td [(1)]TJ/F22 8.2889 Tf 8.002 1.435 Td [(0)-500(0)-500(0)-500(0)-500(0)-500(0)-500(0)]TJ 58.461 0.084 Td [(])]TJ ET 1 0 0 1 311.511 506.674 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -506.674 cm BT /F40 8.2889 Tf 311.511 486.348 Td [(Y)]TJ/F179 9.5641 Tf 8.521 0 Td [(D)]TJ/F40 8.2889 Tf 10.117 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(4)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ -1.148 -6.523 Td [(1)]TJ/F40 8.2889 Tf 5.005 2.573 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ -1.148 -6.523 Td [(12)]TJ/F40 8.2889 Tf 7.217 2.573 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F183 9.5641 Tf 10.781 6.704 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.52 Td [(4)]TJ -1.148 -6.212 Td [(1)]TJ ET q 1 0 0 1 412.96 488.739 cm []0 d 0 J 0.44 w 0 0 m 9.147 0 l S Q BT /F22 8.2889 Tf 415.133 479.558 Td [(4)]TJ/F40 8.2889 Tf 8.169 6.79 Td [(R)]TJ/F22 5.8022 Tf 4.865 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ/F40 5.8022 Tf -1.147 -6.523 Td [(s)]TJ/F40 8.2889 Tf 5.005 2.573 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(:)]TJ ET 1 0 0 1 311.511 486.348 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -30.323 cm 0 g 0 G 1 0 0 1 -307.526 -456.025 cm BT /F153 8.2889 Tf 311.511 456.025 Td [(Proof.)]TJ ET 1 0 0 1 335.739 456.025 cm 0 g 0 G 1 0 0 1 -335.739 -456.025 cm BT /F22 8.2889 Tf 339.724 456.025 Td [(Construct)-250(a)-250(Lyapunov)-250(functional)-250(as)-250(follows:)]TJ ET 1 0 0 1 311.511 456.025 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -456.025 cm BT /F40 8.2889 Tf 311.511 431.643 Td [(V)]TJ/F183 9.5641 Tf 6.221 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(x)]TJ/F40 5.8022 Tf 4.07 -1.434 Td [(t)]TJ/F183 9.5641 Tf 3.048 1.434 Td [(/)]TJ/F179 9.5641 Tf 7.054 0 Td [(D)]TJ/F183 9.5641 Tf 10.947 0 Td [(\020)]TJ/F22 5.8022 Tf 5.356 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(P)]TJ/F183 9.5641 Tf 5.242 0 Td [(\020)-130(.)]TJ/F40 8.2889 Tf 8.924 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.692 0 Td [(C)]TJ/F181 9.5641 Tf 9.586 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(1)]TJ/F40 8.2889 Tf 5.47 9.922 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 311.511 431.643 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -431.643 cm BT /F179 9.5641 Tf 346.418 403.407 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.431 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F40 8.2889 Tf 9.85 9.922 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F179 9.5641 Tf 5.507 0 Td [(C)]TJ/F181 9.5641 Tf 9.586 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F40 8.2889 Tf 4.589 8.569 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ ET 1 0 0 1 311.511 403.407 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -403.407 cm BT /F179 9.5641 Tf 346.418 375.171 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.016 Td [(Z)]TJ/F40 5.8022 Tf 9.431 -2.584 Td [(t)]TJ -4.381 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F179 9.5641 Tf 5.912 10.097 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(4)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.069 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F179 9.5641 Tf 5.507 0 Td [(C)]TJ/F181 9.5641 Tf 9.585 13.016 Td [(Z)]TJ/F40 5.8022 Tf 9.431 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.052 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F179 9.5641 Tf 10.293 10.097 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(5)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ ET 1 0 0 1 311.511 375.171 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -375.171 cm BT /F179 9.5641 Tf 346.418 346.378 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F22 5.8022 Tf 9.431 -2.585 Td [(0)]TJ/F179 6.6948 Tf -4.381 -19.002 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F181 9.5641 Tf 5.47 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F183 9.5641 Tf 5.707 8.57 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(1)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 311.511 346.378 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -346.378 cm BT /F179 9.5641 Tf 346.418 318.141 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F179 6.6948 Tf 9.431 -2.584 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(1)]TJ/F179 6.6948 Tf -12.501 -17.649 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F181 9.5641 Tf 9.85 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F183 9.5641 Tf 5.707 8.569 Td [(\034)]TJ/F22 5.8022 Tf 4.142 -1.434 Td [(12)]TJ/F179 9.5641 Tf 7.659 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.069 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 311.511 318.141 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -318.141 cm BT /F179 9.5641 Tf 346.418 289.349 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.016 Td [(Z)]TJ/F22 5.8022 Tf 9.431 -2.584 Td [(0)]TJ/F179 6.6948 Tf -4.381 -19.002 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F181 9.5641 Tf 5.47 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F183 9.5641 Tf 5.707 8.57 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.949 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.949 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(3)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 311.511 289.349 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -289.349 cm BT /F179 9.5641 Tf 346.418 261.112 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F179 6.6948 Tf 9.431 -2.584 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(1)]TJ/F179 6.6948 Tf -12.501 -17.649 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F181 9.5641 Tf 9.85 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F183 9.5641 Tf 5.707 8.569 Td [(\034)]TJ/F22 5.8022 Tf 4.142 -1.434 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.434 Td [(x)]TJ/F22 5.8022 Tf 4.069 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 311.511 261.112 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -261.112 cm BT /F179 9.5641 Tf 346.418 232.319 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F22 5.8022 Tf 9.431 -2.584 Td [(0)]TJ/F179 6.6948 Tf -4.381 -19.002 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F181 9.5641 Tf 5.47 22.939 Td [(Z)]TJ/F22 5.8022 Tf 9.43 -2.584 Td [(0)]TJ/F183 6.6948 Tf -4.38 -19.002 Td [(\022)]TJ/F181 9.5641 Tf 9.832 21.586 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.381 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\025)]TJ/F183 9.5641 Tf 6.95 15.274 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.519 Td [(2)]TJ -1.148 -6.212 Td [(1)]TJ ET q 1 0 0 1 410.36 234.71 cm []0 d 0 J 0.44 w 0 0 m 9.147 0 l S Q BT /F22 8.2889 Tf 412.534 225.529 Td [(2)]TJ/F179 9.5641 Tf 8.611 6.964 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.434 Td [(1)]TJ/F179 9.5641 Tf 4.3 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.069 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(sd)]TJ/F183 9.5641 Tf 7.99 0 Td [(\025)]TJ/F22 8.2889 Tf 5.232 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 311.511 232.319 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -232.319 cm BT /F179 9.5641 Tf 346.418 201.534 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F179 6.6948 Tf 9.431 -2.584 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(1)]TJ/F179 6.6948 Tf -12.501 -17.649 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F181 9.5641 Tf 9.85 22.939 Td [(Z)]TJ/F22 5.8022 Tf 9.43 -2.584 Td [(0)]TJ/F183 6.6948 Tf -4.38 -19.002 Td [(\022)]TJ/F181 9.5641 Tf 9.832 21.586 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\025)]TJ/F183 9.5641 Tf 5.754 8.569 Td [(\034)]TJ/F40 5.8022 Tf 4.141 -1.435 Td [(s)]TJ/F179 9.5641 Tf 3.308 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.069 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 -1.435 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\025)]TJ/F22 8.2889 Tf 5.232 0 Td [(d)]TJ/F183 9.5641 Tf 4.931 0 Td [(\022)]TJ/F22 8.2889 Tf 66.053 0 Td [(\0506\051)]TJ ET 1 0 0 1 311.511 201.534 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -201.534 cm BT /F22 8.2889 Tf 311.511 174.248 Td [(where)]TJ/F183 9.5641 Tf 27.299 0 Td [(\020)-130(.)]TJ/F40 8.2889 Tf 8.923 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 8.699 0 Td [(D)]TJ/F40 8.2889 Tf 12.591 0 Td [(col)]TJ/F179 9.5641 Tf 10.419 0 Td [(f)]TJ/F40 8.2889 Tf 3.539 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/;)]TJ/F40 8.2889 Tf 9.921 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 6.758 0 Td [(\000)]TJ/F183 9.5641 Tf 10.576 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/;)]TJ/F40 8.2889 Tf 8.328 0 Td [(x)]TJ/F183 9.5641 Tf 4.069 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(t)]TJ/F179 9.5641 Tf 6.758 0 Td [(\000)]TJ/F183 9.5641 Tf 10.575 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/;)]TJ/F181 9.5641 Tf 9.921 7.703 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.584 Td [(t)]TJ -1.856 -8.376 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 8.2889 Tf 5.47 4.61 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(;)]TJ/F181 9.5641 Tf 6.354 7.703 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -12.527 -7.023 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ ET 1 0 0 1 311.511 174.248 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -174.248 cm BT /F40 8.2889 Tf 311.511 162.071 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F179 9.5641 Tf 3.382 0 Td [(g)]TJ/F22 8.2889 Tf 3.539 0 Td [(.)]TJ ET 1 0 0 1 311.511 162.071 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -162.071 cm BT /F22 8.2889 Tf 323.466 150.58 Td [(Taking)-521(the)-520(time)-521(derivative)-521(of)]TJ/F40 8.2889 Tf 123.061 0 Td [(V)]TJ/F183 9.5641 Tf 6.221 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(x)]TJ/F40 5.8022 Tf 4.07 -1.435 Td [(t)]TJ/F183 9.5641 Tf 3.048 1.435 Td [(/)]TJ/F22 8.2889 Tf 7.884 0 Td [(along)-521(the)-520(trajectory)-521(of)]TJ ET 1 0 0 1 311.511 150.58 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -150.58 cm BT /F22 8.2889 Tf 311.511 139.776 Td [(system)]TJ ET 1 0 0 1 340.655 139.776 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -340.655 -139.776 cm BT /F22 8.2889 Tf 340.655 139.776 Td [(\0501\051)]TJ ET 1 0 0 1 351.579 139.776 cm 0 g 0 G 1 0 0 1 -351.579 -139.776 cm BT /F22 8.2889 Tf 353.651 139.776 Td [(yields)]TJ ET 1 0 0 1 311.511 139.776 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -139.776 cm BT /F179 9.5641 Tf 313.029 123.58 Td [(P)]TJ/F40 8.2889 Tf -1.518 -1.96 Td [(V)]TJ/F183 9.5641 Tf 6.221 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(x)]TJ/F40 5.8022 Tf 4.07 -1.435 Td [(t)]TJ/F183 9.5641 Tf 3.048 1.435 Td [(/)]TJ/F179 9.5641 Tf 7.054 0 Td [(D)]TJ/F22 8.2889 Tf 10.947 0 Td [(2)]TJ/F183 9.5641 Tf 4.8 0 Td [(\020)]TJ/F22 5.8022 Tf 5.355 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(P)]TJ/F179 9.5641 Tf 6.328 1.913 Td [(P)]TJ/F183 9.5641 Tf -1.085 -1.913 Td [(\020)-130(.)]TJ/F40 8.2889 Tf 8.923 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.693 0 Td [(C)]TJ/F40 8.2889 Tf 9.585 0 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/.)]TJ/F40 8.2889 Tf 7.135 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ -1.148 -6.523 Td [(1)]TJ/F40 8.2889 Tf 5.006 2.573 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ -1.147 -6.523 Td [(12)]TJ/F40 8.2889 Tf 7.217 2.573 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(4)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ ET 1 0 0 1 311.511 121.62 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -121.62 cm BT /F179 9.5641 Tf 346.418 106.659 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(1)]TJ/F179 9.5641 Tf 6.924 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\026/)]TJ/F40 8.2889 Tf 10.128 0 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 5.768 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)-120(.)]TJ/F40 8.2889 Tf 8.856 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F40 8.2889 Tf 7.135 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(3)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(t)]TJ/F179 9.5641 Tf 5.768 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)-120(.)]TJ/F40 8.2889 Tf 8.856 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ ET 1 0 0 1 311.511 106.659 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -106.659 cm BT /F179 9.5641 Tf 346.418 92.866 Td [(\000)]TJ/F40 8.2889 Tf 9.054 0 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 5.769 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/.)]TJ/F40 8.2889 Tf 7.135 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.982 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 5.768 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ ET 1 0 0 1 311.511 92.866 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -92.866 cm BT /F179 9.5641 Tf 346.418 79.073 Td [(\000)]TJ/F40 8.2889 Tf 9.054 0 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 5.769 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 5.768 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F179 9.5641 Tf 5.693 0 Td [(\000)]TJ 10.028 0.174 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 5.769 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(5)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 5.768 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ ET 1 0 0 1 311.511 79.073 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -79.073 cm BT /F179 9.5641 Tf 346.418 65.28 Td [(\000)]TJ 9.497 0.174 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 5.769 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/.)]TJ/F40 8.2889 Tf 7.135 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(4)]TJ/F179 9.5641 Tf 5.982 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(5)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F179 9.5641 Tf 4.01 0.174 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 5.768 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F179 9.5641 Tf 5.693 0 Td [(C)]TJ 10.028 0.174 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Y)]TJ/F179 9.5641 Tf 6.307 0.174 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ ET 1 0 0 1 311.511 65.28 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -65.28 cm BT /F179 9.5641 Tf 346.418 45.302 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(\034)]TJ/F22 5.8022 Tf 4.142 -1.435 Td [(1)]TJ/F181 9.5641 Tf 5.451 14.452 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.585 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F179 9.5641 Tf 5.912 10.097 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(1)]TJ/F179 9.5641 Tf 4.301 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ/F179 9.5641 Tf 5.508 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(12)]TJ/F181 9.5641 Tf 8.811 14.452 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.585 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F179 9.5641 Tf 10.293 10.097 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 311.511 45.302 cm 0 g 0 G 0 g 0 G 1 0 0 1 -268.991 -16.896 cm 0 g 0 G 1 0 0 1 520.05 0 cm 0 g 0 G endstream endobj 310 0 obj <> /ProcSet [ /PDF /Text ] >> endobj 311 0 obj <> endobj 312 0 obj [ 880 ] endobj 313 0 obj <> endobj 314 0 obj <>stream %!PS-AdobeFont-1.1: MTMS 1.000 %%CreationDate: 1996 Aug 26 20:27:40 % Copyright (c) 1996 Michael Spivak. % Hinting Copyright (c) 1996 Y&Y, Inc. 11 dict begin /FontInfo 9 dict dup begin /version (1.000) readonly def /Notice (Copyright (c) 1996 Michael Spivak. Hinting Copyright (c) 1996 Y&Y, Inc.) readonly def /FullName (MTMS) readonly def /FamilyName (MathTime) readonly def /Weight (Normal) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -133 def /UnderlineThickness 20 def end readonly def /FontName /RZAOEX+MTMS def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 82 /R put readonly def /FontBBox{27 -241 977 779}readonly def currentdict end currentfile eexec oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou][Lpgɬ`\zONPq8(= VۡVOJi 8bImj,k\g&C4/hOA+ʌXM37HS^<a}30bԻq{| Q59zwdo97$!_S_鑒WLW0=d\ȓ& %%b6FZib _ h/m(ң \='s 4P(4Bi*O[<9jdm<䢭/t$*_Mg }Ӻ6)SWiU}wb>l9 RnuoWIK^p(Б#@$߫j٨ZIVB|`a0Aȍw-9W8Nrz"҂&\1sdZXwZxo  ޳pt#@cs?&zjdL O\7H_Ԧu}EOU_Ccb#4aTlʟ,$/|oE$.J&z;H{eK9 yBP%0a%Y66:Ht)@jӨ "ꌦ.^TIBGH-B)m`R488G TWT&q@PEDs!';((G`$(3:7D<0!KW?BB:DԱ vڃ!qCq~kM9j>y-fuߵf!hh Eyq}%:mV]; i+VGcUendstream endobj 315 0 obj <> endobj 316 0 obj [ 777.8 777.8 277.8 666.7 666.7 777.8 777.8 1000 1000 777.8 722.2 888.9 611.1 1000 1000 1000 1000 833.3 833.3 416.7 416.7 416.7 416.7 1111.1 1111.1 1000 1000 500 500 1000 1388.9 1000 1000 777.8 777.8 777.8 777.8 1111.1 666.7 666.7 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 ] endobj 317 0 obj <> endobj 318 0 obj <>stream %!PS-AdobeFont-1.1: MSAM10 2.1 %%CreationDate: 1993 Sep 17 09:05:00 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSAM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /PMEPKZ+MSAM10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 54 /lessorequalslant put dup 3 /square put readonly def /FontBBox{8 -463 1331 1003}readonly def currentdict end currentfile eexec oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou\cg$4b Mٲ:Ix`(],k pF:ȁ,DN֠L'Y@u7ˍL hFdRs9 9X|",ѯQM5$|cCs-ւ?u[ͫ$Pk<`]; XPǑ%Ęqj ?޷ SK1Q)m*;;\Y#R pD?v-ľ%}JZ2TxI '|?ȗ2II>6|yfDAm&68]Vj/.N'TUx|<Rbh zYŎVc .ʕ4pIG*#5σdc\f;ܾUЏAL$Bj9Ա\Q9$m&O"b"i>T-:\ɥOWൣ)en=N&yh-\?niLrujP$S^o3e8_9 5X5}²LUZRVQFa9\AyQ,.Q*DH^X@Q$T> /Type /Annot /C [ 1 0 0 ] /Border [ 0 0 0 ] /Subtype /Link /Rect [ 96.414 691.664 116.783 701.766 ] >> endobj 320 0 obj <> /Type /Annot /C [ 1 0 0 ] /Border [ 0 0 0 ] /Subtype /Link /Rect 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[(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\030)]TJ/F22 5.8022 Tf 5.127 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/.)]TJ/F40 8.2889 Tf 7.135 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/\030)-110(.)]TJ/F40 8.2889 Tf 12.261 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 24.215 0 Td [(\0508\051)]TJ ET 1 0 0 1 32.706 609.875 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -609.875 cm BT /F179 9.5641 Tf 32.706 579.689 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(1)]TJ/F181 9.5641 Tf 5.452 14.451 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 8.2889 Tf 5.469 9.922 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(3)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F166 7.9701 Tf 6.039 0 Td [(6)]TJ/F179 9.5641 Tf 8.855 0 Td [(\000)]TJ/F181 9.5641 Tf 9.054 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 8.2889 Tf 5.47 9.922 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(sZ)]TJ/F22 5.8022 Tf 7.758 -1.434 Td [(3)]TJ/F181 9.5641 Tf 5.452 14.451 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 8.2889 Tf 5.469 9.922 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 33.504 0 Td [(\0509\051)]TJ ET 1 0 0 1 32.706 579.689 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -579.689 cm BT /F179 9.5641 Tf 32.706 550.897 Td [(\000)]TJ/F183 9.5641 Tf 8.656 6.704 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.52 Td [(2)]TJ -1.148 -6.213 Td [(1)]TJ ET q 1 0 0 1 41.362 553.288 cm []0 d 0 J 0.44 w 0 0 m 9.147 0 l S Q BT /F22 8.2889 Tf 43.535 544.106 Td [(2)]TJ/F181 9.5641 Tf 9.763 19.807 Td [(Z)]TJ/F22 5.8022 Tf 9.43 -2.584 Td [(0)]TJ/F179 6.6948 Tf -4.38 -19.002 Td [(\000)]TJ/F183 6.6948 Tf 5.221 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F181 9.5641 Tf 5.47 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F179 9.5641 Tf 6.15 8.744 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 -1.435 Td [(1)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.069 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 32.706 550.897 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -550.897 cm BT /F166 7.9701 Tf 40.995 526.594 Td [(6)]TJ/F179 9.5641 Tf 8.856 0 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\030)]TJ/F22 5.8022 Tf 5.126 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/.\034)]TJ/F22 5.8022 Tf 11.276 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(7)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(7)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/\030)-110(.)]TJ/F40 8.2889 Tf 12.261 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 84.997 0 Td [(\05010\051)]TJ ET 1 0 0 1 32.706 526.594 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -526.594 cm BT /F179 9.5641 Tf 32.706 505.707 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\034)]TJ/F40 5.8022 Tf 4.141 -1.435 Td [(s)]TJ/F181 9.5641 Tf 4.46 14.452 Td [(Z)]TJ/F179 6.6948 Tf 9.43 -2.584 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F179 6.6948 Tf -12.501 -17.649 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(2)]TJ/F181 9.5641 Tf 9.851 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.381 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.551 0 Td [(C)]TJ/F183 6.6948 Tf 5.221 0 Td [(\022)]TJ/F179 9.5641 Tf 6.15 8.743 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.434 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.381 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 32.706 505.707 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -505.707 cm BT /F166 7.9701 Tf 40.995 481.404 Td [(6)]TJ/F179 9.5641 Tf 8.856 0 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\030)]TJ/F22 5.8022 Tf 5.126 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/.\034)]TJ/F22 5.8022 Tf 11.276 -1.434 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(8)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(9)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.434 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(8)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(9)]TJ/F183 9.5641 Tf 3.857 2.572 Td [(/\030)-110(.)]TJ/F40 8.2889 Tf 12.261 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 39.185 0 Td [(\05011\051)]TJ ET 1 0 0 1 32.706 481.404 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -481.404 cm BT /F22 8.2889 Tf 32.706 465.499 Td [(let)]TJ/F183 9.5641 Tf 12.002 0 Td [(\013)]TJ/F179 9.5641 Tf 8.501 0 Td [(D)]TJ/F183 9.5641 Tf 10.116 0 Td [(.\034)-120(.)]TJ/F40 8.2889 Tf 12.424 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.693 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(1)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/=\034)]TJ/F22 5.8022 Tf 12.204 -1.434 Td [(12)]TJ/F22 8.2889 Tf 9.289 1.434 Td [(and)-250(similar)-250(to)]TJ ET 1 0 0 1 178.943 465.499 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -178.943 -465.499 cm BT /F22 8.2889 Tf 178.943 465.499 Td [(Shao)]TJ ET 1 0 0 1 197.319 465.499 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -199.391 -465.499 cm BT /F22 8.2889 Tf 199.391 465.499 Td [(\050)]TJ ET 1 0 0 1 202.458 465.499 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -202.458 -465.499 cm BT /F22 8.2889 Tf 202.458 465.499 Td [(2009)]TJ ET 1 0 0 1 221.655 465.499 cm 0 g 0 G 1 0 0 1 -221.655 -465.499 cm BT /F22 8.2889 Tf 221.655 465.499 Td [(\051)]TJ ET 1 0 0 1 32.706 465.499 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -465.499 cm BT /F179 9.5641 Tf 34.831 442.62 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(12)]TJ/F181 9.5641 Tf 8.811 14.452 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.585 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F179 9.5641 Tf 10.292 10.097 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 32.706 442.62 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -442.62 cm BT /F179 9.5641 Tf 40.995 413.68 Td [(D)-278(\000)]TJ/F183 9.5641 Tf 17.577 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(12)]TJ/F181 9.5641 Tf 8.811 14.451 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.551 0 Td [(/)]TJ/F40 5.8022 Tf -20.902 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F179 9.5641 Tf 15.262 10.096 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F179 9.5641 Tf 5.507 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(12)]TJ/F181 9.5641 Tf 8.811 14.451 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F179 9.5641 Tf 5.032 8.743 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ ET 1 0 0 1 32.706 413.68 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -413.68 cm BT /F179 9.5641 Tf 40.995 384.741 Td [(D)-278(\000)]TJ/F183 9.5641 Tf 17.577 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)-120(.)]TJ/F40 8.2889 Tf 8.856 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F181 9.5641 Tf 8.729 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F40 5.8022 Tf -20.901 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(2)]TJ/F179 9.5641 Tf 15.263 10.096 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.069 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 32.706 384.741 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -384.741 cm BT /F179 9.5641 Tf 49.284 355.802 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.\034)-120(.)]TJ/F40 8.2889 Tf 12.424 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.692 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F181 9.5641 Tf 5.162 13.016 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F40 5.8022 Tf -20.901 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F179 9.5641 Tf 15.262 10.097 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ ET 1 0 0 1 32.706 355.802 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -355.802 cm BT /F179 9.5641 Tf 49.284 327.565 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.\034)-120(.)]TJ/F40 8.2889 Tf 12.424 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.692 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F181 9.5641 Tf 5.162 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F179 9.5641 Tf 5.032 8.743 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 32.706 327.565 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -327.565 cm BT /F179 9.5641 Tf 49.284 299.517 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)-120(.)]TJ/F40 8.2889 Tf 8.856 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F181 9.5641 Tf 8.729 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.585 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F179 9.5641 Tf 5.032 8.744 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 32.706 299.517 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -299.517 cm BT /F166 7.9701 Tf 40.995 277.395 Td [(6)]TJ/F179 9.5641 Tf 8.856 0 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\030)]TJ/F22 5.8022 Tf 5.126 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/.)]TJ/F40 8.2889 Tf 7.135 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.982 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(4)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F179 9.5641 Tf 5.982 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(4)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/\030)-110(.)]TJ/F40 8.2889 Tf 12.261 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.693 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\030)]TJ/F22 5.8022 Tf 5.126 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/.)]TJ/F40 8.2889 Tf 7.134 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ ET 1 0 0 1 32.706 277.395 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -277.395 cm BT /F179 9.5641 Tf 49.284 262.434 Td [(\002)]TJ/F183 9.5641 Tf 9.092 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(3)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(2)]TJ/F183 9.5641 Tf 3.858 2.572 Td [(/\030)-110(.)]TJ/F40 8.2889 Tf 12.261 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.692 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\013)-40(\030)]TJ/F22 5.8022 Tf 10.97 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/.)]TJ/F40 8.2889 Tf 7.135 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(4)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.522 Td [(2)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.522 Td [(4)]TJ/F183 9.5641 Tf 3.858 2.572 Td [(/\030)-110(.)]TJ/F40 8.2889 Tf 12.261 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ ET 1 0 0 1 32.706 262.434 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -262.434 cm BT /F179 9.5641 Tf 49.284 245.429 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F179 9.5641 Tf 6.925 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\013)-40(/\030)]TJ/F22 5.8022 Tf 14.538 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/.)]TJ/F40 8.2889 Tf 7.134 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F183 9.5641 Tf 3.857 2.573 Td [(/\030)-110(.)]TJ/F40 8.2889 Tf 12.262 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/:)]TJ/F22 8.2889 Tf 70.968 0 Td [(\05012\051)]TJ ET 1 0 0 1 32.706 245.429 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -245.429 cm BT /F22 8.2889 Tf 32.706 229.524 Td [(Similarly,)]TJ ET 1 0 0 1 32.706 229.524 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -229.524 cm BT /F179 9.5641 Tf 34.831 206.828 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(12)]TJ/F181 9.5641 Tf 8.811 14.451 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F40 8.2889 Tf 9.85 9.922 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F166 7.9701 Tf 6.038 0 Td [(6)]TJ/F179 9.5641 Tf 8.856 0 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\030)]TJ/F22 5.8022 Tf 5.126 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F181 9.5641 Tf 5.162 7.69 Td [(\002)]TJ/F40 8.2889 Tf 3.768 -7.69 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(8)]TJ/F40 8.2889 Tf 3.858 2.573 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(8)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(9)]TJ/F40 8.2889 Tf 3.857 2.573 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(9)]TJ/F181 9.5641 Tf 3.858 9.124 Td [(\003)]TJ/F183 9.5641 Tf 5.362 -7.69 Td [(\030)-110(.)]TJ/F40 8.2889 Tf 8.694 0 Td [(t)]TJ/F183 9.5641 Tf 3.642 0 Td [(/)]TJ ET 1 0 0 1 32.706 206.828 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -206.828 cm BT /F179 9.5641 Tf 40.995 182.525 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(\013)-40(\030)]TJ/F22 5.8022 Tf 10.97 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(9)]TJ/F40 8.2889 Tf 3.858 2.572 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(9)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(\030)-110(.)]TJ/F40 8.2889 Tf 8.694 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.692 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F179 9.5641 Tf 6.925 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\013)-40(/\030)]TJ/F22 5.8022 Tf 14.537 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(8)]TJ/F40 8.2889 Tf 3.857 2.572 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(8)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(\030)-110(.)]TJ/F40 8.2889 Tf 8.694 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/:)]TJ/F22 8.2889 Tf 55.616 0 Td [(\05013\051)]TJ ET 1 0 0 1 32.706 182.525 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -182.525 cm BT /F22 8.2889 Tf 32.706 166.62 Td [(From)]TJ ET 1 0 0 1 54.779 166.62 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -54.779 -166.62 cm BT /F22 8.2889 Tf 54.779 166.62 Td [(\0507\051\025\05013\051)]TJ ET 1 0 0 1 86.227 166.62 cm 0 g 0 G 1 0 0 1 -86.227 -166.62 cm BT /F22 8.2889 Tf 86.227 166.62 Td [(,)-250(it)-250(can)-250(be)-250(seen)-250(that)]TJ ET 1 0 0 1 32.706 166.62 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -166.62 cm BT /F179 9.5641 Tf 34.224 149.819 Td [(P)]TJ/F40 8.2889 Tf -1.518 -1.961 Td [(V)]TJ/F183 9.5641 Tf 6.221 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(x)]TJ/F40 5.8022 Tf 4.07 -1.434 Td [(t)]TJ/F183 9.5641 Tf 3.048 1.434 Td [(/)]TJ/F166 7.9701 Tf 7.055 0 Td [(6)]TJ/F183 9.5641 Tf 9.685 0 Td [(\030)]TJ/F22 5.8022 Tf 5.127 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 5.161 0.085 Td [([)]TJ/F183 9.5641 Tf 2.993 -0.085 Td [(\013)]TJ/F183 9.2055 Tf 5.843 0 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(1)]TJ/F179 9.5641 Tf 6.924 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\013)-40(/)]TJ/F183 9.2055 Tf 9.411 0 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.434 Td [(2)]TJ/F22 8.2889 Tf 3.857 1.519 Td [(])]TJ/F183 9.5641 Tf 4.587 -0.085 Td [(\030)-110(.)]TJ/F40 8.2889 Tf 8.693 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/:)]TJ/F22 8.2889 Tf 91.716 0 Td [(\05014\051)]TJ ET 1 0 0 1 32.706 147.858 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -147.858 cm BT /F22 8.2889 Tf 32.706 131.953 Td [(Since)-328(0)]TJ/F166 7.9701 Tf 32.028 0 Td [(6)]TJ/F183 9.5641 Tf 10.51 0 Td [(\013)]TJ/F166 7.9701 Tf 10.155 0 Td [(6)]TJ/F22 8.2889 Tf 10.51 0 Td [(1,)]TJ/F183 9.5641 Tf 9.457 0 Td [(\013)]TJ/F183 9.2055 Tf 5.843 0 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(1)]TJ/F179 9.5641 Tf 6.645 1.435 Td [(C)]TJ/F183 9.5641 Tf 10.247 0 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(1)]TJ/F179 9.5641 Tf 7.586 0 Td [(\000)]TJ/F183 9.5641 Tf 10.247 0 Td [(\013)-40(/)]TJ/F183 9.2055 Tf 9.411 0 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(2)]TJ/F22 8.2889 Tf 6.575 1.435 Td [(is)-328(a)-328(convex)-328(combination)-327(of)]TJ ET 1 0 0 1 32.706 131.953 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -131.953 cm BT /F183 9.2055 Tf 32.706 121.67 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(1)]TJ/F22 8.2889 Tf 7.091 1.435 Td [(and)]TJ/F183 9.2055 Tf 17.482 0 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(2)]TJ/F22 8.2889 Tf 3.858 1.435 Td [(.)-391(Therefore,)]TJ/F183 9.5641 Tf 47.347 0 Td [(\013)]TJ/F183 9.2055 Tf 5.843 0 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(1)]TJ/F179 9.5641 Tf 7.174 1.435 Td [(C)]TJ/F183 9.5641 Tf 10.776 0 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(1)]TJ/F179 9.5641 Tf 8.115 0 Td [(\000)]TJ/F183 9.5641 Tf 10.777 0 Td [(\013)-40(/)]TJ/F183 9.2055 Tf 9.411 0 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(2)]TJ/F183 9.5641 Tf 9.491 1.435 Td [(<)]TJ/F22 8.2889 Tf 13.094 0 Td [(0)-390(is)-390(equivalent)-390(to)]TJ ET 1 0 0 1 32.706 121.67 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -121.67 cm BT /F183 9.2055 Tf 32.706 111.387 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(1)]TJ/F183 9.5641 Tf 8.762 1.435 Td [(<)]TJ/F22 8.2889 Tf 12.364 0 Td [(0)-356(and)]TJ/F183 9.2055 Tf 24.946 0 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(2)]TJ/F183 9.5641 Tf 8.761 1.435 Td [(<)]TJ/F22 8.2889 Tf 12.365 0 Td [(0.)-356(If)]TJ ET 1 0 0 1 131.949 111.387 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -131.949 -111.387 cm BT /F22 8.2889 Tf 131.949 111.387 Td [(\0504\051)]TJ ET 1 0 0 1 142.874 111.387 cm 0 g 0 G 1 0 0 1 -142.874 -111.387 cm BT /F22 8.2889 Tf 142.874 111.387 Td [(\025)]TJ ET 1 0 0 1 147.673 111.387 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -147.673 -111.387 cm BT /F22 8.2889 Tf 147.673 111.387 Td [(\0505\051)]TJ ET 1 0 0 1 158.598 111.387 cm 0 g 0 G 1 0 0 1 -158.598 -111.387 cm BT /F22 8.2889 Tf 161.547 111.387 Td [(are)-356(satisfied,)-356(then)-355(system)]TJ ET 1 0 0 1 263.708 111.387 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -263.708 -111.387 cm BT /F22 8.2889 Tf 263.708 111.387 Td [(\0501\051)]TJ ET 1 0 0 1 274.632 111.387 cm 0 g 0 G 1 0 0 1 -274.632 -111.387 cm BT /F22 8.2889 Tf 277.581 111.387 Td [(is)]TJ ET 1 0 0 1 32.706 111.387 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -111.387 cm BT /F22 8.2889 Tf 32.706 101.104 Td [(asymptotically)-231(stable)-230(according)-231(to)-231(Lyapunov)-230(stability)-231(theory)-231(\050)]TJ ET 1 0 0 1 266.449 101.104 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -266.449 -101.104 cm BT /F22 8.2889 Tf 266.449 101.104 Td [(Hale)]TJ ET 1 0 0 1 283.765 101.104 cm 0 g 0 G 1 0 0 1 -251.059 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.283 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -32.706 -90.821 cm BT /F22 8.2889 Tf 32.706 90.821 Td [(&)]TJ ET 1 0 0 1 38.467 90.821 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -40.539 -90.821 cm BT /F22 8.2889 Tf 40.539 90.821 Td [(Lunel,)]TJ ET 1 0 0 1 63.458 90.821 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -65.53 -90.821 cm BT /F22 8.2889 Tf 65.53 90.821 Td [(1993)]TJ ET 1 0 0 1 84.727 90.821 cm 0 g 0 G 1 0 0 1 -84.727 -90.821 cm BT /F22 8.2889 Tf 84.727 90.821 Td [(\051.)]TJ/F166 7.9701 Tf 17.44 0 Td [(\003)]TJ ET 1 0 0 1 32.706 90.821 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -19.611 cm 0 g 0 G 1 0 0 1 -28.721 -71.21 cm BT /F153 8.2889 Tf 32.706 71.21 Td [(Remark)-250(3.)]TJ ET 1 0 0 1 73.297 71.21 cm 0 g 0 G 1 0 0 1 -73.297 -71.21 cm BT /F22 8.2889 Tf 77.282 71.21 Td [(By)-299(constructing)-299(a)-299(new)-299(Lyapunov)-299(functional)-299(and)-299(using)]TJ ET 1 0 0 1 32.706 71.21 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -71.21 cm BT /F22 8.2889 Tf 32.706 60.927 Td [(some)-704(integral)-703(inequalities,)-704(a)-704(delay-range-dependent)-704(stability)]TJ ET 1 0 0 1 32.706 60.927 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -60.927 cm BT /F22 8.2889 Tf 32.706 50.644 Td [(criterion)-189(is)-190(obtained)-189(in)-190(terms)-189(of)-190(LMIs)-189(without)-190(introducing)-189(any)-190(free-)]TJ ET 1 0 0 1 32.706 50.644 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -50.644 cm BT /F22 8.2889 Tf 32.706 40.361 Td [(weighting)-263(matrices)-262(besides)-263(the)-263(Lyapunov)-262(matrices.)-263(Therefore,)-263(the)]TJ ET 1 0 0 1 32.706 40.361 cm 0 g 0 G 0 g 0 G 1 0 0 1 260.025 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 -292.731 -40.361 cm BT /F22 8.2889 Tf 301.697 720.809 Td [(method)-398(proposed)-398(in)-398(this)-398(paper)-398(may)-398(involve)-399(muc)1(h)-399(less)-398(decision)]TJ ET 1 0 0 1 301.697 720.809 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -720.809 cm BT /F22 8.2889 Tf 301.697 709.96 Td [(variables)-420(than)-421(the)-420(well-known)-420(free-weighting)-420(matrices)-421(method)]TJ ET 1 0 0 1 301.697 709.96 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -709.96 cm BT /F22 8.2889 Tf 301.697 699.11 Td [(\050)]TJ ET 1 0 0 1 304.764 699.11 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -304.764 -699.11 cm BT /F22 8.2889 Tf 304.764 699.11 Td [(He)]TJ ET 1 0 0 1 315.308 699.11 cm 0 g 0 G 1 0 0 1 3.175 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -318.483 -699.11 cm BT /F22 8.2889 Tf 318.483 699.11 Td [(et)-383(al.)]TJ ET 1 0 0 1 337.83 699.11 cm 0 g 0 G 1 0 0 1 -337.83 -699.11 cm BT /F22 8.2889 Tf 337.83 699.11 Td [(,)]TJ ET 1 0 0 1 339.77 699.11 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 3.177 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -342.947 -699.11 cm BT /F22 8.2889 Tf 342.947 699.11 Td [(2005)]TJ ET 1 0 0 1 362.144 699.11 cm 0 g 0 G 1 0 0 1 -362.144 -699.11 cm BT /F22 8.2889 Tf 362.144 699.11 Td [(,)]TJ ET 1 0 0 1 364.083 699.11 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 3.177 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -367.26 -699.11 cm BT /F22 8.2889 Tf 367.26 699.11 Td [(2007)]TJ ET 1 0 0 1 386.457 699.11 cm 0 g 0 G 1 0 0 1 -386.457 -699.11 cm BT /F22 8.2889 Tf 386.457 699.11 Td [(,)]TJ ET 1 0 0 1 388.397 699.11 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 3.176 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -391.573 -699.11 cm BT /F22 8.2889 Tf 391.573 699.11 Td [(2004)]TJ ET 1 0 0 1 410.77 699.11 cm 0 g 0 G 1 0 0 1 -410.77 -699.11 cm BT /F22 8.2889 Tf 410.77 699.11 Td [(\051)-383(if)-383(the)-383(same)-383(Lyapunov)-384(functional)-383(is)]TJ ET 1 0 0 1 301.697 699.11 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -699.11 cm BT /F22 8.2889 Tf 301.697 688.261 Td [(chosen.)-235(For)-235(example,)-236(the)-235(decision)-235(variables)-235(of)]TJ ET 1 0 0 1 476.943 688.261 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -476.943 -688.261 cm BT /F22 8.2889 Tf 476.943 688.261 Td [(Theorem)-235(2)]TJ ET 1 0 0 1 517.842 688.261 cm 0 g 0 G 1 0 0 1 -517.842 -688.261 cm BT /F22 8.2889 Tf 519.791 688.261 Td [(involved)]TJ ET 1 0 0 1 301.697 688.261 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -688.261 cm BT /F22 8.2889 Tf 301.697 677.412 Td [(using)-193(our)-193(method)-193(is)-193(18)]TJ/F40 8.2889 Tf 85.734 0 Td [(n)]TJ/F22 5.8022 Tf 4.791 3.472 Td [(2)]TJ/F179 9.5641 Tf 4.531 -3.472 Td [(C)]TJ/F22 8.2889 Tf 8.133 0 Td [(8)]TJ/F40 8.2889 Tf 4.799 0 Td [(n)]TJ/F22 8.2889 Tf 4.791 0 Td [(.)-193(If)-193(using)-194(the)-193(free-weighting)-193(matrices)]TJ ET 1 0 0 1 301.697 677.412 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -677.412 cm BT /F22 8.2889 Tf 301.697 666.563 Td [(method)-217(in)]TJ ET 1 0 0 1 342.592 666.563 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -342.592 -666.563 cm BT /F22 8.2889 Tf 342.592 666.563 Td [(He)]TJ ET 1 0 0 1 353.135 666.563 cm 0 g 0 G 1 0 0 1 1.798 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -354.933 -666.563 cm BT /F22 8.2889 Tf 354.933 666.563 Td [(et)-217(al.)]TJ ET 1 0 0 1 372.902 666.563 cm 0 g 0 G 1 0 0 1 1.799 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -374.701 -666.563 cm BT /F22 8.2889 Tf 374.701 666.563 Td [(\050)]TJ ET 1 0 0 1 377.768 666.563 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -377.768 -666.563 cm BT /F22 8.2889 Tf 377.768 666.563 Td [(2007)]TJ ET 1 0 0 1 396.965 666.563 cm 0 g 0 G 1 0 0 1 -396.965 -666.563 cm BT /F22 8.2889 Tf 396.965 666.563 Td [(\051,)-217(the)-217(decision)-217(vari)1(ables)-217(will)-217(be)-217(28)]TJ/F40 8.2889 Tf 127.533 0 Td [(n)]TJ/F22 5.8022 Tf 4.791 3.472 Td [(2)]TJ/F179 9.5641 Tf 5.137 -3.472 Td [(C)]TJ/F22 8.2889 Tf 8.74 0 Td [(8)]TJ/F40 8.2889 Tf 4.799 0 Td [(n)]TJ ET 1 0 0 1 301.697 666.563 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -666.563 cm BT /F22 8.2889 Tf 301.697 655.713 Td [(or)-250(even)-250(more.)]TJ ET 1 0 0 1 301.697 655.713 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -655.713 cm BT /F22 8.2889 Tf 313.653 635.779 Td [(Compared)-229(with)-230(the)-229(existing)-229(Lyapunov)-230(functional,)-229(the)-229(proposed)]TJ ET 1 0 0 1 301.697 635.779 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -635.779 cm BT /F22 8.2889 Tf 301.697 624.93 Td [(one)]TJ ET 1 0 0 1 320.227 624.93 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -320.227 -624.93 cm BT /F22 8.2889 Tf 320.227 624.93 Td [(\0506\051)]TJ ET 1 0 0 1 331.152 624.93 cm 0 g 0 G 1 0 0 1 -331.152 -624.93 cm BT /F22 8.2889 Tf 335.599 624.93 Td [(contains)-536(some)-537(triple-integral)-536(terms.)-539(Such)-536(a)-537(Lyapunov)]TJ ET 1 0 0 1 301.697 624.93 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -624.93 cm BT /F22 8.2889 Tf 301.697 614.08 Td [(functional)-327(type)-327(is)-327(very)-327(effective)-327(in)-327(the)-328(reduction)-327(of)-327(conservatism)]TJ ET 1 0 0 1 301.697 614.08 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -614.08 cm BT /F22 8.2889 Tf 301.697 603.231 Td [(\050)]TJ ET 1 0 0 1 304.764 603.231 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -304.764 -603.231 cm BT /F22 8.2889 Tf 304.764 603.231 Td [(Sun)]TJ ET 1 0 0 1 319.129 603.231 cm 0 g 0 G 1 0 0 1 4.795 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -323.924 -603.231 cm BT /F22 8.2889 Tf 323.924 603.231 Td [(et)-578(al.,)]TJ ET 1 0 0 1 346.829 603.231 cm 0 g 0 G 1 0 0 1 4.798 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -351.627 -603.231 cm BT /F22 8.2889 Tf 351.627 603.231 Td [(2009)]TJ ET 1 0 0 1 370.824 603.231 cm 0 g 0 G 1 0 0 1 -370.824 -603.231 cm BT /F22 8.2889 Tf 370.824 603.231 Td [(\051.)-580(This)-579(is)-578(one)-579(reason)-578(why)-579(our)-578(result)-578(is)-579(less)]TJ ET 1 0 0 1 301.697 603.231 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -603.231 cm BT /F22 8.2889 Tf 301.697 592.382 Td [(conservative)-672(than)-673(the)-672(existing)-672(ones.)-675(Another)-672(reason)-672(is)-673(that)]TJ ET 1 0 0 1 301.697 592.382 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -592.382 cm BT /F22 8.2889 Tf 301.697 581.533 Td [(the)-457(information)-457(on)-456(the)-457(lower)-457(bound)-457(of)-456(the)-457(delay)-457(is)-457(effectively)]TJ ET 1 0 0 1 301.697 581.533 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -581.533 cm BT /F22 8.2889 Tf 301.697 570.683 Td [(used)-732(in)-732(the)-732(Lyapunov)-732(functional)-732(by)-732(introducing)-732(the)-732(terms)]TJ ET 1 0 0 1 301.697 570.683 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -570.683 cm BT /F181 9.5641 Tf 301.697 566.627 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.585 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -12.526 -7.023 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F40 8.2889 Tf 7.325 4.61 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.471 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.471 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.069 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 7.358 0 Td [(and)]TJ/F181 9.5641 Tf 18.225 7.704 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.585 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -12.526 -7.023 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F40 8.2889 Tf 4.589 3.257 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.471 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.471 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(.)-481(To)-480(the)-480(best)-479(of)-480(the)]TJ ET 1 0 0 1 301.697 558.923 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -558.923 cm BT /F22 8.2889 Tf 301.697 546.956 Td [(authors')-408(knowledge,)-408(the)-408(most)-408(recent)-408(and)-409(the)-408(least)-408(conservative)]TJ ET 1 0 0 1 301.697 546.956 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -546.956 cm BT /F22 8.2889 Tf 301.697 536.106 Td [(results)-226(for)-225(linear)-226(systems)-226(with)-226(time-varying)-225(delays)-226(were)-226(proposed)]TJ ET 1 0 0 1 301.697 536.106 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -536.106 cm BT /F22 8.2889 Tf 301.697 525.257 Td [(in)]TJ ET 1 0 0 1 311.173 525.257 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -311.173 -525.257 cm BT /F22 8.2889 Tf 311.173 525.257 Td [(Shao)]TJ ET 1 0 0 1 329.549 525.257 cm 0 g 0 G 1 0 0 1 1.966 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -331.515 -525.257 cm BT /F22 8.2889 Tf 331.515 525.257 Td [(\050)]TJ ET 1 0 0 1 334.582 525.257 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -334.582 -525.257 cm BT /F22 8.2889 Tf 334.582 525.257 Td [(2009)]TJ ET 1 0 0 1 353.779 525.257 cm 0 g 0 G 1 0 0 1 -353.779 -525.257 cm BT /F22 8.2889 Tf 353.779 525.257 Td [(\051.)-237(Therefore,)-237(in)-237(the)-238(following)-237(part,)-237(we)-237(will)-237(prove)-237(that)]TJ ET 1 0 0 1 301.697 525.257 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -525.257 cm BT /F22 8.2889 Tf 301.697 514.408 Td [(our)-172(results)-171(are)-172(still)-171(less)-172(conservative)-172(than)-171(those)-172(in)]TJ ET 1 0 0 1 487.977 514.408 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -487.977 -514.408 cm BT /F22 8.2889 Tf 487.977 514.408 Td [(Shao)]TJ ET 1 0 0 1 506.353 514.408 cm 0 g 0 G 1 0 0 1 1.423 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -507.776 -514.408 cm BT /F22 8.2889 Tf 507.776 514.408 Td [(\050)]TJ ET 1 0 0 1 510.842 514.408 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -510.842 -514.408 cm BT /F22 8.2889 Tf 510.842 514.408 Td [(2009)]TJ ET 1 0 0 1 530.039 514.408 cm 0 g 0 G 1 0 0 1 -530.039 -514.408 cm BT /F22 8.2889 Tf 530.039 514.408 Td [(\051)-172(even)]TJ ET 1 0 0 1 301.697 514.408 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -514.408 cm BT /F22 8.2889 Tf 301.697 503.559 Td [(if)-250(the)-250(triple-integral)-250(terms)-250(are)-250(not)-250(introduced.)]TJ ET 1 0 0 1 301.697 503.559 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -503.559 cm BT /F22 8.2889 Tf 313.653 491.932 Td [(To)-288(compare)-289(our)-288(results)-289(fairly)-288(with)]TJ ET 1 0 0 1 447.15 491.932 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -447.15 -491.932 cm BT /F22 8.2889 Tf 447.15 491.932 Td [(Shao)]TJ ET 1 0 0 1 465.526 491.932 cm 0 g 0 G 1 0 0 1 2.391 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -467.917 -491.932 cm BT /F22 8.2889 Tf 467.917 491.932 Td [(\050)]TJ ET 1 0 0 1 470.984 491.932 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -470.984 -491.932 cm BT /F22 8.2889 Tf 470.984 491.932 Td [(2009)]TJ ET 1 0 0 1 490.181 491.932 cm 0 g 0 G 1 0 0 1 -490.181 -491.932 cm BT /F22 8.2889 Tf 490.181 491.932 Td [(\051,)-288(we)-289(choose)-288(the)]TJ ET 1 0 0 1 301.697 491.932 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -491.932 cm BT /F22 8.2889 Tf 301.697 481.083 Td [(following)-250(Lyapunov)-250(functional)-250(that)-250(is)-250(a)-250(special)-250(case)-250(of)]TJ ET 1 0 0 1 508.521 481.083 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -508.521 -481.083 cm BT /F22 8.2889 Tf 508.521 481.083 Td [(\0506\051)]TJ ET 1 0 0 1 519.445 481.083 cm 0 g 0 G 1 0 0 1 -519.445 -481.083 cm BT /F22 8.2889 Tf 519.445 481.083 Td [(.)]TJ ET 1 0 0 1 301.697 481.083 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -481.083 cm BT /F40 8.2889 Tf 301.697 456.144 Td [(V)]TJ/F183 9.5641 Tf 6.221 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(x)]TJ/F40 5.8022 Tf 4.069 -1.435 Td [(t)]TJ/F183 9.5641 Tf 3.049 1.435 Td [(/)]TJ/F179 9.5641 Tf 7.054 0 Td [(D)]TJ/F40 8.2889 Tf 10.947 0 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Px)]TJ/F183 9.5641 Tf 8.538 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.693 0 Td [(C)]TJ/F181 9.5641 Tf 9.585 13.016 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 8.2889 Tf 5.47 9.923 Td [(x)]TJ/F22 5.8022 Tf 4.069 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 301.697 456.144 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -456.144 cm BT /F179 9.5641 Tf 336.605 427.907 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F40 8.2889 Tf 9.85 9.922 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(2)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(x)]TJ/F183 9.5641 Tf 4.069 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F179 9.5641 Tf 5.507 0 Td [(C)]TJ/F181 9.5641 Tf 9.585 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.431 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.2 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F40 8.2889 Tf 4.589 8.569 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(3)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 301.697 427.907 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -427.907 cm BT /F179 9.5641 Tf 336.605 399.114 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F22 5.8022 Tf 9.43 -2.584 Td [(0)]TJ/F179 6.6948 Tf -4.38 -19.002 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(1)]TJ/F181 9.5641 Tf 5.47 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F179 9.5641 Tf 6.15 8.743 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(1)]TJ/F179 9.5641 Tf 4.3 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 301.697 399.114 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -399.114 cm BT /F179 9.5641 Tf 336.605 368.885 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F179 6.6948 Tf 9.43 -2.584 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F179 6.6948 Tf -12.501 -17.649 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(2)]TJ/F181 9.5641 Tf 9.851 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F179 9.5641 Tf 6.149 8.743 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.381 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)-100(:)]TJ/F22 8.2889 Tf 93.841 0 Td [(\05015\051)]TJ ET 1 0 0 1 301.697 368.885 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -368.885 cm BT /F22 8.2889 Tf 301.697 343.696 Td [(The)-188(only)-188(difference)-188(between)-188(Lyapunov)-188(functional)]TJ ET 1 0 0 1 489.256 343.696 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -489.256 -343.696 cm BT /F22 8.2889 Tf 489.256 343.696 Td [(\05015\051)]TJ ET 1 0 0 1 504.98 343.696 cm 0 g 0 G 1 0 0 1 -504.98 -343.696 cm BT /F22 8.2889 Tf 506.538 343.696 Td [(and)-188(the)-188(Lya-)]TJ ET 1 0 0 1 301.697 343.696 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -343.696 cm BT /F22 8.2889 Tf 301.697 331.935 Td [(punov)-420(functional)-420(in)]TJ ET 1 0 0 1 382.612 331.935 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -382.612 -331.935 cm BT /F22 8.2889 Tf 382.612 331.935 Td [(Shao)]TJ ET 1 0 0 1 400.988 331.935 cm 0 g 0 G 1 0 0 1 3.481 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -404.469 -331.935 cm BT /F22 8.2889 Tf 404.469 331.935 Td [(\050)]TJ ET 1 0 0 1 407.536 331.935 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -407.536 -331.935 cm BT /F22 8.2889 Tf 407.536 331.935 Td [(2009)]TJ ET 1 0 0 1 426.733 331.935 cm 0 g 0 G 1 0 0 1 -426.733 -331.935 cm BT /F22 8.2889 Tf 426.733 331.935 Td [(\051)-420(is)-420(that)]TJ/F181 9.5641 Tf 35.184 7.704 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -12.526 -7.024 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(2)]TJ/F40 8.2889 Tf 7.326 4.61 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.472 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.472 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 6.862 0 Td [(and)]TJ ET 1 0 0 1 301.697 331.935 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -331.935 cm BT /F181 9.5641 Tf 301.697 325.017 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -12.526 -7.023 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F40 8.2889 Tf 4.589 3.256 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.472 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.472 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 5.305 0 Td [(are)-232(introduced)-232(in)-232(our)-232(Lyapunov)-233(f)1(unctional)-233(in-)]TJ ET 1 0 0 1 301.697 317.313 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -317.313 cm BT /F22 8.2889 Tf 301.697 302.923 Td [(stead)-223(of)]TJ/F181 9.5641 Tf 31.527 7.704 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.584 Td [(t)]TJ -1.855 -8.377 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F40 8.2889 Tf 5.469 4.61 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.472 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.472 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 5.228 0 Td [(and)]TJ/F181 9.5641 Tf 16.095 7.704 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.584 Td [(t)]TJ -1.856 -8.377 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.2 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F40 8.2889 Tf 4.589 3.257 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.472 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.472 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(.)-223(Define)]TJ/F179 9.5641 Tf 30.972 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F40 5.8022 Tf 3.979 -1.435 Td [(i)]TJ/F22 8.2889 Tf 4.004 1.435 Td [(\050)]TJ/F40 8.2889 Tf 3.067 0 Td [(i)]TJ/F179 9.5641 Tf 5.027 0 Td [(D)]TJ ET 1 0 0 1 301.697 302.923 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -302.923 cm BT /F22 8.2889 Tf 301.697 289.345 Td [(1)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(2)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(3)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(4\051)-315(are)-315(block)-315(entry)-315(matrices.)-315(For)-315(example,)]TJ/F179 9.5641 Tf 161.475 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.519 Td [(T)]TJ 0 -6.212 Td [(2)]TJ/F179 9.5641 Tf 7.894 2.693 Td [(D)]TJ/F22 8.2889 Tf 11.497 0.084 Td [([)]TJ 2.992 -0.084 Td [(0)]TJ/F40 8.2889 Tf 8.944 0 Td [(I)]TJ/F22 8.2889 Tf 7.315 0 Td [(0)-500(0)]TJ 13.743 0.084 Td [(])]TJ 2.992 -0.084 Td [(.)]TJ ET 1 0 0 1 301.697 289.345 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -289.345 cm BT /F22 8.2889 Tf 301.697 278.496 Td [(Using)-258(this)-258(Lyapunov)-257(functional,)-258(the)-258(following)-257(corollary)-258(can)-258(be)-258(ob-)]TJ ET 1 0 0 1 301.697 278.496 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -278.496 cm BT /F22 8.2889 Tf 301.697 267.646 Td [(tained)-250(from)]TJ ET 1 0 0 1 348.571 267.646 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -348.571 -267.646 cm BT /F22 8.2889 Tf 348.571 267.646 Td [(Theorem)-250(2)]TJ ET 1 0 0 1 389.592 267.646 cm 0 g 0 G 1 0 0 1 -389.592 -267.646 cm BT /F22 8.2889 Tf 389.592 267.646 Td [(.)]TJ ET 1 0 0 1 301.697 267.646 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -22.963 cm 0 g 0 G 1 0 0 1 -297.712 -244.683 cm BT /F153 8.2889 Tf 301.697 244.683 Td [(Corollary)-250(4.)]TJ ET 1 0 0 1 347.684 244.683 cm 0 g 0 G 1 0 0 1 -347.684 -244.683 cm BT /F40 8.2889 Tf 351.669 244.683 Td [(Given)-257(scalars)]TJ/F22 8.2889 Tf 50.027 0 Td [(0)]TJ/F183 9.5641 Tf 7.599 0 Td [(<)-293(\034)]TJ/F22 5.8022 Tf 14.4 -1.434 Td [(1)]TJ/F183 9.5641 Tf 6.657 1.434 Td [(<)-293(\034)]TJ/F22 5.8022 Tf 14.401 -1.434 Td [(2)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(,)-257(and)]TJ/F22 8.2889 Tf 19.955 0 Td [(0)]TJ/F166 7.9701 Tf 7.598 0 Td [(6)]TJ/F183 9.5641 Tf 8.999 0 Td [(\026)]TJ/F40 8.2889 Tf 6.561 0 Td [(,)-257(system)]TJ ET 1 0 0 1 523.043 244.683 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -523.043 -244.683 cm BT /F22 8.2889 Tf 523.043 244.683 Td [(\0501\051)]TJ ET 1 0 0 1 533.967 244.683 cm 0 g 0 G 1 0 0 1 -533.967 -244.683 cm BT /F40 8.2889 Tf 536.095 244.683 Td [(with)]TJ ET 1 0 0 1 301.697 244.683 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -244.683 cm BT /F40 8.2889 Tf 301.697 233.834 Td [(a)-273(time-varying)-272(delay)-273(satisfying)]TJ ET 1 0 0 1 417.837 233.834 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -417.837 -233.834 cm BT /F22 8.2889 Tf 417.837 233.834 Td [(\0502\051)]TJ ET 1 0 0 1 428.762 233.834 cm 0 g 0 G 1 0 0 1 -428.762 -233.834 cm BT /F40 8.2889 Tf 431.021 233.834 Td [(and)]TJ ET 1 0 0 1 447.097 233.834 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -447.097 -233.834 cm BT /F22 8.2889 Tf 447.097 233.834 Td [(\0503\051)]TJ ET 1 0 0 1 458.022 233.834 cm 0 g 0 G 1 0 0 1 -458.022 -233.834 cm BT /F40 8.2889 Tf 460.281 233.834 Td [(is)-273(asym)1(ptotically)-273(stable)-273(if)]TJ ET 1 0 0 1 301.697 233.834 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -233.834 cm BT /F40 8.2889 Tf 301.697 222.985 Td [(there)-252(exist)-253(matrices)-252(P)]TJ/F183 9.5641 Tf 81.081 0 Td [(>)]TJ/F22 8.2889 Tf 10.165 0 Td [(0)]TJ/F40 8.2889 Tf 4.8 0 Td [(,)-252(Q)]TJ/F40 5.8022 Tf 9.626 -1.435 Td [(i)]TJ/F183 9.5641 Tf 4.863 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.166 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-252(i)]TJ/F179 9.5641 Tf 9.049 0 Td [(D)]TJ/F22 8.2889 Tf 10.166 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(2)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(3)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-252(Z)]TJ/F40 5.8022 Tf 8.35 -1.435 Td [(j)]TJ/F183 9.5641 Tf 4.88 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.166 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-252(j)]TJ/F179 9.5641 Tf 9.074 0 Td [(D)]TJ/F22 8.2889 Tf 10.166 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(2)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-252(with)]TJ ET 1 0 0 1 301.697 222.985 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -222.985 cm BT /F40 8.2889 Tf 301.697 212.136 Td [(appropriate)-250(dimensions)-250(such)-250(that)-250(the)-250(following)-250(LMIs)-250(hold:)]TJ ET 1 0 0 1 301.697 212.136 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -212.136 cm BT /F183 9.2055 Tf 301.697 191.461 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(1)]TJ/F179 9.5641 Tf 6.515 1.435 Td [(D)]TJ/F183 9.2055 Tf 10.116 0 Td [(\010)]TJ/F179 9.5641 Tf 9.803 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F179 9.5641 Tf 3.965 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ 9.982 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.396 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(4)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F179 9.5641 Tf 3.965 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ 9.982 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.396 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(4)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.34 0 Td [(0)-11756(\05016\051)]TJ ET 1 0 0 1 301.697 191.461 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -191.461 cm BT /F183 9.2055 Tf 301.697 174.508 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(2)]TJ/F179 9.5641 Tf 6.515 1.435 Td [(D)]TJ/F183 9.2055 Tf 10.116 0 Td [(\010)]TJ/F179 9.5641 Tf 9.803 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F179 9.5641 Tf 3.965 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ 9.982 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.396 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F179 9.5641 Tf 3.965 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ 9.982 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.396 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.34 0 Td [(0)-11756(\05017\051)]TJ ET 1 0 0 1 301.697 174.508 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -174.508 cm BT /F40 8.2889 Tf 301.697 156.127 Td [(where)]TJ ET 1 0 0 1 301.697 156.127 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -156.127 cm BT /F183 9.2055 Tf 301.697 137.746 Td [(\010)]TJ/F179 9.5641 Tf 11.165 0 Td [(D)]TJ/F22 8.2889 Tf 10.947 0.085 Td [([)]TJ/F40 8.2889 Tf 2.992 -0.085 Td [(A)-500(A)]TJ/F22 5.8022 Tf 14.207 -1.435 Td [(1)]TJ/F22 8.2889 Tf 8.002 1.435 Td [(0)-500(0)]TJ 13.743 0.085 Td [(])]TJ/F22 5.8022 Tf 2.992 3.865 Td [(T)]TJ/F183 9.5641 Tf 5.33 -3.95 Td [(.\034)]TJ/F22 5.8022 Tf 8.856 3.95 Td [(2)]TJ -1.148 -6.523 Td [(1)]TJ/F40 8.2889 Tf 5.006 2.573 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ -1.147 -6.523 Td [(12)]TJ/F40 8.2889 Tf 7.217 2.573 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F22 8.2889 Tf 5.161 0.085 Td [([)]TJ/F40 8.2889 Tf 2.993 -0.085 Td [(A)-500(A)]TJ/F22 5.8022 Tf 14.207 -1.435 Td [(1)]TJ/F22 8.2889 Tf 8.002 1.435 Td [(0)-500(0)]TJ 13.743 0.085 Td [(])]TJ ET 1 0 0 1 301.697 137.746 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -137.746 cm BT /F179 9.5641 Tf 323.809 107.876 Td [(C)]TJ/F181 9.5641 Tf 10.648 22.035 Td [(2)]TJ 0 -16.775 Td [(6)]TJ 0 -6.178 Td [(4)]TJ/F183 9.2055 Tf 6.972 16.908 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(11)]TJ/F40 8.2889 Tf 46.461 1.435 Td [(PA)]TJ/F22 5.8022 Tf 9.499 -1.435 Td [(1)]TJ/F40 8.2889 Tf 46.11 1.435 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F22 8.2889 Tf 32.886 1.435 Td [(0)]TJ/F179 9.5641 Tf -141.733 -10.461 Td [(\003)-1526(\000)]TJ/F183 9.5641 Tf 27.039 0 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(1)]TJ/F179 9.5641 Tf 6.924 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\026/)]TJ/F40 8.2889 Tf 10.128 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F22 8.2889 Tf 9.585 0 Td [(2)]TJ/F40 8.2889 Tf 4.8 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F40 8.2889 Tf 16.828 1.435 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F40 8.2889 Tf 31.169 1.435 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F179 9.5641 Tf -144.392 -9.026 Td [(\003)-5026(\003)]TJ/F183 9.2055 Tf 101.462 0 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.434 Td [(33)]TJ/F22 8.2889 Tf 33.238 1.434 Td [(0)]TJ/F179 9.5641 Tf -141.733 -10.461 Td [(\003)-5026(\003)-5025(\003)-1526(\000)]TJ/F40 8.2889 Tf 133.135 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(2)]TJ/F181 9.5641 Tf 3.857 38.862 Td [(3)]TJ 0 -16.775 Td [(7)]TJ 0 -6.178 Td [(5)]TJ ET 1 0 0 1 301.697 107.876 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -107.876 cm BT /F40 8.2889 Tf 301.697 72.893 Td [(with)]TJ/F183 9.2055 Tf 18.661 0 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(11)]TJ/F179 9.5641 Tf 9.873 1.435 Td [(D)]TJ/F40 8.2889 Tf 10.117 0 Td [(PA)]TJ/F179 9.5641 Tf 11.402 0 Td [(C)]TJ/F40 8.2889 Tf 9.363 0 Td [(A)]TJ/F22 5.8022 Tf 5.031 3.472 Td [(T)]TJ/F40 8.2889 Tf 3.736 -3.472 Td [(P)]TJ/F179 9.5641 Tf 7.145 0 Td [(C)]TJ/F40 8.2889 Tf 9.363 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.76 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.363 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(,)]TJ/F183 9.2055 Tf 3.882 0 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(33)]TJ/F179 9.5641 Tf 9.873 1.435 Td [(D)-278(\000)]TJ/F40 8.2889 Tf 17.577 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.76 1.435 Td [(C)]TJ/F40 8.2889 Tf 9.363 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.76 1.435 Td [(C)]TJ/F40 8.2889 Tf 9.363 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.76 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.363 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.76 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[(>)]TJ/F22 8.2889 Tf 10.166 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)]TJ/F179 9.5641 Tf 5.847 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.96 Td [(Q)]TJ/F40 5.8022 Tf 5.653 -1.435 Td [(i)]TJ/F183 9.5641 Tf 4.863 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.166 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-252(i)]TJ/F179 9.5641 Tf 9.05 0 Td [(D)]TJ/F22 8.2889 Tf 10.165 0 Td [(1)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(2)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(3)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)]TJ/F179 9.5641 Tf 4.998 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F40 5.8022 Tf 4.377 -1.435 Td [(j)]TJ/F183 9.5641 Tf 4.881 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.165 0 Td [(0)]TJ/F40 8.2889 Tf 4.8 0 Td [(,)-252(j)]TJ/F179 9.5641 Tf 9.074 0 Td [(D)]TJ/F22 8.2889 Tf 10.166 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(2)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-252(with)]TJ ET 1 0 0 1 42.52 696.757 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -696.757 cm BT /F40 8.2889 Tf 42.52 686.57 Td [(appropriate)-250(dimensions)-250(such)-250(that)-250(the)-250(following)-250(LMIs)-250(hold:)]TJ ET 1 0 0 1 42.52 686.57 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -686.57 cm BT /F179 9.5641 Tf 44.766 668.951 Td [(O)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(1)]TJ/F179 9.5641 Tf 6.514 1.435 Td [(D)]TJ 12.363 1.676 Td [(O)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F179 9.5641 Tf 9.802 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(.)]TJ/F179 9.5641 Tf 3.964 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ 9.982 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(4)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F179 9.5641 Tf 4.592 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F179 9.5641 Tf 3.964 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ 9.982 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(4)]TJ/F183 9.5641 Tf 3.857 2.573 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.341 0 Td [(0)-11756(\05018\051)]TJ ET 1 0 0 1 42.52 667.275 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -667.275 cm BT /F179 9.5641 Tf 44.766 651.276 Td [(O)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.434 Td [(2)]TJ/F179 9.5641 Tf 6.514 1.434 Td [(D)]TJ 12.363 1.676 Td [(O)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F179 9.5641 Tf 9.802 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(.)]TJ/F179 9.5641 Tf 3.964 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ 9.982 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F179 9.5641 Tf 4.592 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.961 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F179 9.5641 Tf 3.964 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(3)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ 9.982 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(2)]TJ/F183 9.5641 Tf 3.857 2.572 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.341 0 Td [(0)-11756(\05019\051)]TJ ET 1 0 0 1 42.52 649.6 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -649.6 cm BT /F40 8.2889 Tf 42.52 633.982 Td [(where)]TJ ET 1 0 0 1 42.52 633.982 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -633.982 cm BT /F179 9.5641 Tf 44.766 602.242 Td [(O)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F179 9.5641 Tf 11.164 0 Td [(D)]TJ/F181 9.5641 Tf 10.947 24.905 Td [(2)]TJ 0 -16.776 Td [(6)]TJ 0 -5.738 Td [(6)]TJ 0 -6.179 Td [(4)]TJ/F179 9.5641 Tf 9.218 23.255 Td [(O)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(11)]TJ/F179 9.5641 Tf 47.103 3.395 Td [(O)]TJ/F40 8.2889 Tf -1.029 -1.96 Td [(P)-93(A)]TJ/F22 5.8022 Tf 10.274 -1.435 Td [(1)]TJ/F179 9.5641 Tf 68.052 3.395 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(1)]TJ/F22 8.2889 Tf 54.191 1.435 Td [(0)]TJ/F179 9.5641 Tf -184.342 -12.262 Td [(\003)-1526(\000)]TJ/F183 9.5641 Tf 27.039 0 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F179 9.5641 Tf 6.925 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\026/)]TJ/F179 9.5641 Tf 12.003 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F22 8.2889 Tf 9.586 0 Td [(2)]TJ/F179 9.5641 Tf 5.824 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F179 9.5641 Tf 39.158 3.395 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F179 9.5641 Tf 53.499 3.395 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F179 9.5641 Tf -187.001 -10.827 Td [(\003)-5026(\003)-4541(\000)]TJ 110.796 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ 10.61 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ 10.61 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F22 8.2889 Tf 29.878 1.435 Td [(0)]TJ/F179 9.5641 Tf -184.342 -12.262 Td [(\003)-5026(\003)-7253(\003)-3753(\000)]TJ 177.619 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ 10.61 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F181 9.5641 Tf 3.858 45.334 Td [(3)]TJ 0 -16.775 Td [(7)]TJ 0 -5.738 Td [(7)]TJ 0 -6.179 Td [(5)]TJ ET 1 0 0 1 42.52 600.566 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -600.566 cm BT /F179 9.5641 Tf 64.631 565.324 Td [(C)]TJ/F22 8.2889 Tf 10.648 0.084 Td [([)]TJ/F40 8.2889 Tf 2.992 -0.084 Td [(A)-500(A)]TJ/F22 5.8022 Tf 14.207 -1.435 Td [(1)]TJ/F22 8.2889 Tf 8.002 1.435 Td [(0)-500(0)]TJ 13.743 0.084 Td [(])]TJ/F22 5.8022 Tf 2.992 3.865 Td [(T)]TJ/F183 9.5641 Tf 5.33 -3.949 Td [(.\034)]TJ/F22 5.8022 Tf 8.856 3.949 Td [(2)]TJ -1.147 -6.522 Td [(1)]TJ/F179 9.5641 Tf 6.03 4.533 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.982 1.435 Td [(C)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ -1.148 -6.523 Td [(12)]TJ/F179 9.5641 Tf 8.242 4.533 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F22 8.2889 Tf 5.162 0.084 Td [([)]TJ/F40 8.2889 Tf 2.992 -0.084 Td [(A)-500(A)]TJ/F22 5.8022 Tf 14.207 -1.435 Td [(1)]TJ/F22 8.2889 Tf 8.002 1.435 Td [(0)-500(0)]TJ 13.743 0.084 Td [(])]TJ ET 1 0 0 1 42.52 565.324 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -565.324 cm BT /F40 8.2889 Tf 42.52 547.2 Td [(with)]TJ/F179 9.5641 Tf 20.979 1.676 Td [(O)]TJ/F183 9.2055 Tf -2.247 -1.676 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(11)]TJ/F179 9.5641 Tf 9.874 1.435 Td [(D)]TJ 11.146 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.029 -1.96 Td [(P)-93(A)]TJ/F179 9.5641 Tf 12.399 0 Td [(C)]TJ/F40 8.2889 Tf 9.585 0 Td [(A)]TJ/F22 5.8022 Tf 5.032 3.472 Td [(T)]TJ/F179 9.5641 Tf 4.764 -1.512 Td [(O)]TJ/F40 8.2889 Tf -1.029 -1.96 Td [(P)]TJ/F179 9.5641 Tf 7.368 0 Td [(C)]TJ 11.46 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ 11.459 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ 11.46 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ 10.61 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(.)]TJ ET 1 0 0 1 42.52 547.2 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -547.2 cm BT /F22 8.2889 Tf 42.52 532.266 Td [(For)]TJ ET 1 0 0 1 58 532.266 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -58 -532.266 cm BT /F22 8.2889 Tf 58 532.266 Td [(Corollary)-382(4)]TJ ET 1 0 0 1 100.942 532.266 cm 0 g 0 G 1 0 0 1 -100.942 -532.266 cm BT /F22 8.2889 Tf 104.106 532.266 Td [(and)]TJ ET 1 0 0 1 121.518 532.266 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -121.518 -532.266 cm BT /F22 8.2889 Tf 121.518 532.266 Td [(Theorem)-382(5)]TJ ET 1 0 0 1 163.63 532.266 cm 0 g 0 G 1 0 0 1 -163.63 -532.266 cm BT /F22 8.2889 Tf 163.63 532.266 Td [(,)-382(the)-381(following)-382(conclusion)-382(can)-381(be)]TJ ET 1 0 0 1 42.52 532.266 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -532.266 cm BT /F22 8.2889 Tf 42.52 522.078 Td [(drawn.)]TJ ET 1 0 0 1 42.52 522.078 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -16.89 cm 0 g 0 G 1 0 0 1 -38.535 -505.188 cm BT /F153 8.2889 Tf 42.52 505.188 Td [(Theorem)-250(6.)]TJ ET 1 0 0 1 87.52 505.188 cm 0 g 0 G 1 0 0 1 -87.52 -505.188 cm BT /F40 8.2889 Tf 91.505 505.188 Td [(If)-195(there)-195(exist)-195(matrices)]TJ/F179 9.5641 Tf 79.338 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.028 -1.96 Td [(P)]TJ/F183 9.5641 Tf 7.899 0 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)]TJ/F179 9.5641 Tf 5.374 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.96 Td [(Q)]TJ/F40 5.8022 Tf 5.653 -1.435 Td [(i)]TJ/F183 9.5641 Tf 4.815 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-195(i)]TJ/F179 9.5641 Tf 8.527 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(2)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(3)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)]TJ/F179 9.5641 Tf 4.524 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.96 Td [(Z)]TJ/F40 5.8022 Tf 4.376 -1.435 Td [(j)]TJ/F183 9.5641 Tf 4.832 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F40 8.2889 Tf 4.8 0 Td [(,)]TJ ET 1 0 0 1 42.52 505.188 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -505.188 cm BT /F40 8.2889 Tf 42.52 495 Td [(j)]TJ/F179 9.5641 Tf 5.052 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(2)]TJ/F40 8.2889 Tf 4.8 0 Td [(,)-242(with)-242(appropriate)-243(dimensions)-242(such)-242(that)]TJ ET 1 0 0 1 219.082 495 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -219.082 -495 cm BT /F22 8.2889 Tf 219.082 495 Td [(\05018\051)]TJ ET 1 0 0 1 234.806 495 cm 0 g 0 G 1 0 0 1 -234.806 -495 cm BT /F40 8.2889 Tf 234.806 495 Td [(\025)]TJ ET 1 0 0 1 239.605 495 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -239.605 -495 cm BT /F22 8.2889 Tf 239.605 495 Td [(\05019\051)]TJ ET 1 0 0 1 255.329 495 cm 0 g 0 G 1 0 0 1 -255.329 -495 cm BT /F40 8.2889 Tf 257.337 495 Td [(hold,)-242(then)]TJ ET 1 0 0 1 42.52 495 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -495 cm BT /F40 8.2889 Tf 42.52 483.128 Td [(the)-288(matrices)-288(P)]TJ/F179 9.5641 Tf 56.337 0 Td [(D)]TJ 11.954 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.029 -1.961 Td [(P)]TJ/F183 9.5641 Tf 8.708 0 Td [(>)]TJ/F22 8.2889 Tf 10.926 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-288(Q)]TJ/F22 5.8022 Tf 9.923 -1.434 Td [(1)]TJ/F179 9.5641 Tf 7.323 1.434 Td [(D)]TJ 12.8 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(1)]TJ/F179 9.5641 Tf 6.306 1.434 Td [(C)]TJ 11.783 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(2)]TJ/F179 9.5641 Tf 6.306 1.434 Td [(C)]TJ 11.784 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(3)]TJ/F183 9.5641 Tf 7.324 1.434 Td [(>)]TJ/F22 8.2889 Tf 10.925 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-288(Q)]TJ/F22 5.8022 Tf 9.923 -1.434 Td [(2)]TJ/F179 9.5641 Tf 7.323 1.434 Td [(D)]TJ 12.8 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(2)]TJ/F183 9.5641 Tf 7.323 1.434 Td [(>)]TJ/F22 8.2889 Tf 10.925 0 Td [(0)]TJ/F40 8.2889 Tf 4.8 0 Td [(,)]TJ ET 1 0 0 1 42.52 483.128 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -483.128 cm BT /F40 8.2889 Tf 42.52 471.521 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(3)]TJ/F179 9.5641 Tf 8.985 1.434 Td [(D)]TJ 14.462 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(3)]TJ/F183 9.5641 Tf 8.986 1.434 Td [(>)]TJ/F22 8.2889 Tf 12.587 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-366(Z)]TJ/F40 5.8022 Tf 9.295 -1.434 Td [(j)]TJ/F179 9.5641 Tf 7.303 1.434 Td [(D)]TJ 13.612 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.961 Td [(Z)]TJ/F40 5.8022 Tf 4.377 -1.434 Td [(j)]TJ/F183 9.5641 Tf 7.302 1.434 Td [(>)]TJ/F22 8.2889 Tf 12.588 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-366(j)]TJ/F179 9.5641 Tf 12.442 0 Td [(D)]TJ/F22 8.2889 Tf 12.587 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(2)]TJ/F40 8.2889 Tf 7.835 0 Td [(are)-366(feasible)-367(solutions)-366(for)]TJ ET 1 0 0 1 42.52 471.521 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.187 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -42.52 -461.334 cm BT /F22 8.2889 Tf 42.52 461.334 Td [(\05016\051)]TJ ET 1 0 0 1 58.244 461.334 cm 0 g 0 G 1 0 0 1 -58.244 -461.334 cm BT /F40 8.2889 Tf 58.244 461.334 Td [(\025)]TJ ET 1 0 0 1 63.043 461.334 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -63.043 -461.334 cm BT /F22 8.2889 Tf 63.043 461.334 Td [(\05017\051)]TJ ET 1 0 0 1 78.767 461.334 cm 0 g 0 G 1 0 0 1 -78.767 -461.334 cm BT /F40 8.2889 Tf 78.767 461.334 Td [(.)]TJ ET 1 0 0 1 42.52 461.334 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -16.205 cm 0 g 0 G 1 0 0 1 -38.535 -445.129 cm BT /F153 8.2889 Tf 42.52 445.129 Td [(Proof.)]TJ ET 1 0 0 1 66.748 445.129 cm 0 g 0 G 1 0 0 1 -66.748 -445.129 cm BT /F22 8.2889 Tf 70.733 445.129 Td [(Suppose)-186(that)-186(there)-187(exist)-186(matrices)]TJ/F179 9.5641 Tf 127.708 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.029 -1.96 Td [(P)]TJ/F183 9.5641 Tf 7.899 0 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(0,)]TJ/F179 9.5641 Tf 10.157 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.96 Td [(Q)]TJ/F40 5.8022 Tf 5.653 -1.435 Td [(i)]TJ/F183 9.5641 Tf 4.814 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(0,)]TJ/F40 8.2889 Tf 8.283 0 Td [(i)]TJ/F179 9.5641 Tf 5.027 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(2)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(3,)]TJ ET 1 0 0 1 42.52 445.129 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -445.129 cm BT /F179 9.5641 Tf 43.544 435.221 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.96 Td [(Z)]TJ/F40 5.8022 Tf 4.376 -1.435 Td [(j)]TJ/F183 9.5641 Tf 5.263 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.548 0 Td [(0,)]TJ/F40 8.2889 Tf 8.979 0 Td [(j)]TJ/F179 9.5641 Tf 5.483 0 Td [(D)]TJ/F22 8.2889 Tf 10.548 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(2,)-270(with)-271(appropriate)-270(dimensions)-270(such)-270(that)]TJ ET 1 0 0 1 257.331 433.26 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -257.331 -433.26 cm BT /F22 8.2889 Tf 257.331 433.26 Td [(\05018\051)]TJ ET 1 0 0 1 273.055 433.26 cm 0 g 0 G 1 0 0 1 -273.055 -433.26 cm BT /F22 8.2889 Tf 273.055 433.26 Td [(\025)]TJ ET 1 0 0 1 277.854 433.26 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -277.854 -433.26 cm BT /F22 8.2889 Tf 277.854 433.26 Td [(\05019\051)]TJ ET 1 0 0 1 293.578 433.26 cm 0 g 0 G 1 0 0 1 -251.058 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -433.26 cm BT /F22 8.2889 Tf 42.52 420.479 Td [(hold,)-250(and)-250(define)]TJ/F40 8.2889 Tf 63.459 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(1)]TJ/F179 9.5641 Tf 6.514 1.434 Td [(D)]TJ 11.991 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(C)]TJ 11.46 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(C)]TJ 11.46 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(3)]TJ/F22 8.2889 Tf 3.858 1.434 Td [(,)-250(then)]TJ ET 1 0 0 1 42.52 420.479 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -420.479 cm BT /F179 9.5641 Tf 44.766 403.125 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.434 Td [(1)]TJ/F179 9.5641 Tf 7.344 1.434 Td [(D)]TJ 13.193 1.676 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F179 9.5641 Tf 9.803 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F179 9.5641 Tf 3.964 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ 9.982 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(4)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F179 9.5641 Tf 4.592 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.961 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F179 9.5641 Tf 3.964 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ 9.982 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(4)]TJ/F183 9.5641 Tf 3.857 2.573 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.341 0 Td [(0)-11555(\05020\051)]TJ ET 1 0 0 1 42.52 401.449 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -401.449 cm BT /F179 9.5641 Tf 44.766 385.451 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(2)]TJ/F179 9.5641 Tf 7.344 1.435 Td [(D)]TJ 13.193 1.676 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F179 9.5641 Tf 9.803 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F179 9.5641 Tf 3.964 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ 9.982 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F179 9.5641 Tf 4.592 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F179 9.5641 Tf 3.964 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ 9.982 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F183 9.5641 Tf 3.857 2.573 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.341 0 Td [(0)-11555(\05021\051)]TJ ET 1 0 0 1 42.52 383.775 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -383.775 cm BT /F22 8.2889 Tf 42.52 368.157 Td [(where)]TJ ET 1 0 0 1 42.52 368.157 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -368.157 cm BT /F179 9.5641 Tf 44.766 336.683 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F179 9.5641 Tf 11.164 0 Td [(D)]TJ/F181 9.5641 Tf 10.947 24.905 Td [(2)]TJ 0 -16.776 Td [(6)]TJ 0 -5.738 Td [(6)]TJ 0 -6.179 Td [(4)]TJ/F179 9.5641 Tf 9.218 22.989 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(11)]TJ/F179 9.5641 Tf 47.103 3.395 Td [(O)]TJ/F40 8.2889 Tf -1.029 -1.96 Td [(P)-93(A)]TJ/F22 5.8022 Tf 10.274 -1.435 Td [(1)]TJ/F179 9.5641 Tf 46.747 3.395 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(1)]TJ/F22 8.2889 Tf 32.886 1.435 Td [(0)]TJ/F179 9.5641 Tf -141.732 -12.262 Td [(\003)-1526(\000)]TJ/F183 9.5641 Tf 27.039 0 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F179 9.5641 Tf 6.925 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\026/)]TJ/F179 9.5641 Tf 12.003 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F22 8.2889 Tf 9.586 0 Td [(2)]TJ/F179 9.5641 Tf 5.824 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F179 9.5641 Tf 17.853 3.395 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F179 9.5641 Tf 32.194 3.395 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F179 9.5641 Tf -144.391 -10.295 Td [(\003)-5026(\003)]TJ 103.708 1.677 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.677 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.434 Td [(33)]TJ/F22 8.2889 Tf 33.237 1.434 Td [(0)]TJ/F179 9.5641 Tf -141.732 -12.262 Td [(\003)-5026(\003)-5025(\003)-1526(\000)]TJ 135.009 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ 10.61 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.961 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(2)]TJ/F181 9.5641 Tf 3.858 45.068 Td [(3)]TJ 0 -16.776 Td [(7)]TJ 0 -5.738 Td [(7)]TJ 0 -6.179 Td [(5)]TJ ET 1 0 0 1 42.52 335.007 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -335.007 cm BT /F179 9.5641 Tf 64.631 300.031 Td [(C)]TJ/F22 8.2889 Tf 10.648 0.085 Td [([)]TJ/F40 8.2889 Tf 2.992 -0.085 Td [(A)-500(A)]TJ/F22 5.8022 Tf 14.207 -1.434 Td [(1)]TJ/F22 8.2889 Tf 8.002 1.434 Td [(0)-500(0)]TJ 13.743 0.085 Td [(])]TJ/F22 5.8022 Tf 2.992 3.865 Td [(T)]TJ/F183 9.5641 Tf 5.33 -3.95 Td [(.\034)]TJ/F22 5.8022 Tf 8.856 3.95 Td [(2)]TJ -1.147 -6.523 Td [(1)]TJ/F179 9.5641 Tf 6.03 4.533 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.982 1.435 Td [(C)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ -1.148 -6.523 Td [(12)]TJ/F179 9.5641 Tf 8.242 4.533 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F22 8.2889 Tf 5.162 0.085 Td [([)]TJ/F40 8.2889 Tf 2.992 -0.085 Td [(A)-500(A)]TJ/F22 5.8022 Tf 14.207 -1.435 Td [(1)]TJ/F22 8.2889 Tf 8.002 1.435 Td [(0)-500(0)]TJ 13.743 0.085 Td [(])]TJ ET 1 0 0 1 42.52 300.031 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -300.031 cm BT /F22 8.2889 Tf 42.52 281.908 Td [(with)]TJ/F179 9.5641 Tf 21.924 1.676 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(11)]TJ/F179 9.5641 Tf 9.874 1.435 Td [(D)]TJ 11.145 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.029 -1.96 Td [(P)-94(A)]TJ/F179 9.5641 Tf 12.044 0 Td [(C)]TJ/F40 8.2889 Tf 9.23 0 Td [(A)]TJ/F22 5.8022 Tf 5.032 3.471 Td [(T)]TJ/F179 9.5641 Tf 4.764 -1.511 Td [(O)]TJ/F40 8.2889 Tf -1.028 -1.96 Td [(P)]TJ/F179 9.5641 Tf 7.012 0 Td [(C)]TJ/F40 8.2889 Tf 9.23 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.628 1.435 Td [(\000)]TJ 10.255 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F22 8.2889 Tf 3.857 1.435 Td [(,)]TJ/F179 9.5641 Tf 6.143 1.676 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(33)]TJ/F179 9.5641 Tf 9.873 1.435 Td [(D)-278(\000)]TJ/F40 8.2889 Tf 17.577 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.628 1.435 Td [(C)]TJ 11.104 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.627 1.435 Td [(C)]TJ 11.105 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.628 1.435 Td [(\000)]TJ 10.255 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.627 1.435 Td [(\000)]TJ 10.255 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F22 8.2889 Tf 3.857 1.435 Td [(.)]TJ ET 1 0 0 1 42.52 281.908 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -281.908 cm BT /F22 8.2889 Tf 42.52 270.301 Td [(It)-265(is)-264(clear)-265(that)]TJ/F40 8.2889 Tf 54.619 0 Td [(P)]TJ/F179 9.5641 Tf 8.21 0 Td [(D)]TJ 11.456 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.029 -1.96 Td [(P)]TJ/F183 9.5641 Tf 8.21 0 Td [(>)]TJ/F22 8.2889 Tf 10.428 0 Td [(0,)]TJ/F40 8.2889 Tf 8.932 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 6.825 1.435 Td [(D)]TJ 12.302 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 6.108 1.435 Td [(C)]TJ 11.584 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F179 9.5641 Tf 6.107 1.435 Td [(C)]TJ 11.584 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F183 9.5641 Tf 6.825 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.427 0 Td [(0,)]TJ/F40 8.2889 Tf 8.933 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F179 9.5641 Tf 6.825 1.435 Td [(D)]TJ 12.301 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F183 9.5641 Tf 6.825 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.427 0 Td [(0,)]TJ ET 1 0 0 1 42.52 270.301 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -270.301 cm BT /F40 8.2889 Tf 42.52 258.694 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F179 9.5641 Tf 8.572 1.435 Td [(D)]TJ 14.05 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F183 9.5641 Tf 8.572 1.435 Td [(>)]TJ/F22 8.2889 Tf 12.176 0 Td [(0,)]TJ/F40 8.2889 Tf 9.614 0 Td [(Z)]TJ/F40 5.8022 Tf 4.377 -1.435 Td [(j)]TJ/F179 9.5641 Tf 6.89 1.435 Td [(D)]TJ 13.2 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F40 5.8022 Tf 4.377 -1.435 Td [(j)]TJ/F183 9.5641 Tf 6.89 1.435 Td [(>)]TJ/F22 8.2889 Tf 12.175 0 Td [(0,)]TJ/F40 8.2889 Tf 9.615 0 Td [(j)]TJ/F179 9.5641 Tf 7.11 0 Td [(D)]TJ/F22 8.2889 Tf 12.175 0 Td [(1)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(2)-347(are)-347(feasible)-347(solutions)-346(for)]TJ ET 1 0 0 1 42.52 258.694 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.188 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -42.52 -248.506 cm BT /F22 8.2889 Tf 42.52 248.506 Td [(\05016\051)]TJ ET 1 0 0 1 58.244 248.506 cm 0 g 0 G 1 0 0 1 -58.244 -248.506 cm BT /F22 8.2889 Tf 58.244 248.506 Td [(\025)]TJ ET 1 0 0 1 63.043 248.506 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -63.043 -248.506 cm BT /F22 8.2889 Tf 63.043 248.506 Td [(\05017\051)]TJ ET 1 0 0 1 78.767 248.506 cm 0 g 0 G 1 0 0 1 -78.767 -248.506 cm BT /F22 8.2889 Tf 78.767 248.506 Td [(.)-250(The)-250(proof)-250(is)-250(completed.)]TJ/F166 7.9701 Tf 105.857 0 Td [(\003)]TJ ET 1 0 0 1 42.52 248.506 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -248.506 cm BT /F22 8.2889 Tf 54.475 233.572 Td [(In)-212(many)-213(circumstances,)-212(the)-213(information)-212(on)-212(the)-213(delay)-212(derivative)]TJ ET 1 0 0 1 42.52 233.572 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -233.572 cm BT /F22 8.2889 Tf 42.52 223.385 Td [(may)-423(not)-423(be)-424(available.)-424(For)-423(this)-423(case,)-424(the)-423(following)-423(result)-423(can)-424(be)]TJ ET 1 0 0 1 42.52 223.385 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -223.385 cm BT /F22 8.2889 Tf 42.52 213.197 Td [(obtained)-250(from)]TJ ET 1 0 0 1 98.892 213.197 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -98.892 -213.197 cm BT /F22 8.2889 Tf 98.892 213.197 Td [(Theorem)-250(2)]TJ ET 1 0 0 1 139.914 213.197 cm 0 g 0 G 1 0 0 1 -139.914 -213.197 cm BT /F22 8.2889 Tf 141.986 213.197 Td [(by)-250(setting)]TJ/F40 8.2889 Tf 39.728 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(3)]TJ/F179 9.5641 Tf 6.514 1.434 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0.)]TJ ET 1 0 0 1 42.52 213.197 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -18.489 cm 0 g 0 G 1 0 0 1 -38.535 -194.708 cm BT /F153 8.2889 Tf 42.52 194.708 Td [(Corollary)-250(7.)]TJ ET 1 0 0 1 88.506 194.708 cm 0 g 0 G 1 0 0 1 -88.506 -194.708 cm BT /F40 8.2889 Tf 92.491 194.708 Td [(Given)-359(scalars)]TJ/F22 8.2889 Tf 51.721 0 Td [(0)]TJ/F183 9.5641 Tf 9.769 0 Td [(<)-520(\034)]TJ/F22 5.8022 Tf 16.572 -1.435 Td [(1)]TJ/F183 9.5641 Tf 8.828 1.435 Td [(<)-520(\034)]TJ/F22 5.8022 Tf 16.572 -1.435 Td [(2)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(,)-359(system)]TJ ET 1 0 0 1 232.824 194.708 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -232.824 -194.708 cm BT /F22 8.2889 Tf 232.824 194.708 Td [(\0501\051)]TJ ET 1 0 0 1 243.749 194.708 cm 0 g 0 G 1 0 0 1 -243.749 -194.708 cm BT /F40 8.2889 Tf 246.723 194.708 Td [(with)-359(a)-359(time-)]TJ ET 1 0 0 1 42.52 194.708 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -194.708 cm BT /F40 8.2889 Tf 42.52 184.52 Td [(varying)-482(delay)-483(satisfying)]TJ ET 1 0 0 1 137.374 184.52 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -137.374 -184.52 cm BT /F22 8.2889 Tf 137.374 184.52 Td [(\0502\051)]TJ ET 1 0 0 1 148.298 184.52 cm 0 g 0 G 1 0 0 1 -148.298 -184.52 cm BT /F40 8.2889 Tf 152.297 184.52 Td [(is)-482(asymptotically)-483(stable)-482(if)-482(there)-483(exist)]TJ ET 1 0 0 1 42.52 184.52 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -184.52 cm BT /F40 8.2889 Tf 42.52 174.333 Td [(matrices)-421(P)]TJ/F179 9.5641 Tf 46.281 0 Td [(D)]TJ/F181 9.5641 Tf 13.746 7.69 Td [(\002)]TJ/F40 8.2889 Tf 3.768 -7.69 Td [(P)]TJ/F40 5.8022 Tf 4.468 -1.434 Td [(ij)]TJ/F181 9.5641 Tf 3.835 9.124 Td [(\003)]TJ/F22 5.8022 Tf 3.768 -11.372 Td [(5)]TJ/F179 6.6948 Tf 3.359 0 Td [(\002)]TJ/F22 5.8022 Tf 5.249 0 Td [(5)]TJ/F183 9.5641 Tf 10.143 3.682 Td [(>)]TJ/F22 8.2889 Tf 13.746 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-421(Q)]TJ/F40 5.8022 Tf 11.024 -1.434 Td [(i)]TJ/F183 9.5641 Tf 8.443 1.434 Td [(>)]TJ/F22 8.2889 Tf 13.746 0 Td [(0)]TJ/F40 8.2889 Tf 4.8 0 Td [(,)-421(i)]TJ/F179 9.5641 Tf 14.027 0 Td [(D)]TJ/F22 8.2889 Tf 13.746 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(2)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(4)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(5)]TJ/F40 8.2889 Tf 4.8 0 Td [(,)-421(Z)]TJ/F40 5.8022 Tf 9.747 -1.434 Td [(j)]TJ/F183 9.5641 Tf 8.461 1.434 Td [(>)]TJ/F22 8.2889 Tf 13.745 0 Td [(0)]TJ/F40 8.2889 Tf 4.8 0 Td [(,)]TJ ET 1 0 0 1 42.52 174.333 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -174.333 cm BT /F40 8.2889 Tf 42.52 162.738 Td [(j)]TJ/F179 9.5641 Tf 7.195 0 Td [(D)]TJ/F22 8.2889 Tf 12.26 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)-167(:)-166(:)-167(:)-167(;)]TJ/F22 8.2889 Tf 22.192 0 Td [(4)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-351(R)]TJ/F22 5.8022 Tf 9.656 -1.435 Td [(1)]TJ/F183 9.5641 Tf 8.657 1.435 Td [(>)]TJ/F22 8.2889 Tf 12.26 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-351(R)]TJ/F22 5.8022 Tf 9.656 -1.435 Td [(2)]TJ/F183 9.5641 Tf 8.658 1.435 Td [(>)]TJ/F22 8.2889 Tf 12.26 0 Td [(0)]TJ/F40 8.2889 Tf 7.707 0 Td [(with)-351(appropriate)-351(dimensions)-350(such)]TJ ET 1 0 0 1 42.52 162.738 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -162.738 cm BT /F40 8.2889 Tf 42.52 152.551 Td [(that)-250(the)-250(following)-250(LMIs)-250(hold:)]TJ ET 1 0 0 1 42.52 152.551 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -152.551 cm BT /F179 9.5641 Tf 44.95 135.216 Td [(O)]TJ/F183 9.2055 Tf -2.43 -1.676 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(1)]TJ/F179 9.5641 Tf 8.839 1.435 Td [(D)]TJ/F183 9.2055 Tf 12.441 0 Td [(\000)]TJ/F40 8.2889 Tf 7.567 0 Td [(P)]TJ/F183 9.2055 Tf 5.242 0 Td [(\007)]TJ/F22 5.8022 Tf 7.742 3.95 Td [(T)]TJ/F179 9.5641 Tf 5.861 -3.95 Td [(C)]TJ/F183 9.2055 Tf 9.586 0 Td [(\007)]TJ/F40 8.2889 Tf 7.741 0 Td [(P)]TJ/F183 9.2055 Tf 5.243 0 Td [(\000)]TJ/F22 5.8022 Tf 7.567 3.95 Td [(T)]TJ/F179 9.5641 Tf 5.861 -3.95 Td [(C)]TJ 11.657 1.676 Td [(O)]TJ/F183 9.2055 Tf -2.072 -1.676 Td [(\003)]TJ/F179 9.5641 Tf 9.453 0 Td [(C)]TJ/F40 8.2889 Tf 9.586 0 Td [(A)]TJ/F22 5.8022 Tf 5.031 3.95 Td [(T)]TJ/F40 5.8022 Tf 0 -6.523 Td [(c)]TJ/F40 8.2889 Tf 3.736 2.573 Td [(YA)]TJ/F40 5.8022 Tf 9.747 -1.435 Td [(c)]TJ/F179 9.5641 Tf 5.644 1.435 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)]TJ/F179 9.5641 Tf -198.48 -12.537 Td [(\000)]TJ/F22 8.2889 Tf 9.054 0 Td [(2)]TJ/F183 9.5641 Tf 4.799 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(4)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(4)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)]TJ/F179 9.5641 Tf 5.692 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F183 9.5641 Tf 3.857 2.573 Td [(/)]TJ/F179 9.5641 Tf -176.536 -12.538 Td [(\000)]TJ/F40 8.2889 Tf 9.054 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(8)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(8)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F22 8.2889 Tf 9.585 0 Td [(2)]TJ/F40 8.2889 Tf 4.799 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(9)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.522 Td [(9)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.434 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(7)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.434 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.434 Td [(1)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(7)]TJ/F183 9.5641 Tf 3.858 2.572 Td [(/)]TJ/F179 9.5641 Tf -175.277 -12.537 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.434 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(8)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(9)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.434 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(8)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(9)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.34 0 Td [(0)-4925(\05022\051)]TJ ET 1 0 0 1 42.52 95.928 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -95.928 cm BT /F179 9.5641 Tf 44.95 79.649 Td [(O)]TJ/F183 9.2055 Tf -2.43 -1.677 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.434 Td [(2)]TJ/F179 9.5641 Tf 8.839 1.434 Td [(D)]TJ/F183 9.2055 Tf 12.441 0 Td [(\000)]TJ/F40 8.2889 Tf 7.567 0 Td [(P)]TJ/F183 9.2055 Tf 5.242 0 Td [(\007)]TJ/F22 5.8022 Tf 7.742 3.95 Td [(T)]TJ/F179 9.5641 Tf 5.861 -3.95 Td [(C)]TJ/F183 9.2055 Tf 9.586 0 Td [(\007)]TJ/F40 8.2889 Tf 7.741 0 Td [(P)]TJ/F183 9.2055 Tf 5.243 0 Td [(\000)]TJ/F22 5.8022 Tf 7.567 3.95 Td [(T)]TJ/F179 9.5641 Tf 5.861 -3.95 Td [(C)]TJ 11.657 1.677 Td [(O)]TJ/F183 9.2055 Tf -2.072 -1.677 Td [(\003)]TJ/F179 9.5641 Tf 9.453 0 Td [(C)]TJ/F40 8.2889 Tf 9.586 0 Td [(A)]TJ/F22 5.8022 Tf 5.031 3.95 Td [(T)]TJ/F40 5.8022 Tf 0 -6.522 Td [(c)]TJ/F40 8.2889 Tf 3.736 2.572 Td [(YA)]TJ/F40 5.8022 Tf 9.747 -1.434 Td [(c)]TJ/F179 9.5641 Tf 5.644 1.434 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(3)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.522 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(3)]TJ/F183 9.5641 Tf 3.858 2.572 Td [(/)]TJ/F179 9.5641 Tf -198.48 -12.537 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(4)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(4)]TJ/F183 9.5641 Tf 3.857 2.573 Td [(/)]TJ/F179 9.5641 Tf 5.693 0 Td [(\000)]TJ/F22 8.2889 Tf 9.585 0 Td [(2)]TJ/F183 9.5641 Tf 4.8 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F183 9.5641 Tf 3.857 2.573 Td [(/)]TJ/F179 9.5641 Tf -176.536 -12.537 Td [(\000)]TJ/F22 8.2889 Tf 9.054 0 Td [(2)]TJ/F40 8.2889 Tf 4.799 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(8)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(4)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(8)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(9)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(4)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(9)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(7)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(7)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)]TJ/F179 9.5641 Tf -175.277 -12.537 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.435 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(8)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(9)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.435 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(8)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(9)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.34 0 Td [(0)-4925(\05023\051)]TJ ET 1 0 0 1 42.52 40.361 cm 0 g 0 G 0 g 0 G 1 0 0 1 260.025 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 8.966 690.411 cm 0 g 0 G 1 0 0 1 -311.511 -730.772 cm BT /F153 6.6311 Tf 311.511 722.204 Td [(Table)-250(1)]TJ/F22 6.6311 Tf 0 -8.568 Td [(MUBDs)-250(with)-250(given)]TJ/F183 7.6513 Tf 58.493 0 Td [(\034)]TJ/F22 4.6417 Tf 3.313 -1.148 Td [(1)]TJ/F22 6.6311 Tf 4.843 1.148 Td [(for)-250(different)]TJ/F183 7.6513 Tf 38.54 0 Td [(\026)]TJ/F22 6.6311 Tf 6.906 0 Td [(for)]TJ ET 1 0 0 1 433.951 713.636 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -433.951 -713.636 cm BT /F22 6.6311 Tf 433.951 713.636 Td [(Example)-250(8)]TJ ET 1 0 0 1 465.886 713.636 cm 0 g 0 G 1 0 0 1 -465.886 -713.636 cm BT /F22 6.6311 Tf 465.886 713.636 Td [(.)]TJ ET 1 0 0 1 311.511 699.625 cm .95 g .95 G .95 g .95 G q 1 0 0 1 0 -6.249 cm 0 0 251.059 16.323 re f Q .95 g .95 G 0 g 0 G q 1 0 0 1 0 9.875 cm []0 d 0 J 0.398 w 0 0 m 251.059 0 l S Q 1 0 0 1 -311.511 -699.625 cm BT /F183 7.6513 Tf 317.489 700.713 Td [(\034)]TJ/F22 4.6417 Tf 3.313 -1.148 Td [(1)]TJ/F22 6.6311 Tf 37.931 1.148 Td [(Methods)]TJ/F183 7.6513 Tf 63.678 0 Td [(\026)]TJ/F179 7.6513 Tf 7.374 0 Td [(D)]TJ/F22 6.6311 Tf 8.093 0 Td [(0)]TJ/F183 7.6513 Tf 3.839 0 Td [(:)]TJ/F22 6.6311 Tf 2.104 0 Td [(3)]TJ/F183 7.6513 Tf 35.171 0 Td [(\026)]TJ/F179 7.6513 Tf 7.374 0 Td [(D)]TJ/F22 6.6311 Tf 8.093 0 Td [(0)]TJ/F183 7.6513 Tf 3.84 0 Td [(:)]TJ/F22 6.6311 Tf 2.104 0 Td [(5)]TJ/F183 7.6513 Tf 31.185 0 Td [(\026)]TJ/F179 7.6513 Tf 7.374 0 Td [(D)]TJ/F22 6.6311 Tf 8.093 0 Td [(0)]TJ/F183 7.6513 Tf 3.84 0 Td [(:)]TJ/F22 6.6311 Tf 2.104 0 Td [(9)]TJ ET q 1 0 0 1 311.511 696.947 cm []0 d 0 J 0.398 w 0 0 m 251.059 0 l S Q 1 0 0 1 562.57 699.625 cm 0 g 0 G 0 g 0 G 1 0 0 1 -251.059 -73.646 cm .95 g .95 G .95 g .95 G q 1 0 0 1 0 -64.568 cm 0 0 251.059 131.965 re f Q .95 g .95 G 0 g 0 G 1 0 0 1 -311.511 -625.979 cm BT /F22 6.6311 Tf 317.489 687.379 Td [(2)]TJ ET 1 0 0 1 358.733 687.379 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -687.379 cm BT /F22 6.6311 Tf 358.733 687.379 Td [(Shao)]TJ ET 1 0 0 1 373.434 687.379 cm 0 g 0 G 1 0 0 1 1.658 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -375.092 -687.379 cm BT /F22 6.6311 Tf 375.091 687.379 Td [(\050)]TJ ET 1 0 0 1 377.545 687.379 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -377.545 -687.379 cm BT /F22 6.6311 Tf 377.545 687.379 Td [(2009)]TJ ET 1 0 0 1 392.903 687.379 cm 0 g 0 G 1 0 0 1 -392.903 -687.379 cm BT /F22 6.6311 Tf 392.903 687.379 Td [(\051)-4081(2.6972)-5403(2.5048)-4801(2.5048)]TJ ET 1 0 0 1 358.733 678.811 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -678.811 cm BT /F22 6.6311 Tf 358.733 678.811 Td [(Corollary)-250(4)]TJ ET 1 0 0 1 392.213 678.811 cm 0 g 0 G 1 0 0 1 -392.213 -678.811 cm BT /F22 6.6311 Tf 422.411 678.811 Td [(2.9157)-5403(2.5048)-4801(2.5048)]TJ ET 1 0 0 1 358.733 670.243 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -670.243 cm BT /F22 6.6311 Tf 358.733 670.243 Td [(Theorem)-250(2)]TJ ET 1 0 0 1 391.55 670.243 cm 0 g 0 G 1 0 0 1 -391.55 -670.243 cm BT /F22 6.6311 Tf 422.411 670.243 Td [(3.0129)-5403(2.5663)-4801(2.5663)]TJ -104.922 -17.554 Td [(3)]TJ ET 1 0 0 1 358.733 652.689 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -652.689 cm BT /F22 6.6311 Tf 358.733 652.689 Td [(Shao)]TJ ET 1 0 0 1 373.434 652.689 cm 0 g 0 G 1 0 0 1 1.658 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -375.092 -652.689 cm BT /F22 6.6311 Tf 375.091 652.689 Td [(\050)]TJ ET 1 0 0 1 377.545 652.689 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -377.545 -652.689 cm BT /F22 6.6311 Tf 377.545 652.689 Td [(2009)]TJ ET 1 0 0 1 392.903 652.689 cm 0 g 0 G 1 0 0 1 -392.903 -652.689 cm BT /F22 6.6311 Tf 392.903 652.689 Td [(\051)-4081(3.2591)-5403(3.2591)-4801(3.2591)]TJ ET 1 0 0 1 358.733 644.121 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -644.121 cm BT /F22 6.6311 Tf 358.733 644.121 Td [(Corollary)-250(4)]TJ ET 1 0 0 1 392.213 644.121 cm 0 g 0 G 1 0 0 1 -392.213 -644.121 cm BT /F22 6.6311 Tf 422.411 644.121 Td [(3.2591)-5403(3.2591)-4801(3.2591)]TJ ET 1 0 0 1 358.733 635.553 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -635.553 cm BT /F22 6.6311 Tf 358.733 635.553 Td [(Theorem)-250(2)]TJ ET 1 0 0 1 391.55 635.553 cm 0 g 0 G 1 0 0 1 -391.55 -635.553 cm BT /F22 6.6311 Tf 422.411 635.553 Td [(3.3408)-5403(3.3408)-4801(3.3408)]TJ -104.922 -17.554 Td [(4)]TJ ET 1 0 0 1 358.733 617.999 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -617.999 cm BT /F22 6.6311 Tf 358.733 617.999 Td [(Shao)]TJ ET 1 0 0 1 373.434 617.999 cm 0 g 0 G 1 0 0 1 1.658 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -375.092 -617.999 cm BT /F22 6.6311 Tf 375.091 617.999 Td [(\050)]TJ ET 1 0 0 1 377.545 617.999 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -377.545 -617.999 cm BT /F22 6.6311 Tf 377.545 617.999 Td [(2009)]TJ ET 1 0 0 1 392.903 617.999 cm 0 g 0 G 1 0 0 1 -392.903 -617.999 cm BT /F22 6.6311 Tf 392.903 617.999 Td [(\051)-4081(4.0744)-5403(4.0744)-4801(4.0744)]TJ ET 1 0 0 1 358.733 609.431 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -609.431 cm BT /F22 6.6311 Tf 358.733 609.431 Td [(Corollary)-250(4)]TJ ET 1 0 0 1 392.213 609.431 cm 0 g 0 G 1 0 0 1 -392.213 -609.431 cm BT /F22 6.6311 Tf 422.411 609.431 Td [(4.0744)-5403(4.0744)-4801(4.0744)]TJ ET 1 0 0 1 358.733 600.863 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -600.863 cm BT /F22 6.6311 Tf 358.733 600.863 Td [(Theorem)-250(2)]TJ ET 1 0 0 1 391.55 600.863 cm 0 g 0 G 1 0 0 1 -391.55 -600.863 cm BT /F22 6.6311 Tf 422.411 600.863 Td [(4.1690)-5403(4.1690)-4801(4.1690)]TJ -104.922 -17.554 Td [(5)]TJ ET 1 0 0 1 358.733 583.309 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -583.309 cm BT /F22 6.6311 Tf 358.733 583.309 Td [(Shao)]TJ ET 1 0 0 1 373.434 583.309 cm 0 g 0 G 1 0 0 1 1.658 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -375.092 -583.309 cm BT /F22 6.6311 Tf 375.091 583.309 Td [(\050)]TJ ET 1 0 0 1 377.545 583.309 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -377.545 -583.309 cm BT /F22 6.6311 Tf 377.545 583.309 Td [(2009)]TJ ET 1 0 0 1 392.903 583.309 cm 0 g 0 G 1 0 0 1 -392.903 -583.309 cm BT /F22 6.6311 Tf 392.903 583.309 Td [(\051)-4081(\025)-7954(\025)-7352(\025)]TJ ET 1 0 0 1 358.733 574.741 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -574.741 cm BT /F22 6.6311 Tf 358.733 574.741 Td [(Corollary)-250(4)]TJ ET 1 0 0 1 392.213 574.741 cm 0 g 0 G 1 0 0 1 -392.213 -574.741 cm BT /F22 6.6311 Tf 422.411 574.741 Td [(\025)-7954(\025)-7352(\025)]TJ ET 1 0 0 1 358.733 566.174 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -566.174 cm BT /F22 6.6311 Tf 358.733 566.174 Td [(Theorem)-250(2)]TJ ET 1 0 0 1 391.55 566.174 cm 0 g 0 G 1 0 0 1 -391.55 -566.174 cm BT /F22 6.6311 Tf 422.411 566.174 Td [(5.0275)-5403(5.0275)-4801(5.0275)]TJ ET q 1 0 0 1 311.511 561.411 cm []0 d 0 J 0.398 w 0 0 m 251.059 0 l S Q 1 0 0 1 311.511 561.411 cm 1 g 1 G 1 g 1 G 1 g 1 G 0 g 0 G 0 g 0 G 0 g 0 G 1 0 0 1 251.059 64.568 cm 0 g 0 G 0 g 0 G 1 0 0 1 -251.059 -64.568 cm 0 g 0 G 1 0 0 1 0 -10.353 cm 0 g 0 G 1 0 0 1 -311.511 -551.058 cm BT /F153 6.6311 Tf 311.511 542.49 Td [(Table)-250(2)]TJ/F22 6.6311 Tf 0 -8.567 Td [(MUBDs)-250(for)-250(various)]TJ/F183 7.6513 Tf 58.758 0 Td [(\034)]TJ/F22 4.6417 Tf 3.313 -1.148 Td [(1)]TJ/F22 6.6311 Tf 4.843 1.148 Td [(and)-250(unknown)]TJ/F183 7.6513 Tf 43.898 0 Td [(\026)]TJ/F22 6.6311 Tf 6.906 0 Td [(for)]TJ ET 1 0 0 1 439.574 533.923 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -439.574 -533.923 cm BT /F22 6.6311 Tf 439.574 533.923 Td [(Example)-250(8)]TJ ET 1 0 0 1 471.509 533.923 cm 0 g 0 G 1 0 0 1 -471.509 -533.923 cm BT /F22 6.6311 Tf 471.509 533.923 Td [(.)]TJ ET 1 0 0 1 311.511 519.912 cm .95 g .95 G .95 g .95 G q 1 0 0 1 0 -6.249 cm 0 0 251.059 16.323 re f Q .95 g .95 G 0 g 0 G q 1 0 0 1 0 9.875 cm []0 d 0 J 0.398 w 0 0 m 251.059 0 l S Q 1 0 0 1 -311.511 -519.912 cm BT /F22 6.6311 Tf 317.489 521 Td [(Methods)]TJ/F183 7.6513 Tf 52.572 0 Td [(\034)]TJ/F22 4.6417 Tf 3.313 -1.148 Td [(1)]TJ/F22 6.6311 Tf 26.826 1.148 Td [(2)-6239(3)-6239(4)-6240(5)]TJ ET q 1 0 0 1 311.511 517.234 cm []0 d 0 J 0.398 w 0 0 m 251.059 0 l S Q 1 0 0 1 562.57 519.912 cm 0 g 0 G 0 g 0 G 1 0 0 1 -251.059 -17.327 cm .95 g .95 G .95 g .95 G q 1 0 0 1 0 -9.365 cm 0 0 251.059 20.443 re f Q .95 g .95 G 0 g 0 G 1 0 0 1 5.978 5.081 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -317.489 -507.666 cm BT /F22 6.6311 Tf 317.489 507.666 Td [(Shao)]TJ ET 1 0 0 1 332.19 507.666 cm 0 g 0 G 1 0 0 1 1.657 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -333.847 -507.666 cm BT /F22 6.6311 Tf 333.847 507.666 Td [(\050)]TJ ET 1 0 0 1 336.301 507.666 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -336.301 -507.666 cm BT /F22 6.6311 Tf 336.301 507.666 Td [(2009)]TJ ET 1 0 0 1 351.658 507.666 cm 0 g 0 G 1 0 0 1 -351.658 -507.666 cm BT /F22 6.6311 Tf 351.658 507.666 Td [(\051)]TJ/F183 7.6513 Tf 18.403 0 Td [(\034)]TJ/F22 4.6417 Tf 3.313 -1.148 Td [(2)]TJ/F22 6.6311 Tf 26.826 1.148 Td [(2.5048)-3688(3.2591)-3688(4.0744)-3689(\025)]TJ ET 1 0 0 1 317.489 499.098 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -317.489 -499.098 cm BT /F22 6.6311 Tf 317.489 499.098 Td [(Corollary)-250(7)]TJ ET 1 0 0 1 350.969 499.098 cm 0 g 0 G 1 0 0 1 -350.969 -499.098 cm BT /F183 7.6513 Tf 370.061 499.098 Td [(\034)]TJ/F22 4.6417 Tf 3.313 -1.148 Td [(2)]TJ/F22 6.6311 Tf 26.826 1.148 Td [(2.5663)-3688(3.3408)-3688(4.1690)-3689(5.0275)]TJ ET q 1 0 0 1 311.511 494.336 cm []0 d 0 J 0.398 w 0 0 m 251.059 0 l S Q 1 0 0 1 311.511 493.22 cm 1 g 1 G 1 g 1 G 1 g 1 G 0 g 0 G 0 g 0 G 0 g 0 G 1 0 0 1 251.059 9.365 cm 0 g 0 G 0 g 0 G 1 0 0 1 -251.059 -9.365 cm 0 g 0 G 1 0 0 1 -311.511 -493.22 cm BT /F40 8.2889 Tf 311.511 472.904 Td [(where)]TJ/F183 9.2055 Tf 24.302 0 Td [(\000)]TJ/F40 8.2889 Tf 7.567 0 Td [(,)]TJ/F183 9.2055 Tf 3.579 0 Td [(\007)]TJ/F40 8.2889 Tf 7.742 0 Td [(,)-205(Y)-343(and)-205(A)]TJ/F40 5.8022 Tf 31.689 -1.435 Td [(c)]TJ/F40 8.2889 Tf 5.216 1.435 Td [(are)-205(the)-205(same)-205(as)-204(those)-205(defined)-205(in)]TJ ET 1 0 0 1 506.879 472.904 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -506.879 -472.904 cm BT /F40 8.2889 Tf 506.879 472.904 Td [(Theorem)]TJ/F22 8.2889 Tf 33.494 0 Td [(2)]TJ ET 1 0 0 1 545.172 472.904 cm 0 g 0 G 1 0 0 1 -545.172 -472.904 cm BT /F40 8.2889 Tf 545.172 472.904 Td [(,)-205(and)]TJ ET 1 0 0 1 311.511 472.904 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -472.904 cm BT /F179 9.5641 Tf 313.582 462.992 Td [(O)]TJ/F183 9.2055 Tf -2.071 -1.676 Td [(\003)]TJ/F179 9.5641 Tf 9.984 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(diag)]TJ/F179 9.5641 Tf 16.205 0 Td [(f)]TJ/F40 8.2889 Tf 3.538 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 4.557 1.435 Td [(C)]TJ/F183 9.5641 Tf 8.159 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.52 Td [(2)]TJ -1.148 -6.213 Td [(1)]TJ/F40 8.2889 Tf 5.006 2.693 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(3)]TJ/F179 9.5641 Tf 4.557 1.435 Td [(C)]TJ/F183 9.5641 Tf 8.159 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.52 Td [(2)]TJ -1.148 -6.213 Td [(12)]TJ/F40 8.2889 Tf 7.217 2.693 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(4)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(;)]TJ/F22 8.2889 Tf 6.368 0 Td [(0)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F179 9.5641 Tf 7.068 0 Td [(\000)]TJ/F40 8.2889 Tf 8.159 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 4.557 1.435 Td [(C)]TJ/F40 8.2889 Tf 8.159 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(;)]TJ/F179 9.5641 Tf 4.759 0 Td [(\000)]TJ/F40 8.2889 Tf 7.46 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(;)]TJ/F179 9.5641 Tf 7.068 0 Td [(\000)]TJ/F40 8.2889 Tf 8.159 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(4)]TJ/F179 9.5641 Tf 4.557 1.435 Td [(C)]TJ/F40 8.2889 Tf 8.159 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(5)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(;)]TJ/F179 9.5641 Tf 7.068 0 Td [(\000)]TJ/F40 8.2889 Tf 8.159 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(5)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(;)]TJ ET 1 0 0 1 311.511 461.316 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -461.316 cm BT /F179 9.5641 Tf 311.511 450.882 Td [(\000)]TJ/F40 8.2889 Tf 7.46 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(3)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(;)]TJ/F22 8.2889 Tf 6.832 0 Td [(0)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 6.832 0 Td [(0)]TJ/F179 9.5641 Tf 4.799 0 Td [(g)]TJ/F40 8.2889 Tf 3.539 0 Td [(.)]TJ ET 1 0 0 1 311.511 450.882 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -450.882 cm BT /F153 8.2889 Tf 311.511 427.82 Td [(3.)-500(Numerical)-250(examples)]TJ ET 1 0 0 1 311.511 427.82 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -427.82 cm BT /F22 8.2889 Tf 323.466 406.993 Td [(In)-492(this)-492(section,)-492(two)-491(numerical)-492(examples)-492(are)-492(given)-492(to)-491(show)]TJ ET 1 0 0 1 311.511 406.993 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -406.993 cm BT /F22 8.2889 Tf 311.511 396.559 Td [(that)-312(results)-311(proposed)-312(in)-311(this)-312(paper)-311(are)-312(less)-311(conservative)-312(than)-312(the)]TJ ET 1 0 0 1 311.511 396.559 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -396.559 cm BT /F22 8.2889 Tf 311.511 386.125 Td [(existing)-250(ones.)]TJ ET 1 0 0 1 311.511 386.125 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -20.462 cm 0 g 0 G 1 0 0 1 -307.526 -365.663 cm BT /F153 8.2889 Tf 311.511 365.663 Td [(Example)-250(8.)]TJ ET 1 0 0 1 355.135 365.663 cm 0 g 0 G 1 0 0 1 -355.135 -365.663 cm BT /F22 8.2889 Tf 359.12 365.663 Td [(Consider)-300(the)-301(following)-300(system)-301(\050)]TJ ET 1 0 0 1 481.521 365.663 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -481.521 -365.663 cm BT /F22 8.2889 Tf 481.521 365.663 Td [(He)]TJ ET 1 0 0 1 492.064 365.663 cm 0 g 0 G 1 0 0 1 2.491 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -494.555 -365.663 cm BT /F22 8.2889 Tf 494.555 365.663 Td [(et)-300(al.)]TJ ET 1 0 0 1 513.217 365.663 cm 0 g 0 G 1 0 0 1 -513.217 -365.663 cm BT /F22 8.2889 Tf 513.217 365.663 Td [(,)]TJ ET 1 0 0 1 515.156 365.663 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 2.491 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -517.647 -365.663 cm BT /F22 8.2889 Tf 517.647 365.663 Td [(2007)]TJ ET 1 0 0 1 536.844 365.663 cm 0 g 0 G 1 0 0 1 -536.844 -365.663 cm BT /F22 8.2889 Tf 536.844 365.663 Td [(;)]TJ ET 1 0 0 1 542.254 365.663 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -542.254 -365.663 cm BT /F22 8.2889 Tf 542.254 365.663 Td [(Shao)]TJ ET 1 0 0 1 560.63 365.663 cm 0 g 0 G 1 0 0 1 -560.63 -365.663 cm BT /F22 8.2889 Tf 560.63 365.663 Td [(,)]TJ ET 1 0 0 1 562.57 365.663 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -251.059 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.434 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -311.511 -355.229 cm BT /F22 8.2889 Tf 311.511 355.229 Td [(2009)]TJ ET 1 0 0 1 330.708 355.229 cm 0 g 0 G 1 0 0 1 -330.708 -355.229 cm BT /F22 8.2889 Tf 330.708 355.229 Td [(\051)-250(with)]TJ ET 1 0 0 1 311.511 355.229 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -355.229 cm BT /F40 8.2889 Tf 311.511 332.693 Td [(A)]TJ/F179 9.5641 Tf 7.688 0 Td [(D)]TJ/F181 9.5641 Tf 10.117 13.428 Td [(\024)]TJ/F179 9.5641 Tf 5.212 -7.899 Td [(\000)]TJ/F22 8.2889 Tf 7.46 0 Td [(2)-2100(0)]TJ -3.73 -10.461 Td [(0)]TJ/F179 9.5641 Tf 18.492 0 Td [(\000)]TJ/F22 8.2889 Tf 7.46 0 Td [(0)]TJ/F183 9.5641 Tf 4.799 0 Td [(:)]TJ/F22 8.2889 Tf 2.63 0 Td [(9)]TJ/F181 9.5641 Tf 4.8 18.36 Td [(\025)]TJ/F183 9.5641 Tf 6.806 -13.428 Td [(;)]TJ/F40 8.2889 Tf 21.337 0 Td [(A)]TJ/F22 5.8022 Tf 5.032 -1.435 Td [(1)]TJ/F179 9.5641 Tf 6.514 1.435 Td [(D)]TJ/F181 9.5641 Tf 10.117 13.428 Td [(\024)]TJ/F179 9.5641 Tf 5.212 -7.899 Td [(\000)]TJ/F22 8.2889 Tf 7.46 0 Td [(1)-1652(0)]TJ/F179 9.5641 Tf -7.46 -10.461 Td [(\000)]TJ/F22 8.2889 Tf 7.46 0 Td [(1)]TJ/F179 9.5641 Tf 14.762 0 Td [(\000)]TJ/F22 8.2889 Tf 7.46 0 Td [(1)]TJ/F181 9.5641 Tf 4.799 18.36 Td [(\025)]TJ/F183 9.5641 Tf 6.807 -13.428 Td [(:)]TJ ET 1 0 0 1 311.511 332.693 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -332.693 cm BT /F22 8.2889 Tf 311.511 310.326 Td [(For)-392(various)]TJ/F183 9.5641 Tf 46.868 0 Td [(\026)]TJ/F22 8.2889 Tf 9.811 0 Td [(and)-392(unknown)]TJ/F183 9.5641 Tf 57.229 0 Td [(\026)]TJ/F22 8.2889 Tf 6.561 0 Td [(,)-392(the)-392(maximum)-393(upper)-392(bounds)-392(on)]TJ ET 1 0 0 1 311.511 310.326 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -310.326 cm BT /F22 8.2889 Tf 311.511 299.892 Td [(delay)-351(\050MUBDs\051,)]TJ/F183 9.5641 Tf 62.816 0 Td [(\034)]TJ/F22 5.8022 Tf 4.142 -1.435 Td [(2)]TJ/F22 8.2889 Tf 3.857 1.435 Td [(,)-351(such)-351(that)-352(the)-351(system)-351(is)-351(asymptotically)-351(stable)]TJ ET 1 0 0 1 311.511 299.892 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -299.892 cm BT /F22 8.2889 Tf 311.511 289.458 Td [(for)-223(given)-223(lower)-223(bound,)]TJ/F183 9.5641 Tf 87.54 0 Td [(\034)]TJ/F22 5.8022 Tf 4.142 -1.435 Td [(1)]TJ/F22 8.2889 Tf 3.857 1.435 Td [(,)-223(are)-223(listed)-223(in)]TJ ET 1 0 0 1 456.993 289.458 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -456.993 -289.458 cm BT /F22 8.2889 Tf 456.993 289.458 Td [(Tables)-223(1)]TJ ET 1 0 0 1 487.894 289.458 cm 0 g 0 G 1 0 0 1 -487.894 -289.458 cm BT /F22 8.2889 Tf 489.743 289.458 Td [(and)]TJ ET 1 0 0 1 505.84 289.458 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -505.84 -289.458 cm BT /F22 8.2889 Tf 505.84 289.458 Td [(2)]TJ ET 1 0 0 1 510.639 289.458 cm 0 g 0 G 1 0 0 1 -510.639 -289.458 cm BT /F22 8.2889 Tf 510.639 289.458 Td [(,)-223(respectively.)]TJ ET 1 0 0 1 311.511 289.458 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -289.458 cm BT /F22 8.2889 Tf 311.511 279.024 Td [(From)]TJ ET 1 0 0 1 333.427 279.024 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -333.427 -279.024 cm BT /F22 8.2889 Tf 333.427 279.024 Td [(Tables)-231(1)]TJ ET 1 0 0 1 364.395 279.024 cm 0 g 0 G 1 0 0 1 -364.395 -279.024 cm BT /F22 8.2889 Tf 366.31 279.024 Td [(and)]TJ ET 1 0 0 1 382.473 279.024 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -382.473 -279.024 cm BT /F22 8.2889 Tf 382.473 279.024 Td [(2)]TJ ET 1 0 0 1 387.273 279.024 cm 0 g 0 G 1 0 0 1 -387.273 -279.024 cm BT /F22 8.2889 Tf 387.273 279.024 Td [(,)-231(it)-231(is)-231(easy)-231(to)-231(see)-231(that)-231(our)-231(method)-231(can)-231(obtained)]TJ ET 1 0 0 1 311.511 279.024 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -279.024 cm BT /F22 8.2889 Tf 311.511 268.59 Td [(much)-311(bigger)-311(MUBDs.)-312(Especially,)-311(when)]TJ/F183 9.5641 Tf 150.262 0 Td [(\034)]TJ/F22 5.8022 Tf 4.142 -1.434 Td [(1)]TJ/F179 9.5641 Tf 7.814 1.434 Td [(D)]TJ/F22 8.2889 Tf 11.417 0 Td [(5,)-311(the)-311(result)-311(in)]TJ ET 1 0 0 1 544.193 268.59 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -544.193 -268.59 cm BT /F22 8.2889 Tf 544.193 268.59 Td [(Shao)]TJ ET 1 0 0 1 562.57 268.59 cm 0 g 0 G 1 0 0 1 -251.059 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.434 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -311.511 -258.156 cm BT /F22 8.2889 Tf 311.511 258.156 Td [(\050)]TJ ET 1 0 0 1 314.578 258.156 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -314.578 -258.156 cm BT /F22 8.2889 Tf 314.578 258.156 Td [(2009)]TJ ET 1 0 0 1 333.775 258.156 cm 0 g 0 G 1 0 0 1 -333.775 -258.156 cm BT /F22 8.2889 Tf 333.775 258.156 Td [(\051)-262(is)-262(not)-261(feasible)-262(while)-262(the)-262(MUBD)-261(obtained)-262(using)-262(our)-262(method)]TJ ET 1 0 0 1 311.511 258.156 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -258.156 cm BT /F22 8.2889 Tf 311.511 247.722 Td [(is)-250(5)]TJ/F183 9.5641 Tf 13.055 0 Td [(:)]TJ/F22 8.2889 Tf 2.63 0 Td [(0275.)]TJ ET 1 0 0 1 311.511 247.722 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -24.733 cm 0 g 0 G 1 0 0 1 -307.526 -222.989 cm BT /F153 8.2889 Tf 311.511 222.989 Td [(Example)-250(9.)]TJ ET 1 0 0 1 355.135 222.989 cm 0 g 0 G 1 0 0 1 -355.135 -222.989 cm BT /F22 8.2889 Tf 359.12 222.989 Td [(Consider)-328(the)-327(following)-328(system)]TJ ET 1 0 0 1 479.352 222.989 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -479.352 -222.989 cm BT /F22 8.2889 Tf 479.352 222.989 Td [(He)]TJ ET 1 0 0 1 489.895 222.989 cm 0 g 0 G 1 0 0 1 2.715 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -492.61 -222.989 cm BT /F22 8.2889 Tf 492.61 222.989 Td [(et)-328(al.)]TJ ET 1 0 0 1 511.497 222.989 cm 0 g 0 G 1 0 0 1 2.719 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -514.216 -222.989 cm BT /F22 8.2889 Tf 514.216 222.989 Td [(\050)]TJ ET 1 0 0 1 517.282 222.989 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -517.282 -222.989 cm BT /F22 8.2889 Tf 517.282 222.989 Td [(2007)]TJ ET 1 0 0 1 536.479 222.989 cm 0 g 0 G 1 0 0 1 -536.479 -222.989 cm BT /F22 8.2889 Tf 536.479 222.989 Td [(\051,)]TJ ET 1 0 0 1 544.193 222.989 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -544.193 -222.989 cm BT /F22 8.2889 Tf 544.193 222.989 Td [(Shao)]TJ ET 1 0 0 1 562.57 222.989 cm 0 g 0 G 1 0 0 1 -251.059 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.433 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -311.511 -212.556 cm BT /F22 8.2889 Tf 311.511 212.556 Td [(\050)]TJ ET 1 0 0 1 314.578 212.556 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -314.578 -212.556 cm BT /F22 8.2889 Tf 314.578 212.556 Td [(2009)]TJ ET 1 0 0 1 333.775 212.556 cm 0 g 0 G 1 0 0 1 -333.775 -212.556 cm BT /F22 8.2889 Tf 333.775 212.556 Td [(\051)-250(with)]TJ ET 1 0 0 1 311.511 212.556 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -212.556 cm BT /F40 8.2889 Tf 311.511 190.019 Td [(A)]TJ/F179 9.5641 Tf 7.688 0 Td [(D)]TJ/F181 9.5641 Tf 10.117 13.428 Td [(\024)]TJ/F22 8.2889 Tf 8.942 -7.898 Td [(0)-2102(1)]TJ/F179 9.5641 Tf -3.73 -10.461 Td [(\000)]TJ/F22 8.2889 Tf 7.46 0 Td [(1)]TJ/F179 9.5641 Tf 14.762 0 Td [(\000)]TJ/F22 8.2889 Tf 7.46 0 Td [(2)]TJ/F181 9.5641 Tf 4.799 18.359 Td [(\025)]TJ/F183 9.5641 Tf 6.807 -13.428 Td [(;)]TJ/F40 8.2889 Tf 21.337 0 Td [(A)]TJ/F22 5.8022 Tf 5.031 -1.434 Td [(1)]TJ/F179 9.5641 Tf 6.515 1.434 Td [(D)]TJ/F181 9.5641 Tf 10.116 13.428 Td [(\024)]TJ/F22 8.2889 Tf 8.943 -7.898 Td [(0)-1652(0)]TJ/F179 9.5641 Tf -3.73 -10.461 Td [(\000)]TJ/F22 8.2889 Tf 7.46 0 Td [(1)-1202(1)]TJ/F181 9.5641 Tf 19.561 18.359 Td [(\025)]TJ/F183 9.5641 Tf 6.806 -13.428 Td [(:)]TJ ET 1 0 0 1 311.511 190.019 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -190.019 cm BT /F22 8.2889 Tf 311.511 167.652 Td [(The)-175(purpose)-175(is)-175(to)-175(compute)-175(MUBDs)-175(which)-175(guarantee)-175(the)-175(asymptotic)]TJ ET 1 0 0 1 311.511 167.652 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -167.652 cm BT /F22 8.2889 Tf 311.511 157.218 Td [(stability)-216(of)-216(the)-216(above)-216(system)-216(for)-216(given)-216(lower)-216(bound)]TJ/F183 9.5641 Tf 194.934 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(1)]TJ/F22 8.2889 Tf 3.858 1.434 Td [(.)]TJ ET 1 0 0 1 518.183 157.218 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -518.183 -157.218 cm BT /F22 8.2889 Tf 518.183 157.218 Td [(Table)-216(3)]TJ ET 1 0 0 1 545.329 157.218 cm 0 g 0 G 1 0 0 1 -545.329 -157.218 cm BT /F22 8.2889 Tf 547.119 157.218 Td [(lists)]TJ ET 1 0 0 1 311.511 157.218 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -157.218 cm BT /F22 8.2889 Tf 311.511 146.784 Td [(the)-355(comparison)-356(results)-355(for)]TJ/F183 9.5641 Tf 105.728 0 Td [(\026)]TJ/F179 9.5641 Tf 11.457 0 Td [(D)]TJ/F22 8.2889 Tf 12.355 0 Td [(0)]TJ/F183 9.5641 Tf 4.8 0 Td 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cm 1 g 1 G 1 g 1 G 1 g 1 G 0 g 0 G 0 g 0 G 0 g 0 G 1 0 0 1 251.059 12.533 cm 0 g 0 G 0 g 0 G 1 0 0 1 -251.059 -12.533 cm 0 g 0 G 1 0 0 1 0 -10.461 cm 0 g 0 G 1 0 0 1 -32.706 -653.028 cm BT /F153 6.6311 Tf 32.706 635.992 Td [(Table)-250(4)]TJ/F22 6.6311 Tf 0 -8.568 Td [(MUBDs)-250(for)-250(various)]TJ/F183 7.6513 Tf 58.758 0 Td [(\034)]TJ/F22 4.6417 Tf 3.313 -1.148 Td [(1)]TJ/F22 6.6311 Tf 4.843 1.148 Td [(and)-250(unknown)]TJ/F183 7.6513 Tf 43.898 0 Td [(\026)]TJ/F22 6.6311 Tf 6.907 0 Td [(for)]TJ ET 1 0 0 1 160.769 627.424 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -160.769 -627.424 cm BT /F22 6.6311 Tf 160.769 627.424 Td [(Example)-250(9)]TJ ET 1 0 0 1 192.704 627.424 cm 0 g 0 G 1 0 0 1 -192.704 -627.424 cm BT /F22 6.6311 Tf 192.704 627.424 Td [(.)]TJ ET 1 0 0 1 32.706 613.413 cm .95 g .95 G .95 g .95 G q 1 0 0 1 0 -6.249 cm 0 0 251.059 16.323 re f Q .95 g .95 G 0 g 0 G q 1 0 0 1 0 9.875 cm []0 d 0 J 0.398 w 0 0 m 251.059 0 l S Q 1 0 0 1 -32.706 -613.413 cm BT /F22 6.6311 Tf 38.684 614.501 Td [(Methods)]TJ/F183 7.6513 Tf 45.489 0 Td [(\034)]TJ/F22 4.6417 Tf 3.313 -1.148 Td [(1)]TJ/F22 6.6311 Tf 17.845 1.148 Td [(1)-5067(2)-5067(3)-5067(4)-5067(5)]TJ ET q 1 0 0 1 32.706 610.735 cm []0 d 0 J 0.398 w 0 0 m 251.059 0 l S Q 1 0 0 1 283.765 613.413 cm 0 g 0 G 0 g 0 G 1 0 0 1 -251.059 -17.327 cm .95 g .95 G .95 g .95 G q 1 0 0 1 0 -9.365 cm 0 0 251.059 20.443 re f Q .95 g .95 G 0 g 0 G 1 0 0 1 5.978 5.081 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -38.684 -601.167 cm BT /F22 6.6311 Tf 38.684 601.167 Td [(Shao)]TJ ET 1 0 0 1 53.385 601.167 cm 0 g 0 G 1 0 0 1 1.658 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -55.043 -601.167 cm BT /F22 6.6311 Tf 55.043 601.167 Td [(\050)]TJ ET 1 0 0 1 57.496 601.167 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -57.496 -601.167 cm BT /F22 6.6311 Tf 57.496 601.167 Td [(2009)]TJ ET 1 0 0 1 72.854 601.167 cm 0 g 0 G 1 0 0 1 -72.854 -601.167 cm BT /F22 6.6311 Tf 72.854 601.167 Td [(\051)]TJ/F183 7.6513 Tf 11.319 0 Td [(\034)]TJ/F22 4.6417 Tf 3.313 -1.148 Td [(2)]TJ/F22 6.6311 Tf 17.845 1.148 Td [(1.6169)-2516(2.4798)-2516(3.3894)-2516(4.3250)-2516(5.2773)]TJ ET 1 0 0 1 38.684 592.599 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -38.684 -592.599 cm BT /F22 6.6311 Tf 38.684 592.599 Td [(Corollary)-250(7)]TJ ET 1 0 0 1 72.164 592.599 cm 0 g 0 G 1 0 0 1 -72.164 -592.599 cm BT /F183 7.6513 Tf 84.173 592.599 Td [(\034)]TJ/F22 4.6417 Tf 3.313 -1.148 Td [(2)]TJ/F22 6.6311 Tf 17.845 1.148 Td [(1.6198)-2516(2.4884)-2516(3.4030)-2516(4.3424)-2516(5.2970)]TJ ET q 1 0 0 1 32.706 587.837 cm []0 d 0 J 0.398 w 0 0 m 251.059 0 l S Q 1 0 0 1 32.706 586.721 cm 1 g 1 G 1 g 1 G 1 g 1 G 0 g 0 G 0 g 0 G 0 g 0 G 1 0 0 1 251.059 9.365 cm 0 g 0 G 0 g 0 G 1 0 0 1 -251.059 -9.365 cm 0 g 0 G 1 0 0 1 -32.706 -586.721 cm BT /F22 8.2889 Tf 32.706 566.298 Td [(lower)-297(bound)-297(of)-297(the)-297(delay.)-297(The)-297(obtained)-298(criteria)-297(have)-297(been)-297(shown)]TJ ET 1 0 0 1 32.706 566.298 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -566.298 cm BT /F22 8.2889 Tf 32.706 555.837 Td [(to)-207(be)-207(less)-207(conservative)-207(than)-207(the)-207(existing)-207(ones.)-208(Numerical)-207(examples)]TJ ET 1 0 0 1 32.706 555.837 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -555.837 cm BT /F22 8.2889 Tf 32.706 545.376 Td [(have)-453(been)-454(given)-453(to)-453(illustrate)-453(the)-454(effectiveness)-453(of)-453(the)-454(proposed)]TJ ET 1 0 0 1 32.706 545.376 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -545.376 cm BT /F22 8.2889 Tf 32.706 534.915 Td [(method.)]TJ ET 1 0 0 1 32.706 534.915 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -534.915 cm BT /F153 8.2889 Tf 32.706 509.511 Td [(References)]TJ ET 1 0 0 1 32.706 509.511 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -19.926 cm 0 g 0 G 0 g 0 G 1 0 0 1 -28.721 -489.585 cm BT /F22 6.6311 Tf 32.706 489.585 Td [(Ariba,)-496(Y.,)-496(&)-495(Gouaisbaut,)-496(F.)-496(\0502007\051.)-495(Delay-dependent)-496(stability)-496(analysis)-495(of)-496(linear)]TJ ET 1 0 0 1 32.706 489.585 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -489.585 cm BT /F22 6.6311 Tf 44.661 481.615 Td [(systems)-334(with)-333(time-varying)-334(delay.)-334(In)]TJ/F40 6.6311 Tf 111.567 0 Td [(Proceedings)-334(of)-333(the)-334(46th)-334(IEEE)-333(conference)-334(on)]TJ ET 1 0 0 1 32.706 481.615 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -481.615 cm BT /F40 6.6311 Tf 44.661 473.645 Td [(decision)-250(and)-250(control)]TJ/F22 6.6311 Tf 60.429 0 Td [(\050pp.)-250(2053\0252058\051)-250(New)-250(Orleans,)-250(USA.)]TJ ET 1 0 0 1 32.706 473.645 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -28.721 -465.675 cm BT /F22 6.6311 Tf 32.706 465.675 Td [(Fridman,)-554(E.,)-554(&)-554(Shaked,)-554(U.)-554(\0502003\051.)-554(Delay-dependent)-554(stability)-553(and)]TJ/F40 6.6311 Tf 212.455 0 Td [(H)]TJ/F179 5.3558 Tf 4.741 -1.148 Td [(1)]TJ/F22 6.6311 Tf 9.639 1.148 Td [(control:)]TJ ET 1 0 0 1 32.706 465.675 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -465.675 cm BT /F22 6.6311 Tf 44.661 457.705 Td [(Constant)-250(and)-250(time-varying)-250(delays.)]TJ/F40 6.6311 Tf 105.965 0 Td [(International)-250(Journal)-250(of)-250(Control)]TJ/F22 6.6311 Tf 91.495 0 Td [(,)]TJ/F40 6.6311 Tf 3.209 0 Td [(76)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)-250(48\02560.)]TJ ET 1 0 0 1 32.706 457.705 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -28.721 -449.735 cm BT /F22 6.6311 Tf 32.706 449.735 Td [(Gao,)-272(H.,)-272(&)-271(Wang,)-272(C.)-272(\0502003\051.)-272(Comments)-271(and)-272(further)-272(results)-272(on)-271(``A)-272(descriptor)-272(system)]TJ ET 1 0 0 1 32.706 449.735 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -449.735 cm BT /F22 6.6311 Tf 44.661 441.765 Td [(approach)-431(to)]TJ/F40 6.6311 Tf 40.419 0 Td [(H)]TJ/F179 5.3558 Tf 4.741 -1.148 Td [(1)]TJ/F22 6.6311 Tf 8.822 1.148 Td [(control)-431(of)-430(linear)-431(time-delay)-431(systems''.)]TJ/F40 6.6311 Tf 122.351 0 Td [(IEEE)-430(Transactions)-431(on)]TJ ET 1 0 0 1 32.706 441.765 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -441.765 cm BT /F40 6.6311 Tf 44.661 433.794 Td [(Automatic)-250(Control)]TJ/F22 6.6311 Tf 53.413 0 Td [(,)]TJ/F40 6.6311 Tf 3.21 0 Td [(48)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)-250(520\025525.)]TJ ET 1 0 0 1 32.706 433.794 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -28.721 -425.824 cm BT /F22 6.6311 Tf 32.706 425.824 Td [(Gu,)-256(K.)-256(\0502000\051.)-255(Integral)-256(inequality)-256(in)-255(the)-256(stability)-256(problem)-256(of)-255(time-delay)-256(systems.)-256(In)]TJ ET 1 0 0 1 32.706 425.824 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -425.824 cm BT /F40 6.6311 Tf 44.661 417.854 Td [(Proceedings)-280(of)-281(the)-280(39th)-280(IEEE)-280(conference)-281(on)-280(decision)-280(and)-280(control)]TJ/F22 6.6311 Tf 188.301 0 Td [(\050pp.)-280(2805\0252810\051)]TJ ET 1 0 0 1 32.706 417.854 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -417.854 cm BT /F22 6.6311 Tf 44.661 409.884 Td [(Sydney,)-250(Australia.)]TJ ET 1 0 0 1 32.706 409.884 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -28.721 -401.914 cm BT /F22 6.6311 Tf 32.706 401.914 Td [(Gu,)-335(K.,)-335(Kharitonov,)-335(V.-L.,)-335(&)-334(Chen,)-335(J.)-335(\0502003\051.)]TJ/F40 6.6311 Tf 133.217 0 Td [(Stability)-335(of)-335(time-delay)-334(systems)]TJ/F22 6.6311 Tf 90.755 0 Td [(.)-335(Boston:)]TJ ET 1 0 0 1 32.706 401.914 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -401.914 cm BT /F22 6.6311 Tf 44.661 393.944 Td [(Brikhauser.)]TJ ET 1 0 0 1 32.706 393.944 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -28.721 -385.974 cm BT /F22 6.6311 Tf 32.706 385.974 Td [(Hale,)-175(J.-K.,)-174(&)-175(Verduyn)-174(Lunel,)-175(S.-M.)-175(\0501993\051.)]TJ/F40 6.6311 Tf 123.744 0 Td [(Applied)-175(mathematica)1(l)-175(sciences)]TJ/F22 6.6311 Tf 88.147 0 Td [(,)]TJ/F40 6.6311 Tf 2.71 0 Td [(Introduction)]TJ ET 1 0 0 1 32.706 385.974 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -385.974 cm BT /F40 6.6311 Tf 44.661 378.004 Td [(to)-250(functional)-250(differential)-250(equations)]TJ/F22 6.6311 Tf 100.872 0 Td [(.)-250(New)-250(York:)-250(Springer\025Verlag.)]TJ ET 1 0 0 1 292.731 40.361 cm 0 g 0 G 0 g 0 G 1 0 0 1 4.981 680.448 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -720.809 cm BT /F22 6.6311 Tf 301.697 720.809 Td [(Han,)-486(Q.-L.)-486(\0502004a\051.)-486(A)-485(descriptor)-486(system)-486(approach)-486(to)-486(robust)-485(stability)-486(of)-486(uncer-)]TJ ET 1 0 0 1 301.697 720.809 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -720.809 cm BT /F22 6.6311 Tf 313.653 712.839 Td [(tain)-530(neutral)-531(systems)-530(with)-530(discrete)-530(and)-531(distributed)-530(delays.)]TJ/F40 6.6311 Tf 191.382 0 Td [(Automatica)]TJ/F22 6.6311 Tf 33.765 0 Td [(,)]TJ/F40 6.6311 Tf 5.07 0 Td [(40)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)]TJ ET 1 0 0 1 301.697 712.839 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -712.839 cm BT /F22 6.6311 Tf 313.653 704.869 Td [(1791\0251796.)]TJ ET 1 0 0 1 301.697 704.869 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -696.899 cm BT /F22 6.6311 Tf 301.697 696.899 Td [(Han,)-183(Q.-L.)-184(\0502004b\051.)-183(On)-184(robust)-183(stability)-183(of)-184(neutral)-183(systems)-183(with)-184(time-varying)-183(discrete)]TJ ET 1 0 0 1 301.697 696.899 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -696.899 cm BT /F22 6.6311 Tf 313.653 688.929 Td [(delay)-250(and)-250(norm-bounded)-250(uncertainty.)]TJ/F40 6.6311 Tf 117.833 0 Td [(Automatica)]TJ/F22 6.6311 Tf 33.766 0 Td [(,)]TJ/F40 6.6311 Tf 3.209 0 Td [(40)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)-250(1087\0251092.)]TJ ET 1 0 0 1 301.697 688.929 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.971 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -680.958 cm BT /F22 6.6311 Tf 301.697 680.958 Td [(Haoussi,)-168(F.)-169(E.,)-168(&)-168(Tissir,)-168(E.)-169(H.)-168(\0502009\051.)-168(Robust)]TJ/F40 6.6311 Tf 124.612 0 Td [(H)]TJ/F179 5.3558 Tf 4.741 -1.147 Td [(1)]TJ/F22 6.6311 Tf 7.082 1.147 Td [(controller)-168(design)-168(for)-169(uncertain)-168(neutral)]TJ ET 1 0 0 1 301.697 680.958 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -680.958 cm BT /F22 6.6311 Tf 313.653 672.988 Td [(systems)-342(via)-343(dynamic)-342(observer)-342(based)-343(output)-342(feedback.)]TJ/F40 6.6311 Tf 169.565 0 Td [(International)-342(Journal)-343(of)]TJ ET 1 0 0 1 301.697 672.988 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -672.988 cm BT /F40 6.6311 Tf 313.653 665.018 Td [(Automation)-250(and)-250(Computing)]TJ/F22 6.6311 Tf 81.671 0 Td [(,)]TJ/F40 6.6311 Tf 3.209 0 Td [(6)]TJ/F22 6.6311 Tf 3.667 0 Td [(,)-250(164\025170.)]TJ ET 1 0 0 1 301.697 665.018 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -657.048 cm BT /F22 6.6311 Tf 301.697 657.048 Td [(He,)-293(Y.,)-294(Wang,)-293(Q.-G.,)-294(Lin,)-293(C.,)-293(&)-294(Wu,)-293(M.)-294(\0502005\051.)-293(Augmented)-293(Lyapunov)-294(functional)-293(and)]TJ ET 1 0 0 1 301.697 657.048 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -657.048 cm BT /F22 6.6311 Tf 313.653 649.078 Td [(delay-dependent)-346(stability)-345(criteria)-346(for)-346(neutral)-346(systems.)]TJ/F40 6.6311 Tf 169.52 0 Td [(International)-346(Journal)-345(of)]TJ ET 1 0 0 1 301.697 649.078 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -649.078 cm BT /F40 6.6311 Tf 313.653 641.108 Td [(Robust)-250(and)-250(Nonlinear)-250(Control)]TJ/F22 6.6311 Tf 86.369 0 Td [(,)]TJ/F40 6.6311 Tf 3.209 0 Td [(15)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)-250(923\025933.)]TJ ET 1 0 0 1 301.697 641.108 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -633.138 cm BT /F22 6.6311 Tf 301.697 633.138 Td [(He,)-384(Y.,)-384(Wang,)-383(Q.-G.,)-384(Xie,)-384(L.,)-384(&)-384(Lin,)-383(C.)-384(\0502007\051.)-384(Delay-range-dependent)-383(stability)-384(for)]TJ ET 1 0 0 1 301.697 633.138 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -633.138 cm BT /F22 6.6311 Tf 313.653 625.168 Td [(systems)-250(with)-250(time-varying)-250(delay.)]TJ/F40 6.6311 Tf 103.272 0 Td [(Automatica)]TJ/F22 6.6311 Tf 33.765 0 Td [(,)]TJ/F40 6.6311 Tf 3.209 0 Td [(43)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)-250(371\025376.)]TJ ET 1 0 0 1 301.697 625.168 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -617.198 cm BT /F22 6.6311 Tf 301.697 617.198 Td [(He,)-184(Y.,)-183(Wu,)-183(M.,)-184(She,)-183(J.-H.,)-184(&)-183(Liu,)-184(G.)-183(P.)-183(\0502004\051.)-184(Delay-dependent)-183(robust)-184(stability)-183(criteria)]TJ ET 1 0 0 1 301.697 617.198 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -617.198 cm BT /F22 6.6311 Tf 313.653 609.227 Td [(for)-274(uncertain)-274(neutral)-274(systems)-274(with)-273(mixed)-274(delays.)]TJ/F40 6.6311 Tf 151.847 0 Td [(Systems)-274(&)-274(Control)-274(Letters)]TJ/F22 6.6311 Tf 75.002 0 Td [(,)]TJ/F40 6.6311 Tf 3.368 0 Td [(51)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)]TJ ET 1 0 0 1 301.697 609.227 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -609.227 cm BT /F22 6.6311 Tf 313.653 601.257 Td [(57\02565.)]TJ ET 1 0 0 1 301.697 601.257 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -593.287 cm BT /F22 6.6311 Tf 301.697 593.287 Td 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0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 42.52 720.809 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -720.809 cm BT /F22 8.2889 Tf 42.52 706.187 Td [(and)]TJ/F181 9.5641 Tf 16.413 7.704 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -12.526 -7.023 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F40 5.8022 Tf 5.222 0 Td [(d)]TJ/F183 6.6948 Tf 3.226 0 Td [(.)]TJ/F40 5.8022 Tf 2.497 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F40 8.2889 Tf 4.589 3.256 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.472 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.472 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(3)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(,)-261(respectively.)-262(Furthermo)1(re,)-262(the)-261(Lyapunov)]TJ ET 1 0 0 1 42.52 706.187 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -706.187 cm BT /F22 8.2889 Tf 42.52 694.408 Td [(functional)-517(in)]TJ ET 1 0 0 1 97.41 694.408 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -97.41 -694.408 cm BT /F22 8.2889 Tf 97.41 694.408 Td [(Shao)]TJ ET 1 0 0 1 115.786 694.408 cm 0 g 0 G 1 0 0 1 4.286 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -120.072 -694.408 cm BT /F22 8.2889 Tf 120.072 694.408 Td [(\050)]TJ ET 1 0 0 1 123.139 694.408 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -123.139 -694.408 cm BT /F22 8.2889 Tf 123.139 694.408 Td [(2009)]TJ ET 1 0 0 1 142.336 694.408 cm 0 g 0 G 1 0 0 1 -142.336 -694.408 cm BT /F22 8.2889 Tf 142.336 694.408 Td [(\051)-517(does)-517(not)-517(contain)-517(any)-517(triple-integral)]TJ ET 1 0 0 1 42.52 694.408 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -694.408 cm BT /F22 8.2889 Tf 42.52 683.839 Td [(terms.)-390(Adding)-389(some)-389(triple-integral)-390(terms)-389(in)-389(the)-389(Lyapunov)-390(func-)]TJ ET 1 0 0 1 42.52 683.839 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -683.839 cm BT /F22 8.2889 Tf 42.52 673.269 Td [(tional)-605(may)-606(be)-605(helpful)-606(for)-605(the)-605(reduction)-606(of)-605(the)-606(conservatism)]TJ ET 1 0 0 1 42.52 673.269 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -673.269 cm BT /F22 8.2889 Tf 42.52 662.7 Td [(such)-369(as)-369(reported)-368(in)]TJ ET 1 0 0 1 121.116 662.7 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -121.116 -662.7 cm BT /F22 8.2889 Tf 121.116 662.7 Td [(Ariba)]TJ ET 1 0 0 1 141.564 662.7 cm 0 g 0 G 1 0 0 1 3.057 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -144.621 -662.7 cm BT /F22 8.2889 Tf 144.621 662.7 Td [(and)]TJ ET 1 0 0 1 158.87 662.7 cm 0 g 0 G 1 0 0 1 3.057 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -161.927 -662.7 cm BT /F22 8.2889 Tf 161.927 662.7 Td [(Gouaisbaut)]TJ ET 1 0 0 1 205.087 662.7 cm 0 g 0 G 1 0 0 1 3.056 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -208.143 -662.7 cm BT /F22 8.2889 Tf 208.143 662.7 Td [(\050)]TJ ET 1 0 0 1 211.21 662.7 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -211.21 -662.7 cm BT /F22 8.2889 Tf 211.21 662.7 Td [(2007)]TJ ET 1 0 0 1 230.407 662.7 cm 0 g 0 G 1 0 0 1 -230.407 -662.7 cm BT /F22 8.2889 Tf 230.407 662.7 Td [(\051.)-370(In)-368(addition,)-369(in)]TJ ET 1 0 0 1 42.52 662.7 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -662.7 cm BT /F22 8.2889 Tf 42.52 652.13 Td [(our)-451(recent)-452(work)-903(\050)]TJ ET 1 0 0 1 117.668 652.13 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -117.668 -652.13 cm BT /F22 8.2889 Tf 117.668 652.13 Td [(Sun,)]TJ ET 1 0 0 1 133.972 652.13 cm 0 g 0 G 1 0 0 1 3.744 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -137.716 -652.13 cm BT /F22 8.2889 Tf 137.716 652.13 Td [(Liu,)]TJ ET 1 0 0 1 151.26 652.13 cm 0 g 0 G 1 0 0 1 3.745 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -155.005 -652.13 cm BT /F22 8.2889 Tf 155.005 652.13 Td [(&)]TJ ET 1 0 0 1 160.765 652.13 cm 0 g 0 G 1 0 0 1 3.743 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -164.508 -652.13 cm BT /F22 8.2889 Tf 164.508 652.13 Td [(Chen,)]TJ ET 1 0 0 1 185.844 652.13 cm 0 g 0 G 1 0 0 1 3.744 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -189.588 -652.13 cm BT /F22 8.2889 Tf 189.588 652.13 Td [(2009)]TJ ET 1 0 0 1 208.785 652.13 cm 0 g 0 G 1 0 0 1 -208.785 -652.13 cm BT /F22 8.2889 Tf 208.785 652.13 Td [(\051,)-452(a)-451(novel)-452(augmented)]TJ ET 1 0 0 1 42.52 652.13 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -652.13 cm BT /F22 8.2889 Tf 42.52 641.561 Td [(Lyapunov)-454(functional)-454(containing)-454(a)-454(triple-integral)-454(term)-454(has)-455(been)]TJ ET 1 0 0 1 42.52 641.561 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -641.561 cm BT /F22 8.2889 Tf 42.52 630.991 Td [(used)-382(to)-382(derive)-383(a)-382(less)-382(conservative)-382(stability)-382(condition)-382(for)-383(neutral)]TJ ET 1 0 0 1 42.52 630.991 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -630.991 cm BT /F22 8.2889 Tf 42.52 620.421 Td [(time-delay)-353(systems.)-353(However,)]TJ ET 1 0 0 1 162.2 620.421 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -162.2 -620.421 cm BT /F22 8.2889 Tf 162.2 620.421 Td [(Sun)]TJ ET 1 0 0 1 176.565 620.421 cm 0 g 0 G 1 0 0 1 2.924 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -179.489 -620.421 cm BT /F22 8.2889 Tf 179.489 620.421 Td [(et)-353(al.)]TJ ET 1 0 0 1 198.584 620.421 cm 0 g 0 G 1 0 0 1 2.929 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -201.513 -620.421 cm BT /F22 8.2889 Tf 201.513 620.421 Td [(\050)]TJ ET 1 0 0 1 204.58 620.421 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -204.58 -620.421 cm BT /F22 8.2889 Tf 204.58 620.421 Td [(2009)]TJ ET 1 0 0 1 223.776 620.421 cm 0 g 0 G 1 0 0 1 -223.776 -620.421 cm BT /F22 8.2889 Tf 223.776 620.421 Td [(\051)-353(has)-352(only)-353(consid-)]TJ ET 1 0 0 1 42.52 620.421 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -620.421 cm BT /F22 8.2889 Tf 42.52 609.852 Td [(ered)-299(the)-299(constant)-300(delay)-299(case.)-299(Therefore,)-300(in)-299(this)-299(paper)-299(the)-300(method)]TJ ET 1 0 0 1 42.52 609.852 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -609.852 cm BT /F22 8.2889 Tf 42.52 599.282 Td [(reported)-328(in)]TJ ET 1 0 0 1 88.667 599.282 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -88.667 -599.282 cm BT /F22 8.2889 Tf 88.667 599.282 Td [(Sun)]TJ ET 1 0 0 1 103.032 599.282 cm 0 g 0 G 1 0 0 1 2.72 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -105.752 -599.282 cm BT /F22 8.2889 Tf 105.752 599.282 Td [(et)-328(al.)]TJ ET 1 0 0 1 124.644 599.282 cm 0 g 0 G 1 0 0 1 2.724 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -127.368 -599.282 cm BT /F22 8.2889 Tf 127.368 599.282 Td [(\050)]TJ ET 1 0 0 1 130.435 599.282 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -130.435 -599.282 cm BT /F22 8.2889 Tf 130.435 599.282 Td [(2009)]TJ ET 1 0 0 1 149.632 599.282 cm 0 g 0 G 1 0 0 1 -149.632 -599.282 cm BT /F22 8.2889 Tf 149.632 599.282 Td [(\051)-328(is)-328(extended)-329(to)-328(the)-328(time-varying)-328(de-)]TJ ET 1 0 0 1 42.52 599.282 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -599.282 cm BT /F22 8.2889 Tf 42.52 588.713 Td [(lay)-329(case.)-329(In)-329(this)-329(paper,)-329(a)-328(new)-329(type)-329(of)-329(augmented)-329(Lyapunov)-329(func-)]TJ ET 1 0 0 1 42.52 588.713 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -588.713 cm BT /F22 8.2889 Tf 42.52 578.143 Td [(tional)-190(which)-190(contains)-189(some)-190(triple-integral)-190(terms)-190(is)-189(introduced.)-191(The)]TJ ET 1 0 0 1 42.52 578.143 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -578.143 cm BT /F22 8.2889 Tf 42.52 567.574 Td [(information)-350(on)-350(the)-350(lower)-349(bound)-350(of)-350(the)-350(delay)-350(is)-350(fully)-350(used)-350(in)-350(the)]TJ ET 1 0 0 1 42.52 567.574 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -567.574 cm BT /F22 8.2889 Tf 42.52 557.004 Td [(Lyapunov)-327(functional.)-327(Some)-327(less)-327(conservative)-327(stability)-327(criteria)-327(are)]TJ ET 1 0 0 1 42.52 557.004 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -557.004 cm BT /F22 8.2889 Tf 42.52 546.435 Td [(derived)-280(without)-279(introducing)-280(any)-279(free-weighting)-280(matrices.)-280(Finally,)]TJ ET 1 0 0 1 42.52 546.435 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -546.435 cm BT /F22 8.2889 Tf 42.52 535.865 Td [(numerical)-260(examples)-261(are)-260(given)-261(to)-260(demonstrate)-261(the)-260(effectiveness)-261(of)]TJ ET 1 0 0 1 42.52 535.865 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -535.865 cm BT /F22 8.2889 Tf 42.52 525.296 Td [(the)-250(proposed)-250(method.)]TJ ET 1 0 0 1 42.52 525.296 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -525.296 cm BT /F153 8.2889 Tf 42.52 500.605 Td [(2.)-500(Problem)-250(formulation)-250(and)-250(main)-250(results)]TJ ET 1 0 0 1 42.52 500.605 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -500.605 cm BT /F22 8.2889 Tf 54.475 478.704 Td [(Consider)-250(the)-250(following)-250(linear)-250(system)-250(with)-250(time-varying)-250(delay:)]TJ ET 1 0 0 1 42.52 478.704 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -478.704 cm BT /F179 9.5641 Tf 42.962 460.587 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 6.224 0 Td [(D)]TJ/F40 8.2889 Tf 10.117 0 Td [(Ax)]TJ/F183 9.5641 Tf 9.101 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.693 0 Td [(C)]TJ/F40 8.2889 Tf 9.585 0 Td [(A)]TJ/F22 5.8022 Tf 5.032 -1.434 Td [(1)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 5.769 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)-120(.)]TJ/F40 8.2889 Tf 8.856 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//;)]TJ/F40 8.2889 Tf 20.184 0 Td [(t)]TJ/F183 9.5641 Tf 6.299 0 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F40 8.2889 Tf -140.189 -13.449 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 6.224 0 Td [(D)]TJ/F183 9.5641 Tf 10.117 0 Td [(\036)-50(.)]TJ/F40 8.2889 Tf 9.564 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/;)]TJ/F40 8.2889 Tf 16.616 0 Td [(t)]TJ/F179 9.5641 Tf 6.299 0 Td [(2)]TJ/F22 8.2889 Tf 8.673 0.084 Td [([)]TJ/F179 9.5641 Tf 2.992 -0.084 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(;)]TJ/F22 8.2889 Tf 6.832 0 Td [(0)]TJ 4.799 0.084 Td [(])]TJ 137.636 6.342 Td [(\0501\051)]TJ ET 1 0 0 1 42.52 453.39 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -453.39 cm BT /F22 8.2889 Tf 42.52 429.924 Td [(where)]TJ/F40 8.2889 Tf 26.445 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 6.51 0 Td [(2)]TJ/F185 8.9265 Tf 8.958 0 Td [(R)]TJ/F40 5.8022 Tf 8.034 3.472 Td [(n)]TJ/F22 8.2889 Tf 6.036 -3.472 Td [(is)-263(the)-264(state)-263(vector;)-264(The)-263(initial)-264(condition)]TJ/F183 9.5641 Tf 152.176 0 Td [(\036)-50(.)]TJ/F40 8.2889 Tf 9.564 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 5.751 0 Td [(is)-263(a)]TJ ET 1 0 0 1 42.52 429.924 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -429.924 cm BT /F22 8.2889 Tf 42.52 419.355 Td [(continuously)-255(differentiable)-255(vector-valued)-255(function;)]TJ/F40 8.2889 Tf 197.632 0 Td [(A)]TJ/F179 9.5641 Tf 7.796 0 Td [(2)]TJ/F185 8.9265 Tf 8.78 0 Td [(R)]TJ/F40 5.8022 Tf 8.033 3.472 Td [(n)]TJ/F179 6.6948 Tf 3.354 0 Td [(\002)]TJ/F40 5.8022 Tf 5.249 0 Td [(n)]TJ/F22 8.2889 Tf 5.966 -3.472 Td [(and)]TJ ET 1 0 0 1 42.52 419.355 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -419.355 cm BT /F40 8.2889 Tf 42.52 408.785 Td [(A)]TJ/F22 5.8022 Tf 5.031 -1.434 Td [(1)]TJ/F179 9.5641 Tf 8.381 1.434 Td [(2)]TJ/F185 8.9265 Tf 10.54 0 Td [(R)]TJ/F40 5.8022 Tf 8.034 3.472 Td [(n)]TJ/F179 6.6948 Tf 3.353 0 Td [(\002)]TJ/F40 5.8022 Tf 5.249 0 Td [(n)]TJ/F22 8.2889 Tf 6.652 -3.472 Td [(are)-338(constant)-338(system)-338(matr)1(ices;)]TJ/F183 9.5641 Tf 119.115 0 Td [(\034)-120(.)]TJ/F40 8.2889 Tf 8.857 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 6.367 0 Td [(is)-338(a)-338(time-varying)]TJ ET 1 0 0 1 42.52 408.785 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -408.785 cm BT /F22 8.2889 Tf 42.52 398.216 Td [(differentiable)-250(function)-250(and)-250(satisfies)]TJ ET 1 0 0 1 42.52 398.216 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -398.216 cm BT /F22 8.2889 Tf 42.52 381.414 Td [(0)]TJ/F183 9.5641 Tf 7.456 0 Td [(<)-278(\034)]TJ/F22 5.8022 Tf 14.258 -1.434 Td [(1)]TJ/F166 7.9701 Tf 6.514 1.434 Td [(6)]TJ/F183 9.5641 Tf 8.855 0 Td [(\034)-120(.)]TJ/F40 8.2889 Tf 8.857 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F166 7.9701 Tf 6.224 0 Td [(6)]TJ/F183 9.5641 Tf 8.855 0 Td [(\034)]TJ/F22 5.8022 Tf 4.142 -1.434 Td [(2)]TJ/F22 8.2889 Tf 171.33 1.434 Td [(\0502\051)]TJ ET 1 0 0 1 42.52 381.414 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -381.414 cm BT /F179 9.5641 Tf 43.572 367.856 Td [(P)]TJ/F183 9.5641 Tf -1.052 0 Td [(\034)-120(.)]TJ/F40 8.2889 Tf 8.856 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F166 7.9701 Tf 6.224 0 Td [(6)]TJ/F183 9.5641 Tf 8.856 0 Td [(\026)]TJ/F22 8.2889 Tf 212.555 0 Td [(\0503\051)]TJ ET 1 0 0 1 42.52 367.856 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -367.856 cm BT /F22 8.2889 Tf 42.52 351.055 Td [(where)-250(0)]TJ/F183 9.5641 Tf 33.789 0 Td [(<)-278(\034)]TJ/F22 5.8022 Tf 14.258 -1.435 Td [(1)]TJ/F183 9.5641 Tf 6.514 1.435 Td [(<)-278(\034)]TJ/F22 5.8022 Tf 14.258 -1.435 Td [(2)]TJ/F22 8.2889 Tf 3.858 1.435 Td [(,)-250(and)-250(0)]TJ/F166 7.9701 Tf 27.788 0 Td [(6)]TJ/F183 9.5641 Tf 8.856 0 Td [(\026)]TJ/F22 8.2889 Tf 8.633 0 Td [(are)-250(constants.)]TJ ET 1 0 0 1 42.52 351.055 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -351.055 cm BT /F22 8.2889 Tf 54.475 340.268 Td [(Let)]TJ/F183 9.5641 Tf 14.035 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(12)]TJ/F179 9.5641 Tf 10.834 1.435 Td [(D)]TJ/F183 9.5641 Tf 11.078 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(2)]TJ/F179 9.5641 Tf 6.367 1.435 Td [(\000)]TJ/F183 9.5641 Tf 9.97 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(1)]TJ/F22 8.2889 Tf 6.304 1.435 Td [(and)]TJ/F183 9.5641 Tf 16.696 0 Td [(\034)]TJ/F40 5.8022 Tf 4.141 -1.435 Td [(s)]TJ/F179 9.5641 Tf 6.483 1.435 Td [(D)]TJ/F22 5.8022 Tf 12.273 3.864 Td [(1)]TJ ET q 1 0 0 1 165.079 342.659 cm []0 d 0 J 0.44 w 0 0 m 3.359 0 l S Q BT /F22 5.8022 Tf 165.079 336.873 Td [(2)]TJ/F183 9.5641 Tf 4.555 3.395 Td [(.\034)]TJ/F22 5.8022 Tf 8.856 3.519 Td [(2)]TJ -1.147 -6.212 Td [(2)]TJ/F179 9.5641 Tf 7.514 2.693 Td [(\000)]TJ/F183 9.5641 Tf 9.97 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.519 Td [(2)]TJ -1.148 -6.212 Td [(1)]TJ/F183 9.5641 Tf 5.006 2.693 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(.)-295(The)-296(following)-295(lemma)]TJ ET 1 0 0 1 42.52 340.268 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -340.268 cm BT /F22 8.2889 Tf 42.52 329.698 Td [(is)-265(introduced)-266(which)-265(has)-266(an)-265(important)-265(role)-266(in)-265(the)-266(derivation)-265(of)-266(the)]TJ ET 1 0 0 1 42.52 329.698 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -329.698 cm BT /F22 8.2889 Tf 42.52 319.129 Td [(main)-250(results.)]TJ ET 1 0 0 1 42.52 319.129 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -20.166 cm 0 g 0 G 1 0 0 1 -38.535 -298.963 cm BT /F153 8.2889 Tf 42.52 298.963 Td [(Lemma)-250(1)]TJ ET 1 0 0 1 79.107 298.963 cm 0 g 0 G 1 0 0 1 -79.107 -298.963 cm BT /F22 8.2889 Tf 83.092 298.963 Td [(\050)]TJ ET 1 0 0 1 86.159 298.963 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -86.159 -298.963 cm BT /F40 8.2889 Tf 86.159 298.963 Td [(Gu)]TJ ET 1 0 0 1 96.404 298.963 cm 0 g 0 G 1 0 0 1 -96.404 -298.963 cm BT /F40 8.2889 Tf 96.404 298.963 Td [(,)]TJ ET 1 0 0 1 98.285 298.963 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 2.309 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -100.594 -298.963 cm BT /F40 8.2889 Tf 100.594 298.963 Td [(2000)]TJ ET 1 0 0 1 118.929 298.963 cm 0 g 0 G 1 0 0 1 -118.929 -298.963 cm BT /F40 8.2889 Tf 118.929 298.963 Td [(;)]TJ ET 1 0 0 1 123.857 298.963 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -123.857 -298.963 cm BT /F40 8.2889 Tf 123.857 298.963 Td [(Sun)]TJ ET 1 0 0 1 137.5 298.963 cm 0 g 0 G 1 0 0 1 2.308 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -139.808 -298.963 cm BT /F40 8.2889 Tf 139.808 298.963 Td [(et)-279(al.)]TJ ET 1 0 0 1 157.617 298.963 cm 0 g 0 G 1 0 0 1 -157.617 -298.963 cm BT /F40 8.2889 Tf 157.617 298.963 Td [(,)]TJ ET 1 0 0 1 159.498 298.963 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 2.309 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -161.807 -298.963 cm BT /F40 8.2889 Tf 161.807 298.963 Td [(2009)]TJ ET 1 0 0 1 180.142 298.963 cm 0 g 0 G 1 0 0 1 -180.142 -298.963 cm BT /F22 8.2889 Tf 180.142 298.963 Td [(\051.)]TJ/F40 8.2889 Tf 7.314 0 Td [(For)-279(any)-278(constant)-278(matrix)-279(Z)]TJ/F179 9.5641 Tf 98.662 0 Td [(D)]TJ ET 1 0 0 1 42.52 298.963 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -298.963 cm BT /F40 8.2889 Tf 42.52 288.393 Td [(Z)]TJ/F22 5.8022 Tf 5.234 3.472 Td [(T)]TJ/F183 9.5641 Tf 6.596 -3.472 Td [(>)]TJ/F22 8.2889 Tf 10.319 0 Td [(0)]TJ/F40 8.2889 Tf 6.951 0 Td [(and)-260(scalars)]TJ/F183 9.5641 Tf 43.012 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(2)]TJ/F183 9.5641 Tf 6.717 1.434 Td [(>)-299(\034)]TJ/F22 5.8022 Tf 14.461 -1.434 Td [(1)]TJ/F183 9.5641 Tf 6.718 1.434 Td [(>)]TJ/F22 8.2889 Tf 10.319 0 Td [(0)]TJ/F40 8.2889 Tf 6.951 0 Td [(such)-260(that)-259(the)-260(following)-259(integrations)]TJ ET 1 0 0 1 42.52 288.393 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -288.393 cm BT /F40 8.2889 Tf 42.52 277.824 Td [(are)-250(well)-250(defined,)-250(then)]TJ ET 1 0 0 1 42.52 277.824 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -16.421 cm 0 g 0 G 1 0 0 1 -42.52 -261.403 cm BT /F22 8.2889 Tf 42.52 261.403 Td [(\0501\051)]TJ ET 1 0 0 1 53.444 261.403 cm 0 g 0 G 1 0 0 1 -10.924 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -261.403 cm BT /F179 9.5641 Tf 57.429 238.913 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\034)]TJ/F22 5.8022 Tf 4.142 -1.435 Td [(12)]TJ/F181 9.5641 Tf 8.811 14.452 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(2)]TJ/F40 8.2889 Tf 9.851 9.922 Td [(x)]TJ/F22 5.8022 Tf 4.069 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Zx)]TJ/F183 9.5641 Tf 8.446 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F166 7.9701 Tf 6.038 0 Td [(6)]TJ/F179 9.5641 Tf 8.856 0 Td [(\000)]TJ/F181 9.5641 Tf 9.054 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F40 8.2889 Tf 9.85 9.922 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(sZ)]TJ/F181 9.5641 Tf 10.21 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F40 8.2889 Tf 9.85 9.922 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F179 9.5641 Tf 3.382 0 Td [(I)]TJ ET 1 0 0 1 42.52 238.913 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -23.131 cm 0 g 0 G 1 0 0 1 -42.52 -215.782 cm BT /F22 8.2889 Tf 42.52 215.782 Td [(\0502\051)]TJ ET 1 0 0 1 53.444 215.782 cm 0 g 0 G 1 0 0 1 -10.924 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -215.782 cm BT /F179 9.5641 Tf 57.429 193.292 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\034)]TJ/F40 5.8022 Tf 4.142 -1.435 Td [(s)]TJ/F181 9.5641 Tf 4.459 14.452 Td [(Z)]TJ/F179 6.6948 Tf 9.43 -2.585 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F179 6.6948 Tf -12.501 -17.649 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F181 9.5641 Tf 9.85 22.94 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.585 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F40 8.2889 Tf 5.707 8.57 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Zx)]TJ/F183 9.5641 Tf 8.447 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 42.52 193.292 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -193.292 cm BT /F166 7.9701 Tf 65.718 165.055 Td [(6)]TJ/F179 9.5641 Tf 8.856 0 Td [(\000)]TJ/F181 9.5641 Tf 9.054 13.017 Td [(Z)]TJ/F179 6.6948 Tf 9.43 -2.584 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F179 6.6948 Tf -12.501 -17.649 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F181 9.5641 Tf 9.85 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F40 8.2889 Tf 5.707 8.569 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ/F40 8.2889 Tf 5.164 0 Td [(Z)]TJ/F181 9.5641 Tf 6.829 13.017 Td [(Z)]TJ/F179 6.6948 Tf 9.43 -2.584 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F179 6.6948 Tf -12.501 -17.649 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(2)]TJ/F181 9.5641 Tf 9.851 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F40 8.2889 Tf 5.707 8.569 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)-100(:)]TJ ET 1 0 0 1 42.52 165.055 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -165.055 cm BT /F22 8.2889 Tf 54.475 135.511 Td [(Before)-282(presenting)]TJ ET 1 0 0 1 124.626 135.511 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -124.626 -135.511 cm BT /F22 8.2889 Tf 124.626 135.511 Td [(Theorem)-282(2)]TJ ET 1 0 0 1 165.914 135.511 cm 0 g 0 G 1 0 0 1 -165.914 -135.511 cm BT /F22 8.2889 Tf 165.914 135.511 Td [(,)-282(which)-282(gives)-283(a)-282(sufficient)-282(stability)]TJ ET 1 0 0 1 42.52 135.511 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -135.511 cm BT /F22 8.2889 Tf 42.52 124.942 Td [(condition)-323(for)-323(system)]TJ ET 1 0 0 1 124.896 124.942 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -124.896 -124.942 cm BT /F22 8.2889 Tf 124.896 124.942 Td [(\0501\051)]TJ ET 1 0 0 1 135.821 124.942 cm 0 g 0 G 1 0 0 1 -135.821 -124.942 cm BT /F22 8.2889 Tf 135.821 124.942 Td [(,)-323(we)-323(define)]TJ/F183 9.5641 Tf 45.375 0 Td [(\030)-110(.)]TJ/F40 8.2889 Tf 8.694 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 7.777 0 Td [(D)]TJ/F40 8.2889 Tf 11.67 0 Td [(col)]TJ/F179 9.5641 Tf 10.419 0 Td [(f)]TJ/F40 8.2889 Tf 3.539 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/;)]TJ/F40 8.2889 Tf 8.327 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 6.39 0 Td [(\000)]TJ/F183 9.5641 Tf 10.206 0 Td [(\034)-120(.)]TJ/F40 8.2889 Tf 8.857 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//;)]TJ ET 1 0 0 1 42.52 124.942 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -124.942 cm BT /F40 8.2889 Tf 42.52 113.112 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 8.482 0 Td [(\000)]TJ/F183 9.5641 Tf 12.3 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(1)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/;)]TJ/F40 8.2889 Tf 8.327 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 8.483 0 Td [(\000)]TJ/F183 9.5641 Tf 12.299 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/;)]TJ/F179 9.5641 Tf 8.769 0.174 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 8.483 0 Td [(\000)]TJ/F183 9.5641 Tf 12.299 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(1)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/;)]TJ/F179 9.5641 Tf 8.77 0.174 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 8.483 0 Td [(\000)]TJ/F183 9.5641 Tf 12.299 0 Td [(\034)]TJ/F22 5.8022 Tf 4.142 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(/;)]TJ/F181 9.5641 Tf 8.327 7.704 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.584 Td [(t)]TJ -1.855 -8.376 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(1)]TJ/F40 8.2889 Tf 5.47 4.609 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(;)]TJ/F181 9.5641 Tf 4.76 7.704 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -12.526 -7.023 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ ET 1 0 0 1 42.52 113.112 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -113.112 cm BT /F40 8.2889 Tf 42.52 97.788 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(;)]TJ/F181 9.5641 Tf 4.76 7.703 Td [(R)]TJ/F40 5.8022 Tf 6.235 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.2 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F40 5.8022 Tf -18.377 -8.376 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F40 8.2889 Tf 12.295 4.61 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ/F179 9.5641 Tf 3.382 0 Td [(g)]TJ/F22 8.2889 Tf 3.539 0 Td [(,)-267(and)]TJ/F40 8.2889 Tf 20.622 0 Td [(e)]TJ/F40 5.8022 Tf 3.979 -1.435 Td [(i)]TJ/F22 8.2889 Tf 4.375 1.435 Td [(\050)]TJ/F40 8.2889 Tf 3.067 0 Td [(i)]TJ/F179 9.5641 Tf 5.398 0 Td [(D)]TJ/F22 8.2889 Tf 10.488 0 Td [(1)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(2)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)-167(:)-166(:)-167(:)-167(;)]TJ/F22 8.2889 Tf 22.191 0 Td [(9\051)-268(are)-267(block)-267(entry)-268(ma-)]TJ ET 1 0 0 1 42.52 97.788 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -97.788 cm BT /F22 8.2889 Tf 42.52 84.209 Td [(trices.)-250(For)-250(example,)]TJ/F40 8.2889 Tf 76.158 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.52 Td [(T)]TJ 0 -6.213 Td [(2)]TJ/F179 9.5641 Tf 6.514 2.693 Td [(D)]TJ/F22 8.2889 Tf 10.117 0.085 Td [([)]TJ 2.992 -0.085 Td [(0)]TJ/F40 8.2889 Tf 8.944 0 Td [(I)]TJ/F22 8.2889 Tf 7.315 0 Td [(0)-500(0)-500(0)-500(0)-500(0)-500(0)-500(0)]TJ 58.461 0.085 Td [(])]TJ 2.992 -0.085 Td [(.)]TJ ET 1 0 0 1 42.52 84.209 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -22.709 cm 0 g 0 G 1 0 0 1 -38.535 -61.5 cm BT /F153 8.2889 Tf 42.52 61.5 Td [(Theorem)-250(2.)]TJ ET 1 0 0 1 87.52 61.5 cm 0 g 0 G 1 0 0 1 -87.52 -61.5 cm BT /F40 8.2889 Tf 91.505 61.5 Td [(Given)-262(scalars)]TJ/F22 8.2889 Tf 50.115 0 Td [(0)]TJ/F183 9.5641 Tf 7.712 0 Td [(<)-304(\034)]TJ/F22 5.8022 Tf 14.513 -1.435 Td [(1)]TJ/F183 9.5641 Tf 6.77 1.435 Td [(<)-305(\034)]TJ/F22 5.8022 Tf 14.514 -1.435 Td [(2)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(,)-262(and)]TJ/F22 8.2889 Tf 20.043 0 Td [(0)]TJ/F166 7.9701 Tf 7.711 0 Td [(6)]TJ/F183 9.5641 Tf 9.112 0 Td [(\026)]TJ/F40 8.2889 Tf 6.561 0 Td [(,)-262(system)]TJ ET 1 0 0 1 263.821 61.5 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -263.821 -61.5 cm BT /F22 8.2889 Tf 263.821 61.5 Td [(\0501\051)]TJ ET 1 0 0 1 274.746 61.5 cm 0 g 0 G 1 0 0 1 -274.746 -61.5 cm BT /F40 8.2889 Tf 276.918 61.5 Td [(with)]TJ ET 1 0 0 1 42.52 61.5 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -61.5 cm BT /F40 8.2889 Tf 42.52 50.93 Td [(a)-272(time-varying)-273(delay)-272(satisfying)]TJ ET 1 0 0 1 158.66 50.93 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -158.66 -50.93 cm BT /F22 8.2889 Tf 158.66 50.93 Td [(\0502\051)]TJ ET 1 0 0 1 169.584 50.93 cm 0 g 0 G 1 0 0 1 -169.584 -50.93 cm BT /F40 8.2889 Tf 171.843 50.93 Td [(and)]TJ ET 1 0 0 1 187.92 50.93 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -187.92 -50.93 cm BT /F22 8.2889 Tf 187.92 50.93 Td [(\0503\051)]TJ ET 1 0 0 1 198.844 50.93 cm 0 g 0 G 1 0 0 1 -198.844 -50.93 cm BT /F40 8.2889 Tf 201.103 50.93 Td [(is)-273(asymptotically)-272(stable)-273(if)]TJ ET 1 0 0 1 42.52 50.93 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -50.93 cm BT /F40 8.2889 Tf 42.52 40.361 Td [(there)-265(exist)-265(matrices)-265(P)]TJ/F179 9.5641 Tf 81.66 0 Td [(D)]TJ/F181 9.5641 Tf 10.434 7.689 Td [(\002)]TJ/F40 8.2889 Tf 3.768 -7.689 Td [(P)]TJ/F40 5.8022 Tf 4.468 -1.435 Td [(ij)]TJ/F181 9.5641 Tf 3.834 9.124 Td [(\003)]TJ/F22 5.8022 Tf 3.768 -11.371 Td [(5)]TJ/F179 6.6948 Tf 3.36 0 Td [(\002)]TJ/F22 5.8022 Tf 5.248 0 Td [(5)]TJ/F183 9.5641 Tf 6.831 3.682 Td [(>)]TJ/F22 8.2889 Tf 10.434 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-265(Q)]TJ/F40 5.8022 Tf 9.73 -1.435 Td [(i)]TJ/F183 9.5641 Tf 5.131 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.433 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-265(i)]TJ/F179 9.5641 Tf 9.422 0 Td [(D)]TJ/F22 8.2889 Tf 10.433 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)-167(:)-166(:)-167(:)-167(;)]TJ/F22 8.2889 Tf 22.192 0 Td [(5)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-265(Z)]TJ/F40 5.8022 Tf 8.454 -1.435 Td [(j)]TJ/F183 9.5641 Tf 5.148 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.433 0 Td [(0)]TJ/F40 8.2889 Tf 4.8 0 Td [(,)]TJ ET 1 0 0 1 42.52 40.361 cm 0 g 0 G 0 g 0 G 1 0 0 1 260.025 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 -302.545 -40.361 cm BT /F40 8.2889 Tf 311.511 720.809 Td [(j)]TJ/F179 9.5641 Tf 5.149 0 Td [(D)]TJ/F22 8.2889 Tf 10.213 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)-167(:)-166(:)-167(:)-167(;)]TJ/F22 8.2889 Tf 22.192 0 Td [(4)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-255(R)]TJ/F22 5.8022 Tf 8.857 -1.435 Td [(1)]TJ/F183 9.5641 Tf 6.611 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.213 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-255(R)]TJ/F22 5.8022 Tf 8.857 -1.435 Td [(2)]TJ/F183 9.5641 Tf 6.611 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.213 0 Td [(0)]TJ/F40 8.2889 Tf 6.909 0 Td [(with)-254(appropriate)-255(dimensions)-255(such)-254(that)]TJ ET 1 0 0 1 311.511 720.809 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -720.809 cm BT /F40 8.2889 Tf 311.511 710.005 Td [(the)-250(following)-250(LMIs)-250(hold:)]TJ ET 1 0 0 1 311.511 710.005 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -710.005 cm BT /F183 9.2055 Tf 311.511 689.51 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(1)]TJ/F179 9.5641 Tf 8.839 1.435 Td [(D)]TJ/F183 9.2055 Tf 12.441 0 Td [(\000)]TJ/F40 8.2889 Tf 7.567 0 Td [(P)]TJ/F183 9.2055 Tf 5.243 0 Td [(\007)]TJ/F22 5.8022 Tf 7.742 3.95 Td [(T)]TJ/F179 9.5641 Tf 5.861 -3.95 Td [(C)]TJ/F183 9.2055 Tf 9.585 0 Td [(\007)]TJ/F40 8.2889 Tf 7.742 0 Td [(P)]TJ/F183 9.2055 Tf 5.242 0 Td [(\000)]TJ/F22 5.8022 Tf 7.567 3.95 Td [(T)]TJ/F179 9.5641 Tf 5.861 -3.95 Td [(C)]TJ/F183 9.2055 Tf 9.586 0 Td [(\003)]TJ/F179 9.5641 Tf 9.453 0 Td [(C)]TJ/F40 8.2889 Tf 9.585 0 Td [(A)]TJ/F22 5.8022 Tf 5.031 3.95 Td [(T)]TJ/F40 5.8022 Tf 0 -6.523 Td [(c)]TJ/F40 8.2889 Tf 3.736 2.573 Td [(YA)]TJ/F40 5.8022 Tf 9.748 -1.435 Td [(c)]TJ/F179 9.5641 Tf 5.643 1.435 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.982 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(3)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.982 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)]TJ/F179 9.5641 Tf -198.48 -12.538 Td [(\000)]TJ/F22 8.2889 Tf 9.054 0 Td [(2)]TJ/F183 9.5641 Tf 4.799 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(2)]TJ/F179 9.5641 Tf 5.982 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(4)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F179 9.5641 Tf 5.982 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(4)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)]TJ/F179 9.5641 Tf 5.693 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F183 9.5641 Tf 3.857 2.573 Td [(/)]TJ/F179 9.5641 Tf -176.536 -12.538 Td [(\000)]TJ/F40 8.2889 Tf 9.054 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(8)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(8)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F22 8.2889 Tf 9.585 0 Td [(2)]TJ/F40 8.2889 Tf 4.8 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(9)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(9)]TJ/F179 9.5641 Tf 5.982 2.572 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.434 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(7)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 -1.434 Td [(1)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.434 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(1)]TJ/F179 9.5641 Tf 5.982 2.572 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.522 Td [(7)]TJ/F183 9.5641 Tf 3.858 2.572 Td [(/)]TJ/F179 9.5641 Tf -175.277 -12.537 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.434 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.982 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(8)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(9)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.434 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(8)]TJ/F179 9.5641 Tf 5.982 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(9)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.341 0 Td [(0)-5504(\0504\051)]TJ ET 1 0 0 1 311.511 651.898 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -651.898 cm BT /F183 9.2055 Tf 311.511 634.379 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.434 Td [(2)]TJ/F179 9.5641 Tf 8.839 1.434 Td [(D)]TJ/F183 9.2055 Tf 12.441 0 Td [(\000)]TJ/F40 8.2889 Tf 7.567 0 Td [(P)]TJ/F183 9.2055 Tf 5.243 0 Td [(\007)]TJ/F22 5.8022 Tf 7.742 3.95 Td [(T)]TJ/F179 9.5641 Tf 5.861 -3.95 Td [(C)]TJ/F183 9.2055 Tf 9.585 0 Td [(\007)]TJ/F40 8.2889 Tf 7.742 0 Td [(P)]TJ/F183 9.2055 Tf 5.242 0 Td [(\000)]TJ/F22 5.8022 Tf 7.567 3.95 Td [(T)]TJ/F179 9.5641 Tf 5.861 -3.95 Td [(C)]TJ/F183 9.2055 Tf 9.586 0 Td [(\003)]TJ/F179 9.5641 Tf 9.453 0 Td [(C)]TJ/F40 8.2889 Tf 9.585 0 Td [(A)]TJ/F22 5.8022 Tf 5.031 3.95 Td [(T)]TJ/F40 5.8022 Tf 0 -6.522 Td [(c)]TJ/F40 8.2889 Tf 3.736 2.572 Td [(YA)]TJ/F40 5.8022 Tf 9.748 -1.434 Td [(c)]TJ/F179 9.5641 Tf 5.643 1.434 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.982 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(3)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(1)]TJ/F179 9.5641 Tf 5.982 2.572 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.522 Td [(3)]TJ/F183 9.5641 Tf 3.858 2.572 Td [(/)]TJ/F179 9.5641 Tf -198.48 -12.537 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(4)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(4)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)]TJ/F179 9.5641 Tf 5.692 0 Td [(\000)]TJ/F22 8.2889 Tf 9.586 0 Td [(2)]TJ/F183 9.5641 Tf 4.799 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F183 9.5641 Tf 3.857 2.573 Td [(/)]TJ/F179 9.5641 Tf -176.536 -12.537 Td [(\000)]TJ/F22 8.2889 Tf 9.054 0 Td [(2)]TJ/F40 8.2889 Tf 4.799 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(8)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(4)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(8)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(9)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(4)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(9)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(7)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(7)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)]TJ/F179 9.5641 Tf -175.277 -12.537 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.435 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(8)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(9)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.435 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(8)]TJ/F179 9.5641 Tf 5.982 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(9)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.341 0 Td [(0)-5504(\0505\051)]TJ ET 1 0 0 1 311.511 596.768 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -596.768 cm BT /F40 8.2889 Tf 311.511 578.612 Td [(where)]TJ ET 1 0 0 1 311.511 578.612 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -578.612 cm BT /F183 9.2055 Tf 311.511 560.456 Td [(\000)]TJ/F179 9.5641 Tf 10.224 0 Td [(D)]TJ/F22 8.2889 Tf 10.116 0.084 Td [([)]TJ/F40 8.2889 Tf 2.992 -0.084 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(1)]TJ/F40 8.2889 Tf 8.002 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F40 8.2889 Tf 8.002 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(4)]TJ/F40 8.2889 Tf 8.002 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(7)]TJ/F40 8.2889 Tf 8.002 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(8)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(9)]TJ/F22 8.2889 Tf 3.857 1.519 Td [(])]TJ ET 1 0 0 1 311.511 560.456 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -560.456 cm BT /F183 9.2055 Tf 311.511 546.663 Td [(\007)]TJ/F179 9.5641 Tf 10.398 0 Td [(D)]TJ/F181 9.5641 Tf 10.117 7.689 Td [(\002)]TJ/F40 8.2889 Tf 3.768 -7.689 Td [(A)]TJ/F22 5.8022 Tf 5.032 3.95 Td [(T)]TJ/F40 5.8022 Tf 0 -6.523 Td [(c)]TJ/F40 8.2889 Tf 7.88 2.573 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(5)]TJ/F40 8.2889 Tf 8.002 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(6)]TJ/F40 8.2889 Tf 8.002 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F40 8.2889 Tf 8.002 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(4)]TJ/F181 9.5641 Tf 3.858 9.124 Td [(\003)]TJ ET 1 0 0 1 311.511 546.663 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -546.663 cm BT /F183 9.2055 Tf 311.511 530.927 Td [(\003)]TJ/F179 9.5641 Tf 12.309 0 Td [(D)]TJ/F22 8.2889 Tf 12.441 0 Td [(diag)]TJ/F179 9.5641 Tf 16.205 0 Td [(f)]TJ/F40 8.2889 Tf 3.539 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.982 1.434 Td [(C)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ -1.148 -6.522 Td [(1)]TJ/F40 8.2889 Tf 5.005 2.572 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ -1.148 -6.522 Td [(12)]TJ/F40 8.2889 Tf 7.217 2.572 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(4)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(;)]TJ/F179 9.5641 Tf 8.958 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F179 9.5641 Tf 6.925 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\026/)]TJ/F40 8.2889 Tf 10.129 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(3)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(;)]TJ/F179 9.5641 Tf 8.958 0 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F40 8.2889 Tf 9.585 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(2)]TJ/F179 9.5641 Tf -193.324 -9.026 Td [(C)]TJ/F40 8.2889 Tf 9.054 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(;)]TJ/F179 9.5641 Tf 8.957 0 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(;)]TJ/F179 9.5641 Tf 8.957 0 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(4)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F40 8.2889 Tf 9.586 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(5)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(;)]TJ/F179 9.5641 Tf 8.957 0 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(5)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(;)]TJ/F179 9.5641 Tf 8.958 0 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(3)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(;)]TJ/F22 8.2889 Tf 6.832 0 Td [(0)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 6.832 0 Td [(0)]TJ/F179 9.5641 Tf 4.799 0 Td [(g)]TJ ET 1 0 0 1 311.511 520.467 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -520.467 cm BT /F40 8.2889 Tf 311.511 506.674 Td [(A)]TJ/F40 5.8022 Tf 5.031 -1.435 Td [(c)]TJ/F179 9.5641 Tf 6.175 1.435 Td [(D)]TJ/F22 8.2889 Tf 10.117 0.084 Td [([)]TJ/F40 8.2889 Tf 2.992 -0.084 Td [(A)-500(A)]TJ/F22 5.8022 Tf 14.207 -1.435 Td [(1)]TJ/F22 8.2889 Tf 8.002 1.435 Td [(0)-500(0)-500(0)-500(0)-500(0)-500(0)-500(0)]TJ 58.461 0.084 Td [(])]TJ ET 1 0 0 1 311.511 506.674 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -506.674 cm BT /F40 8.2889 Tf 311.511 486.348 Td [(Y)]TJ/F179 9.5641 Tf 8.521 0 Td [(D)]TJ/F40 8.2889 Tf 10.117 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(4)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ -1.148 -6.523 Td [(1)]TJ/F40 8.2889 Tf 5.005 2.573 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ -1.148 -6.523 Td [(12)]TJ/F40 8.2889 Tf 7.217 2.573 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F183 9.5641 Tf 10.781 6.704 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.52 Td [(4)]TJ -1.148 -6.212 Td [(1)]TJ ET q 1 0 0 1 412.96 488.739 cm []0 d 0 J 0.44 w 0 0 m 9.147 0 l S Q BT /F22 8.2889 Tf 415.133 479.558 Td [(4)]TJ/F40 8.2889 Tf 8.169 6.79 Td [(R)]TJ/F22 5.8022 Tf 4.865 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ/F40 5.8022 Tf -1.147 -6.523 Td [(s)]TJ/F40 8.2889 Tf 5.005 2.573 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(:)]TJ ET 1 0 0 1 311.511 486.348 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -30.323 cm 0 g 0 G 1 0 0 1 -307.526 -456.025 cm BT /F153 8.2889 Tf 311.511 456.025 Td [(Proof.)]TJ ET 1 0 0 1 335.739 456.025 cm 0 g 0 G 1 0 0 1 -335.739 -456.025 cm BT /F22 8.2889 Tf 339.724 456.025 Td [(Construct)-250(a)-250(Lyapunov)-250(functional)-250(as)-250(follows:)]TJ ET 1 0 0 1 311.511 456.025 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -456.025 cm BT /F40 8.2889 Tf 311.511 431.643 Td [(V)]TJ/F183 9.5641 Tf 6.221 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(x)]TJ/F40 5.8022 Tf 4.07 -1.434 Td [(t)]TJ/F183 9.5641 Tf 3.048 1.434 Td [(/)]TJ/F179 9.5641 Tf 7.054 0 Td [(D)]TJ/F183 9.5641 Tf 10.947 0 Td [(\020)]TJ/F22 5.8022 Tf 5.356 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(P)]TJ/F183 9.5641 Tf 5.242 0 Td [(\020)-130(.)]TJ/F40 8.2889 Tf 8.924 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.692 0 Td [(C)]TJ/F181 9.5641 Tf 9.586 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(1)]TJ/F40 8.2889 Tf 5.47 9.922 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 311.511 431.643 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -431.643 cm BT /F179 9.5641 Tf 346.418 403.407 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.431 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F40 8.2889 Tf 9.85 9.922 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F179 9.5641 Tf 5.507 0 Td [(C)]TJ/F181 9.5641 Tf 9.586 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F40 8.2889 Tf 4.589 8.569 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ ET 1 0 0 1 311.511 403.407 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -403.407 cm BT /F179 9.5641 Tf 346.418 375.171 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.016 Td [(Z)]TJ/F40 5.8022 Tf 9.431 -2.584 Td [(t)]TJ -4.381 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F179 9.5641 Tf 5.912 10.097 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(4)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.069 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F179 9.5641 Tf 5.507 0 Td [(C)]TJ/F181 9.5641 Tf 9.585 13.016 Td [(Z)]TJ/F40 5.8022 Tf 9.431 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.052 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F179 9.5641 Tf 10.293 10.097 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(5)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ ET 1 0 0 1 311.511 375.171 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -375.171 cm BT /F179 9.5641 Tf 346.418 346.378 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F22 5.8022 Tf 9.431 -2.585 Td [(0)]TJ/F179 6.6948 Tf -4.381 -19.002 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F181 9.5641 Tf 5.47 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F183 9.5641 Tf 5.707 8.57 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(1)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 311.511 346.378 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -346.378 cm BT /F179 9.5641 Tf 346.418 318.141 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F179 6.6948 Tf 9.431 -2.584 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(1)]TJ/F179 6.6948 Tf -12.501 -17.649 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F181 9.5641 Tf 9.85 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F183 9.5641 Tf 5.707 8.569 Td [(\034)]TJ/F22 5.8022 Tf 4.142 -1.434 Td [(12)]TJ/F179 9.5641 Tf 7.659 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.069 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 311.511 318.141 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -318.141 cm BT /F179 9.5641 Tf 346.418 289.349 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.016 Td [(Z)]TJ/F22 5.8022 Tf 9.431 -2.584 Td [(0)]TJ/F179 6.6948 Tf -4.381 -19.002 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F181 9.5641 Tf 5.47 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F183 9.5641 Tf 5.707 8.57 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.949 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.949 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(3)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 311.511 289.349 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -289.349 cm BT /F179 9.5641 Tf 346.418 261.112 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F179 6.6948 Tf 9.431 -2.584 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(1)]TJ/F179 6.6948 Tf -12.501 -17.649 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F181 9.5641 Tf 9.85 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F183 9.5641 Tf 5.707 8.569 Td [(\034)]TJ/F22 5.8022 Tf 4.142 -1.434 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.434 Td [(x)]TJ/F22 5.8022 Tf 4.069 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 311.511 261.112 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -261.112 cm BT /F179 9.5641 Tf 346.418 232.319 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F22 5.8022 Tf 9.431 -2.584 Td [(0)]TJ/F179 6.6948 Tf -4.381 -19.002 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F181 9.5641 Tf 5.47 22.939 Td [(Z)]TJ/F22 5.8022 Tf 9.43 -2.584 Td [(0)]TJ/F183 6.6948 Tf -4.38 -19.002 Td [(\022)]TJ/F181 9.5641 Tf 9.832 21.586 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.381 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\025)]TJ/F183 9.5641 Tf 6.95 15.274 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.519 Td [(2)]TJ -1.148 -6.212 Td [(1)]TJ ET q 1 0 0 1 410.36 234.71 cm []0 d 0 J 0.44 w 0 0 m 9.147 0 l S Q BT /F22 8.2889 Tf 412.534 225.529 Td [(2)]TJ/F179 9.5641 Tf 8.611 6.964 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.434 Td [(1)]TJ/F179 9.5641 Tf 4.3 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.069 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(sd)]TJ/F183 9.5641 Tf 7.99 0 Td [(\025)]TJ/F22 8.2889 Tf 5.232 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 311.511 232.319 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -232.319 cm BT /F179 9.5641 Tf 346.418 201.534 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F179 6.6948 Tf 9.431 -2.584 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(1)]TJ/F179 6.6948 Tf -12.501 -17.649 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F181 9.5641 Tf 9.85 22.939 Td [(Z)]TJ/F22 5.8022 Tf 9.43 -2.584 Td [(0)]TJ/F183 6.6948 Tf -4.38 -19.002 Td [(\022)]TJ/F181 9.5641 Tf 9.832 21.586 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\025)]TJ/F183 9.5641 Tf 5.754 8.569 Td [(\034)]TJ/F40 5.8022 Tf 4.141 -1.435 Td [(s)]TJ/F179 9.5641 Tf 3.308 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.069 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 -1.435 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\025)]TJ/F22 8.2889 Tf 5.232 0 Td [(d)]TJ/F183 9.5641 Tf 4.931 0 Td [(\022)]TJ/F22 8.2889 Tf 66.053 0 Td [(\0506\051)]TJ ET 1 0 0 1 311.511 201.534 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -201.534 cm BT /F22 8.2889 Tf 311.511 174.248 Td [(where)]TJ/F183 9.5641 Tf 27.299 0 Td [(\020)-130(.)]TJ/F40 8.2889 Tf 8.923 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 8.699 0 Td [(D)]TJ/F40 8.2889 Tf 12.591 0 Td [(col)]TJ/F179 9.5641 Tf 10.419 0 Td [(f)]TJ/F40 8.2889 Tf 3.539 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/;)]TJ/F40 8.2889 Tf 9.921 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 6.758 0 Td [(\000)]TJ/F183 9.5641 Tf 10.576 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/;)]TJ/F40 8.2889 Tf 8.328 0 Td [(x)]TJ/F183 9.5641 Tf 4.069 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(t)]TJ/F179 9.5641 Tf 6.758 0 Td [(\000)]TJ/F183 9.5641 Tf 10.575 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/;)]TJ/F181 9.5641 Tf 9.921 7.703 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.584 Td [(t)]TJ -1.856 -8.376 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 8.2889 Tf 5.47 4.61 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(;)]TJ/F181 9.5641 Tf 6.354 7.703 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -12.527 -7.023 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ ET 1 0 0 1 311.511 174.248 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -174.248 cm BT /F40 8.2889 Tf 311.511 162.071 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F179 9.5641 Tf 3.382 0 Td [(g)]TJ/F22 8.2889 Tf 3.539 0 Td [(.)]TJ ET 1 0 0 1 311.511 162.071 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -162.071 cm BT /F22 8.2889 Tf 323.466 150.58 Td [(Taking)-521(the)-520(time)-521(derivative)-521(of)]TJ/F40 8.2889 Tf 123.061 0 Td [(V)]TJ/F183 9.5641 Tf 6.221 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(x)]TJ/F40 5.8022 Tf 4.07 -1.435 Td [(t)]TJ/F183 9.5641 Tf 3.048 1.435 Td [(/)]TJ/F22 8.2889 Tf 7.884 0 Td [(along)-521(the)-520(trajectory)-521(of)]TJ ET 1 0 0 1 311.511 150.58 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -150.58 cm BT /F22 8.2889 Tf 311.511 139.776 Td [(system)]TJ ET 1 0 0 1 340.655 139.776 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -340.655 -139.776 cm BT /F22 8.2889 Tf 340.655 139.776 Td [(\0501\051)]TJ ET 1 0 0 1 351.579 139.776 cm 0 g 0 G 1 0 0 1 -351.579 -139.776 cm BT /F22 8.2889 Tf 353.651 139.776 Td [(yields)]TJ ET 1 0 0 1 311.511 139.776 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -139.776 cm BT /F179 9.5641 Tf 313.029 123.58 Td [(P)]TJ/F40 8.2889 Tf -1.518 -1.96 Td [(V)]TJ/F183 9.5641 Tf 6.221 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(x)]TJ/F40 5.8022 Tf 4.07 -1.435 Td [(t)]TJ/F183 9.5641 Tf 3.048 1.435 Td [(/)]TJ/F179 9.5641 Tf 7.054 0 Td [(D)]TJ/F22 8.2889 Tf 10.947 0 Td [(2)]TJ/F183 9.5641 Tf 4.8 0 Td [(\020)]TJ/F22 5.8022 Tf 5.355 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(P)]TJ/F179 9.5641 Tf 6.328 1.913 Td [(P)]TJ/F183 9.5641 Tf -1.085 -1.913 Td [(\020)-130(.)]TJ/F40 8.2889 Tf 8.923 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.693 0 Td [(C)]TJ/F40 8.2889 Tf 9.585 0 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/.)]TJ/F40 8.2889 Tf 7.135 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ -1.148 -6.523 Td [(1)]TJ/F40 8.2889 Tf 5.006 2.573 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ -1.147 -6.523 Td [(12)]TJ/F40 8.2889 Tf 7.217 2.573 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(4)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ ET 1 0 0 1 311.511 121.62 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -121.62 cm BT /F179 9.5641 Tf 346.418 106.659 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(1)]TJ/F179 9.5641 Tf 6.924 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\026/)]TJ/F40 8.2889 Tf 10.128 0 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 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-1.435 Td [(1)]TJ/F179 9.5641 Tf 5.982 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 5.768 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ ET 1 0 0 1 311.511 92.866 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -92.866 cm BT /F179 9.5641 Tf 346.418 79.073 Td [(\000)]TJ/F40 8.2889 Tf 9.054 0 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F179 9.5641 Tf 5.769 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 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8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Y)]TJ/F179 9.5641 Tf 6.307 0.174 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ ET 1 0 0 1 311.511 65.28 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -65.28 cm BT /F179 9.5641 Tf 346.418 45.302 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(\034)]TJ/F22 5.8022 Tf 4.142 -1.435 Td [(1)]TJ/F181 9.5641 Tf 5.451 14.452 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.585 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F179 9.5641 Tf 5.912 10.097 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(1)]TJ/F179 9.5641 Tf 4.301 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ/F179 9.5641 Tf 5.508 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(12)]TJ/F181 9.5641 Tf 8.811 14.452 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.585 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F179 9.5641 Tf 10.293 10.097 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 311.511 45.302 cm 0 g 0 G 0 g 0 G 1 0 0 1 -268.991 -16.896 cm 0 g 0 G 1 0 0 1 520.05 0 cm 0 g 0 G endstream endobj 310 0 obj <> /ProcSet [ /PDF /Text ] >> endobj 311 0 obj <> endobj 312 0 obj [ 880 ] endobj 313 0 obj <> endobj 314 0 obj <>stream %!PS-AdobeFont-1.1: MTMS 1.000 %%CreationDate: 1996 Aug 26 20:27:40 % Copyright (c) 1996 Michael Spivak. % Hinting Copyright (c) 1996 Y&Y, Inc. 11 dict begin /FontInfo 9 dict dup begin /version (1.000) readonly def /Notice (Copyright (c) 1996 Michael Spivak. 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X:OeD=ڗ3.J2 鍓t'qc,nrb-?nk]F&^6Ņr&H+RH˳!qrGw`OL^)(:-'"kțrS/[':[HCPGՅupj6B B3 {Go֠i~Ġ| DƠ=V8|ܝU J(?qԏ-9Va)`\4_"YO|,:< +JAǙ>DPZ }\0>Va[E:5GGG*+B9 #V<(WU>70eKRE2&><";zFs0`uT-K|jQ;YMK^gttsB/FN]NODQXL06ܧy.YЙ<p(Pfih6:oԏK^ʋqʔ"+In (GcX'X(Yw(*}i8zSA~&c[b.$((#j c$۟ۋNb w~2:0*,k]WdcPmb,/J(oR> jJfhծ'g[HEbJ&YЄ-l-謴ț2>5;bA*;T_8M؉}I1n-p'+?B$<=̰z_W@Dͩ)_됛Aic=DP ^,Z-RѶq$A<㪸M- E9d2wÐA]Qdq!mW!e1 7R>wTlqMSiЧvqdijb\kG3S tdmo_oY_ @4*MǮ.LTK agg;5)" ;G:kkbZ&ܒ=&Ю{2ŭB@bxS8F>@RF>qHC|ua p 1O-.i>;Fωތ%"{?1OK K%]D~ C/7} <]jdET]F\2\'J$+UIG(ꃣP&s'}"ݯ{DTECӼ4gʂRok`$w$v/J*YWF3)mԊPkJpȖ)=+%zA%km}UO7[F}e[n5FߤU$hpDZY$*= F(a(!UĊqۇ[4X68L-ؽ(GM)u6@MF2'#ZC(,nRCS,ҿt:i 5l:۶,9M4ے,SYp1Bk4+9 & z|qżDԫ[C"Ak1*a*> {|?q9/ J=`+4g7&OEG]p]bP ,'e/5Ͼ2N0O3AZ PnWI)NfgJA\)d?!eԮ| Wj]lMN5ۧ"OcrHAԖnIfyt,KEVd7Kv?pE/f\X} :3eCT{^i6UUźwcH~&UY)cCcS(Y cjlU/xmޙ(ߙq5 ]oja5cX2>t+ &f؆0pO +:s$R-2j4oƲ"mnu7> « L*9iD/[EM"uEYND6|SH̤#ATAmrxy,[|gdyi꿖%R-p 0OD@~3ۃ7VJxY)ZҼҾU_|ڗn2Mȕ^nfzf O|o`:O:h є=HL[^np" vٓ'rYrl_42ԀYEfH1Hmk c230C[O_r@[sۇmj)?n^O~}aPpSPbCkrZž]AX_ sqkݔ!>֋Pn;F$$9ĿcR42ʅ҃T3A_6f VY3稫K2,Y\Ry,c2ˇi5 &l"9ݱ1AjyyM*0zQm=HYz ([bx9]'.S(1R2lJ5J(@_GΜ>sG H GUs;/X@R99f!q"N*rTt&ʅyI=eA:[vC^tAVupq[^<' @tWzlG1Jppqͬ vbhr~lMuFI#^w_< n9ؽSEs!|9G&c2sX ݜq8 3Q! ?wB|/UIUi}ݻhRϐ+~4RbZ,'9޸ 8MEvOZǟe3Vt<2Y} }p mDU;T/JoIN{tB-It-I(õ-vZ;&i8q ?}ƴ.fN˲2kA"XFRx8|.9 ^-n'oZ;L^w_)I.+5TO ׎gv+T`Ϡ *q8ߴڜU&TxdR..Qu= 3H%vku 1ˌJ:XUNunPBtS 36U~ޛ x:MEw`yEYݥ(Ʃ&FZVai7ΡI8'1N*ǵ@2>[?{ج4Դy70rAo4-ف:f UU1'YʴVzJ[U E7-ȈůAT9EzwTC~E{@D'8] ``~gSd_ 8ڦ],0AʦDNtEΆrDpD<o9DE-R!bPo%ѻO=X3:? vi6^-Z!*WcjwWM'uI]Ӥ[jr]⻾uqi) v7C+u HsI/-Yt裬T5nm0.? a}u99TF RW :py9aq.Y\2@kyiv1رm f_  sWeȇi*]3|VYa£ .s+t:w\ %6^ES/G~ai5^}ZF&M̮Y*x@4Sl@x`S#[KdYXLy4,ZtQ5F )h[#zюCl,$Ĥt+ Z|#m|Y}*RSax$Wڪ}f%Ke/Kbd*&jaPŰ`v֧?gxtO8߂9ԅ-=0]A2y<ߍP߷ujto ιdEnC|c#B.kF[Vh;R)mDTZ)(11̧Cz )?R3] -]^Y1B;mYŕs4,rb$?N^wDt&=l}%=PFhu:yO ;Is7W > Ϝ}}vYJqSDJhn^- -iT4 ;=nNtn鋖g(t_"ZNPN+a҃L;ۗp] NY[*./9s`|7 gɯSãcqc'L\R!4Z/ƃڠ&!xتn-'akѵiDRvC]w27miFq\UFҚAF  /B1ə4ײn.@OJQ?b=!u$&>ͺc)ňt(Or =oDxg3&5\7s{!J6Px#*?K(hyB[?mRpMw+jBe=F|Gw\6ʽ$%v=p9knyۊga1Tk/}D?4630;% ڔZz,XvYOS]ѐTٱ)v,N5WF=p;_ͬX[{\ħЭW Qvzkk<2"h s(7Oŵ}zӍqAZ$~Mu2=ʘ||gKyKb|j &ɶ#!;*DqZ|Zc%R.xU0Nd^* P)KS>~-VfDwFe}?JOPG x\%.7Kf)+"#+|'3_)DA^,)p5]2u6}E?5Gn !W i2-Bȓo7:]S\5g1VA; LZ`Q=QۮߒP0ĭ0Rq٘ >{s2 AJoJYG7G$9/o&DAޯlTM)'aPҲu.GQQ9RxiK KP(,@VW}]Wݦf i~+_u뷰 #W?cb M::-݅[''ȋlh|ҷMN>XTD,_‡jƴږg Kyًճk d T JVYeOmsu:7!6e%J zC*U"RHY -,piFӶ}NI?ER]q u [*dܑӼe̘ky7˭G%y9KJukCn`4[_=(5 76 ]%W_ - 'KeJ^~IkA//hTZlÀ :䌛l'|aݫIK#~-?Y :WGx0u{:ԗpxlճN*/] _j8B?tkl/PިQ*L#сQJWVgL5ʅlQ  g1nle@9ڃg.?}=bR !o |Di/ ># 'F+-4u×V[+F4I F ЯꌀDaVGq9k@^ 5s {lF Z eػtaCU]Gz3Ot^v rYE!k?~ά?ĜWi-jIޭc^KFRcPXlryDx2.\EޚS-ij#:bh} uɕͫe-hsmc<3m[^1蛱H5(~Uס^lX2Z>t3tX?͕%Bta5LpQ% +nBj;?8W(찣o;y^ns`YvG}[bt-(yH%߼"k{yɏ6 A(1s'H{ %5\V"ǕcxYmBʞ:>KYHeu?B0.-x` #^d%5s0nmʎMktLn-cGQ ~re4XI |ʣ ?Ί܁8Q14 Ќr&RmD}sB 6 55DO0]{l0pdkW=*&=ouF-H0 } pp ꃉ5:D@Od-'?V * tTIV#,Ot:آ.-j+[=2iw1xڇ˶:U'ژ}מȤl1œzPĭfpq+s&s}61|b[nbnUc\5.e:nqI;@9+x^ӆAW)nBȶ'tjC՗hDn+F<¡+IT/Uߑy 9&}(ƪLz?@i(rb':;֩ri$i\98%7~rN/6)B4NtSLB0v5w[y B/ex.u_EWsUg4M]zJ[4'96!R Uno' DUg>!OĻ{CbєKD0q`#!vX ħv݆mRkh 3ohIh%09>[| D6?T׃ˀ~ YVn[K6ec2`CjynMZ">RY¼Ÿӿ4-~\_UW$ymqLIW,9RmZ/=ǐa.mgU\)A9z3W^g\wj^5[|W"I(/i\, }']9q[iqG.$FxVōFg|w菤KKyL3Ӂ*q1¹V=e ܝaEd-;Б={(Ԅȗ8TM{ {' p7bs:_o!%#~^diX)_8ٺWRA}\Sh.,<40jZӻ(P ~4'LUESjK"|bO: -еagbx"5PQ}GVRG>n-PrPTHo&.?t϶ILyյoSƬ^ Hc+ڬ4 DL[`Xnד$űq{^sseΫ.kֿ%ner5STz B/.DJuʠ4xPZu{Őݞ$Fх*^;,3I)loJWa20l-0h1!,~2TMehX=,p8c$SddG4^8*#,[f!doV)7夹^BMN(JHXd[Uиv 3? 弈O/cz[駍Zasl#!u™i%ԐCqqfʜ QH_e^칪 ¡$؏ak\#m"fBRqGҼgmI4#[٬D3_mDK76vNtZO]ݶ0~xo@g䁘f_~ycB1 bk`=`FIŀ^X{b+8EK-!ϢH0>D'YV̰YtmS7KeoEAƃû?RT+'M%blW_QX Bb_b͌HF$rMXN0 +GQTQ֠ĩxKEA䝽A ~5i~Q#R< Witã8P;J91a~mv+0bqE|UpAZ{ՐaamWO{y@vN,lYG+^6ܲʐh w&NR+agc0Xgq}(a '{j#lg _!nea}whzowg 88>+;%)/r"pbܼr<*UseKqe,/xFB6]fRsn.5'ha-dd[:RiMﺶDЈ&>5 "6nsJ|x:~4qC/  kWD8瑲(Ĭ@һ{]|W,L}=ώ .ٟTQluW\0TOt0 LY T[9oKU/$OJa]7rwfѕC-u)I.7%UIqP]Jr3q) HjԠ ,Rt/8"+X G07&2ic}F0>v&%F ̑]cyno!Pn2a n ^W}'~\]!6tS*e]3ۆ-;s;b-)T׿VKYL07@_ "/u Wa'( ׹/4FLkv &Y%%wV3:ھ!9DUW{,ic1Ί%=XĆrKgxgyo뇭T#С:7SbOU}Xk[ Ғ^)<83_(CеCl=$ W2 )WK:h zbfIc">j;@j/lc~F/p! r;/lw R>LpMRh^2㫚K#Q,~!nAa3ȡ^Zzin6 &E٫  \jG|7RɆo~v`ѠK=emHzhP!|]Ozu 8^ECY=Wn/Tuvzۦ_푎˖e"4aHذ7@)g]&:G+ WJp߼TMVapWkq pҞ/Yi΅)`}DyFD:>jj9fB, ,?amCf9KU/E->";̶]0)пq_h~ȵo <'^s`;Y^/Ԫ4ҍ,sGnA} A036x/ A-9[ecz'1($ti`I %[#*<Ч T͛Cr{ֈ7 0~d0GH]M䇰O#=WH;cvƚD5)|[^D1aEt.rE{ЦP.n2~#BqRtHcQ72M[P\I! S, Ì}Ec.nhA5 - 5yl65r 5Eö' ̬j"WŮѵmˡf8A =IH2Po֏0] X`ܱr;odhNLHڤKT4(]U1d!فuDu0v ]~nyշ4Wm!Rq&WCSDX~`ʁ;w^=OepMox He{ս|0;弜T W4էRFq H*Ѣ`쯫cu.> g(SpkW: U-EfƯZ=/eMOqR`UoWc $(}= PEf C "ȇKf ՝XlʖNEm3rC-$gPh_̨=fpڷV6=A#kBa,a`߹[u'3[)>Dȳ1ō֯{Y N[ļQg›;Ptm"tfR)KB2 !溎7k >۩/֠`71 9X*lW|֑!(dM6Ѭ|xeg&!fH_(:D=(ƿN Ӱ#@^ , ae3t_Yi2݊\LamSӐ!Âg&M:_0ϫ 4ݺ2xV3W0: ֪w7+ G[Vv)sbQxDnvD,*4t jAk*HwOul˒sX!BZ@!A*OGb 51:˙$4;ã k/XE>hZG? yyfn f:/g,:$yY&9'˚A/d[x?3;_CDObG t2Y K!d=*m{7B 8z d2H>k]"i\f,ZvS0v| hAgEvf+? ZxXY#OsG6sTDM f\,0TY0Bq،UbAUm }Z93?Iv^;PFX?ە㿇Јw07d!W+E G?L6T7Sb:kD9^W{΅nu39'fd y[M>~ /xBvU<82&*>8#-ZH &/,b*^EOv~qL‡U130i"f֎!+yW%J8u{Er.B?HsyY3v܌xfҎA'ioߌ,N"RܿgTΧ%!쵧{Pfah~uZS7|l]hU:H@]R;#]u׸˔|+ĭz? l"%͠EGŝoxendstream endobj 315 0 obj <> endobj 316 0 obj [ 777.8 777.8 277.8 666.7 666.7 777.8 777.8 1000 1000 777.8 722.2 888.9 611.1 1000 1000 1000 1000 833.3 833.3 416.7 416.7 416.7 416.7 1111.1 1111.1 1000 1000 500 500 1000 1388.9 1000 1000 777.8 777.8 777.8 777.8 1111.1 666.7 666.7 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 ] endobj 317 0 obj <> endobj 318 0 obj <>stream %!PS-AdobeFont-1.1: MSAM10 2.1 %%CreationDate: 1993 Sep 17 09:05:00 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSAM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /PMEPKZ+MSAM10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 54 /lessorequalslant put dup 3 /square put readonly def /FontBBox{8 -463 1331 1003}readonly def currentdict end currentfile eexec oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou\cg$4b Mٲ:Ix`(],k pF:ȁ,DN֠L'Y@u7ˍL hFdRs9 9X|",ѯQM5$|cCs-ւ?u[ͫ$Pk<`]; XPǑ%Ęqj ?޷ SK1Q)m*;;\Y#R pD?v-ľ%}JZ2TxI '|?ȗ2II>6|yfDAm&68]Vj/.N'TUx|<Rbh zYŎVc .ʕ4pIG*#5σdc\f;ܾUЏAL$Bj9Ա\Q9$m&O"b"i>T-:\ɥOWൣ)en=N&yh-\?niLrujP$S^o3e8_9 5X5}²LUZRVQFa9\AyQ,.Q*DH^X@Q$T> endobj 145 0 obj [ 622 792 788 796 764 820 798 651 764 686 827 571 564 502 430 437 430 520 440 300 492 547 686 472 426 600 545 534 433 554 577 588 704 655 452 590 834 547 524 562 1043 1043 1043 1043 319 319 373 373 642 804 802 796 762 832 762 740 794 767 275 331 780 470 780 ] endobj 146 0 obj <> endobj 147 0 obj <>stream %!PS-AdobeFont-1.1: RMTMI 1.1 %%CreationDate: 1993 May 10 16:52:31 % Copyright (c) 1992, 1993 The TeXplorators Corporation % Hinting Copyright (c) 1992, 1993 Y&Y, Inc. % MathTime is a trademark of The TeXplorators Corporation 11 dict begin /FontInfo 9 dict dup begin /version (1.1) readonly def /Notice (Copyright (C) 1992, 1993 The TeXplorators Corporation. Hinting (c) 1992, 1993 Y&Y, Inc. (508) 371-3286. All Rights Reserved.) readonly def /FullName (RMTMI) readonly def /FamilyName (MathTime) readonly def /Weight (Medium) readonly def /ItalicAngle -14.036 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /WRDRSK+RMTMI def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /Gamma put dup 3 /Lambda put dup 8 /Phi put dup 7 /Upsilon put dup 4 /Xi put dup 11 /alpha put dup 59 /comma put dup 62 /greater put dup 21 /lambda put dup 60 /less put dup 22 /mu put dup 46 /parenleft put dup 47 /parenright put dup 58 /period put dup 30 /phi put dup 61 /slash put dup 28 /tau put dup 18 /theta put dup 24 /xi put dup 16 /zeta put readonly def /FontBBox{0 -213 987 680}readonly def currentdict end currentfile eexec oc;j~EЪ+`U+1;[ihHlgtR@nk{#Y~gJ[. DI~ْ+%hapYz;3NO_O:Vп}KBhIϮԬ";eiwzVcW;I0a1]j"4[{ErGT1QeG0 Vw ߚOҎN'·4b>T(4^mѨnV8Bo8cpWTC 6j'-б^3;ZSd_ v9(+2Op?.BXsޝo!.Y([J$~8g@/Y.Y+S$C9S= iYRu |íPq.`1)KB/к!xYJK8,2(ŝ]#BEQw5,Ge2u fPQ6PnhH~l 棉l|6Ҿj;D鿂 "zGN8fYC8#SfMr =XZ2MIHv@}`6)ta}Y7Ϳ47_75Ww ^6u$; ӕcYfg_2ƨ4}ȱG}THl=YUX 3y-kHj7έD,3>w(=?vez#]2+P)pwQh[$i!Y3QŜl/'ObUxmQsXK _vq"R?WB_˅5sN`Y4mO/z }dsI6ll7ș*7<"f˕)'Z"TRd̳R U8J-%b+*o IrYBDͦx}# ?uTQ"l!D:X 6)n|U YÐ+%&㘑fNܢLHm2[)3n@GRd}Cn(Ti̵ J+$_U E !-΍r=귅״j;|Z~ yk8=0 %[ڡkK/'Ldnqɓ*b2 /7@˽F>֜ CFjxJ4jH<>B,`K}CLH+ek8up<¨ή-syr*@Ο9pxL>4w~^q' GhSN 3@7T' lJ ޢԦ>37E؉Y30N[F`[ $Qh,D6:B Ͳ:U 7us" Q"X$''ҒMwS+Wa?}emkAn34hLw~)7c T޾H]{my[?{d{d fg*>5q4fy<>uѶK*q4i`K{ VOaHxA-`ȼK_0ҦqgV\]tj(;-wܘ7ue`gһ<|)RVC 3>˚:z Mە^W {膍z}V AʅC/@ꔌgP z9mÍ*Ѱ!WR뱷Gr?ag|[¿^fcH|sx^m'˵;:UTgjTvLtq  En`Nqpr-:[D݉Lzhef$#' JTb\G~FU.F&wE`~?c'.Ӭżtٴ׿ۋo${0 /F0QG pށ;rA^,e BN7GQ\Nfr|jx0w H|9mJ5 XcZ%E&YL ; HQ GDpnh֏}ޫݚ~DM7A)V xQ("Rڸm8b=;3I5Z"^lWt M?pq.77V&Q[JgӞªk %pq5(4XtщdxaVr79*9 W , u\ /RRVY ʴ藫2 pp Ag2}!Ýw.Xi;*LZ'2GMqSyۖ-" 7N:jn=fZ]L )訹hE Ժ0%]ʗ,CtGRf>,NK1+"׽ĽjK#MGvm4'VVDVCD{~no( ̍Sr#dN0plDSb3 #T^\KXۂZS -."H蝁H&H?ͪX L<ʭwF Cþ*o9o mՋ#5vd:4@a]5$,ŝ!KJ#j6Ua֒XWJ)Tۘ%)ScLq.%ۢmQ0ĕ:@</CɭXsm_7]lrME~uf(gO)48oi[zgTfUsIwrP,JQX 71t89{c_]H'!.g&Ƒ=J .ǭ\LGNl1ˮRE9/UfUׯC"y:h_dEMh6, !E;4LP@mC\ĕ.Sk$j X4/!g53_bš-CD/cȚ5Б/2""URVa> j[E)uI~wrlEq9ZQa}ó tV&!T!.+f< D]`xYȝ4˖wSu0QGE[ Q&lDvendstream endobj 152 0 obj <> endobj 153 0 obj [ 780 278 784 521 780 556 780 780 800 800 800 800 800 1000 500 500 780 780 780 780 754 754 754 754 780 780 780 780 984 984 754 754 1099 1099 616 616 1043 985 985 780 1043 1043 704 704 1043 985 985 762 270 1021 629 629 784 784 1 1 556 519 722 556 733 635 780 780 634 425 452 780 780 451 536 536 780 357 333 333 333 333 333 333 333 333 347 728 333 333 275 277 700 776 776 668 668 668 700 700 662 662 444 444 444 444 370 370 ] endobj 154 0 obj <> endobj 155 0 obj <>stream %!PS-AdobeFont-1.1: MTSYN 1.000 %%CreationDate: 1996 Aug 26 20:27:17 % Copyright (c) 1996 Michael Spivak. % Hinting Copyright (c) 1996 Y&Y, Inc. 11 dict begin /FontInfo 9 dict dup begin /version (1.000) readonly def /Notice (Copyright (c) 1992-1996 Michael Spivak. Hinting Copyright (c) 1992-1996 Y&Y, Inc.) readonly def /FullName (MTSYN) readonly def /FamilyName (MathTime) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /QYJHOY+MTSYN def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 3 /asteriskmath put dup 102 /braceleft put dup 103 /braceright put dup 79 /circumflex put dup 80 /dotaccent put dup 50 /element put dup 68 /equal put dup 49 /infinity put dup 0 /minus put dup 2 /multiply put dup 67 /plus put dup 73 /semicolon put dup 81 /tilde put readonly def /FontBBox{0 -954 1043 900}readonly def currentdict end currentfile eexec oc;j~EЪڇqcVv3ދF'HJ1ۻ=AWԯ~k=%LT~1%V|St99 KYMyD+,gD}F2Eh#^#dT(@UN0u˰jkV"ozG+1O &`=!ΰ}A/Ve^]=J2j`Kk=eYp6\ Htsc{M|0)luŷ[u;M:= آ]ZS3Ƈ~#y ~qPf= af|#fĬ{ZeOʄݩCs!YՊG IYu~M& 9y|^=C,`Qo aE,rP zs9ε&q[R" sKJ*^#nSC 9Vv"44`Ro?ЬRd(TaJ*)@ivpːyACEs=}|Ng 'J[FG ,]&{!c$1K Wb"cSywGBh9 ա `(͆wTh_7A#y"ᵂ,~d=et78{*|Y: ,wRU}p$f+2܃>H.j{Ms NteikyR śuVb pǓ`cS|cF03RsSn0u)RnC[dk;Ǻ8Z ~s_4 `.Ϣhpȧls=ZZ/\npE_Bc?驾jkp=^\F㓓=, nUe]nCd;V+;e鴀*E)񃬅~bfod A|7XS_TV:.Mf4b$v\jWNў0}0*M@p(,b` Ky1/ i YEL6mXhĠH3A@nh9Yr'HMdyy?J] VlV|ڬ+h|!d|_vG7tO/$g uq}1þ{}D#&<1i"g8t! j5"ݳrf=;Cz)d{P.ww6ma؃A7OEW o ; d9t+ -GxY7|2:H%4KM ]A@.콭~؜ZxF]Go9%_͝x>׆u$Ft@UR'S-bhv$&rťL r6>e|57+j6Bf~ E1S%!XI ihwsErˎr.t)_hq';@ǡc_7_&d?HхQA e6ϬUx'A[gT~l拙/o8s!N|$Y:WCAnh@)Ɍ;Xh/WjX{#Ox,< [0 &/@cE&WtϜ\@H~tAƇ׷6gQ}ҨΒsԲNlpOM:bk NK↖^}#&7myxP΅]JL?KÌs2I/!=tWOQ&@{Ois%_RE8Sh9E j۫m=ՉZ%zqC>xN ذbcĒ"y)#5p%[91F GPD!3˴ >11k0= t-h:?Ja/r^&,08.% L򝯒ED4rbs|(jۏ ?lȬ9_tYh5"G@5LH+g/EW5Tp/t϶Wk-ퟳS3|.{7F`{q˓E8շx ( ݏ~GbxC[@al* tDg#Ѧ`sWPE-c{!m39ؗLdEI/i ]?V0Ҳ(V :AmYDMV/+D^?= fpӓsH 0bh:+'jYTIcA;jܳ.7tqqG: Đ`j`Df^ FMھ+#=y&M9JTƉ<ݫc ,tl1b /uB.z' Ӽoîf3ohMlevouhp= vsKX21KwNcW;@ݦHR`RTd8K Β2ZdtR}\ڒo$qo_͵HtEHyL(^NeS`#mtsKgZpCvưc>ꔑ,LW;'-YeJQsT!Q`endstream endobj 172 0 obj <> endobj 173 0 obj [ 394 394 504 504 504 504 474 474 262 262 325 533 626 626 545 545 675 675 545 545 612 612 612 612 618 618 429 429 1107 1107 693 693 621 621 674 674 674 674 690 690 554 554 1348 1348 866 866 799 799 729 729 729 729 729 729 792 792 792 792 792 792 792 575 799 799 799 799 346 346 984 1235 458 528 1110 1511 1110 1511 1110 1511 1045 940 458 940 940 940 940 940 1415 1269 528 ] endobj 174 0 obj <> endobj 175 0 obj <>stream %!PS-AdobeFont-1.1: MTEX 1.1 %%CreationDate: 1993 Jun 26 10:30:36 % Copyright (c) 1992, 1993 The TeXplorators Corporation % Hinting Copyright (c) 1992, 1993 Y&Y, Inc. % MathTime is a trademark of The TeXplorators Corporation 11 dict begin /FontInfo 9 dict dup begin /version (1.1) readonly def /Notice (Copyright (C) 1992, 1993 The TeXplorators Corporation. Hinting (c) 1992, 1993 Y&Y, Inc. (508) 371-3286. All Rights Reserved.) readonly def /FullName (MTEX) readonly def /FamilyName (MathTime) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /PMVDKS+MTEX def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 2 /bracketleftbig put dup 20 /bracketleftbigg put dup 52 /bracketleftbt put dup 54 /bracketleftex put dup 50 /bracketlefttp put dup 3 /bracketrightbig put dup 21 /bracketrightbigg put dup 53 /bracketrightbt put dup 55 /bracketrightex put dup 51 /bracketrighttp put dup 90 /integraldisplay put dup 82 /integraltext put readonly def /FontBBox{-23 -2958 1456 766}readonly def currentdict end currentfile eexec oc;j~EЪ+`U+1;[ihHlgtR@nk{#Y~gJ[. DI~ْ+%hapYz;3NO_O:Vп}KBhIϮԬ";eiwzVcW;I0a1]j"4[{ErGT1QeG0 Vw ߚOҎN'·4b>T(4^mѨnV8Bo8cpWTC 6j'-б^3;ZSi 4LTVC}:)EuF+o1F}NNZ*1aD1U(H`b^;1Mac]&'kM.Lؐ1Sh3\9)Wyϋzoԡ!OWr%\ tA7e:蔧R1-~w1Dj EWNTl%4 {yBvV E=&AcW_}in|{^X&UvKhwݘjNrEFNa:Q~nSZ =PG҈V̸Uy Iv`.;tԦŴzq@!̛iSI-nd84GoRU$}t-\At/{SmAu4,ؐ.\^Tc*2?'U^1q{* km:'~^Yc]+vP6C>iV5q+^h7S6L a_̳Z,( `+a7ȝkF\KF5XepٺF*Mv*\:ZM؍4x#yx(Zw(^9pr!("3oDBh} ])Z8 ;n*Ȇ9lA5D:Mi`TAy ͹`=inT@Ҹsaׂ$* V[RntuGTfİA.P$Xk,/y1tf~I1?pZ`m4Bsxrq3o [7d&Mc%ƣ2Kנau-G6yUìpCZpߙt&l~e48Or~?]K$5T(f* iX]w$2)djpGuhK~Ɇ[]HF2"Z\y NR/7p;6jɿb Rlz>wM.<3%Hg3[%۵mlA^]NLbX1'N'.ɶcW/t>f}BKOS>cET9k#Y5J1pzXӶeWmӬ[ڴp2ū0MOЃ~xjHUwaUc^[;U%䆊J}7ifaNzea=ABB-nN`rNؙX-@O/PՄKuI0 /oPRqoxT-i)n˷G(?wu+Г! U>їrnwiԯ9 HS`|{>m{FU9:FwC<] ʙ5I0S=\7yjЌAVv`) kxlFTE:ɾK\;OQendstream endobj 160 0 obj <> endobj 161 0 obj [ 579 820 0 931 286 289 600 572 565 861 854 1000 405 413 685 490 565 768 227 373 377 401 549 227 408 229 313 553 553 553 553 553 553 553 553 553 553 316 316 549 549 549 504 779 607 575 577 694 539 486 658 715 301 297 616 474 890 700 682 539 682 587 490 518 687 609 981 605 569 528 343 352 343 549 500 217 533 543 450 556 480 300 514 564 286 289 520 274 864 578 533 556 537 397 408 354 578 517 806 491 524 ] endobj 162 0 obj <> endobj 163 0 obj <>stream %!PS-AdobeFont-1.0: t1-gul-regular-italic 001.001 %%Title: t1-gul-regular-italic %Version: 001.001 %%CreationDate: Mon May 26 10:31:00 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Gulliver, Giant amongst Dwarfs. %Copyright: This typeface offers excellent readability at very small %Copyright: sizes. %Copyright: %Copyright: The digitally encoded machine readable outline data for %Copyright: producing the typefaces licensed to you is copyrighted (c), %Copyright: 1994, 2005 by and the property of Gerard Unger. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-gul-regular-italic known{/t1-gul-regular-italic findfont dup/UniqueID known{dup /UniqueID get 4109950 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 12 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /IVJZYG+t1-gul-regular-italic def /FontBBox {-141 -321 1053 1055 }readonly def /UniqueID 4109950 def /XUID [1021 938 1479029120 1353546] def /PaintType 0 def /FontInfo 11 dict dup begin /version (001.001) readonly def /Notice (Gulliver, Giant amongst Dwarfs.\012This typeface offers excellent readability at very small sizes.\012\012The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted \050c\051, 1994, 2005 by and the property of Gerard Unger.) readonly def % Gulliver, Giant amongst Dwarfs. % This typeface offers excellent readability at very small sizes. % % The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted (c), 1994, 2005 by and the property of Gerard Unger. /FullName (Gulliver Italic) readonly def /FamilyName (Gulliver) readonly def /Weight (Regular) readonly def /FSType 4 def /ItalicAngle -8.5 def /isFixedPitch false def /UnderlinePosition -75 def /UnderlineThickness 50 def /ascent 789 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 89 /Y put dup 90 /Z put dup 97 /a put dup 38 /ampersand put dup 98 /b put dup 99 /c put dup 58 /colon put dup 44 /comma put dup 100 /d put dup 101 /e put dup 56 /eight put dup 21 /endash put dup 102 /f put dup 53 /five put dup 52 /four put dup 103 /g put dup 104 /h put dup 45 /hyphen put dup 105 /i put dup 106 /j put dup 108 /l put dup 109 /m put dup 110 /n put dup 57 /nine put dup 111 /o put dup 49 /one put dup 112 /p put dup 40 /parenleft put dup 41 /parenright put dup 46 /period put dup 113 /q put dup 114 /r put dup 115 /s put dup 59 /semicolon put dup 55 /seven put dup 54 /six put dup 47 /slash put dup 116 /t put dup 51 /three put dup 50 /two put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 48 /zero put readonly def currentdict end currentfile eexec oc;jAw-24 WEvQC<3A2kX0k^|:ٴfb,|=sLu2KZ`3ndgRw@),q՜G<&h'. ΍883 ABAԾI$s@F25ڪ,i pK>6K` %E((bsX5QE8:'1#x[ob0S)õa *eTZD<oWNņHXx͓Tt i?Xn~/G?]3IX6-$r|ƌyS AQXM(u0x۫3+1?&cC1@UV*Z .A"]Y yER\kb7P4 K$Qh+63ήo:U.,tk~uP+J ?"&O H0fS2 .?GPO "/]xkJ"JӚ#B 1u!> ׵ Zvb,:S}2U7I=NEq]`њۿeۺ'B[xe%-g9*fP &y Иrc/8>~i8>LFf|B*G_˙VX0 &: ~'ިP |q)̶m&©+ X^݌i6Cz k"ǬL r]ݚSa="p"?+G| !Y " :A%:δ%{:c?n &f(%)oŕ0NnVL@oi'I_ c `3;z8qefJ U#)rE-oɁ4W(7BT `%G÷>dߋq ;:O<#̄ʃʭ҆vEfhK!%ĻtQ VO4jx.'v84s!QtҴ\ƶJ{)[P 3̞*4,s+%V׎MZe%Cx<{ߕ`Fqo~g_oxhO'o=a`JYBdPWOn^qmYkO}8B=K_3K5`:AVHe6k۲nTcrjt,S@P@'nOh:FPN掏y!8mA{,\DC2\N~4 8Ǎ1DB$eVUB+#MQ{M+8زudAխHq : `͜͜ҵx tJH.VS/ΝL e<^tޑ'RU;Y]f'dG1VW֐-}%0[aD07,kꌪe@ޣWA 6oBsb ^\j!ApxKP!p`( R)a4iWʴ(uRX E9R():+~R֗5I)m8kB +깋[/UtWh SS]ep3zv?νbR<l dk2u'[ʨ `aco Wp&Vmy! !b//6i`x'벑7x  <7NqKZpҰoaZ4M%M.%H"Pΐ=FQ."T9TH֦ —" rb]l"jUI[)`^{GeN.w>˕4%i0&1,aN/ᴦFhCەWфopJ?}'#=KV Ph*H?`+hvfD,>W1;Q݈4ưϫO_97]G? p˳aNHQڼˠ ̣%Q\{e?-m`|vTB9hj511޸=eh# Cd"|?""Me]r ȧ?|˓ap WRu/-F ǑIUœ~1K"?׳Gp\zKT<;EDͨru9Zr\HwM=g?O+p[ƥMW1D+.A{AV:e]RxƝ[%YF4|95ɜ+\#:rz(-[n GSAwROtrN dG|~X8&D8`&w P4nH`NPAr2\ +02Ř3,{>^;1;)N9-?j nK; Nm晼@]\І-@MWWi#s޻&m{:uKlDK{/6*bqvbT hsg`؈+n1쮸tz-8z, u^zH-ZDĊ[2%ޚ 5ağ!5S)"_Jz󭄌"{5 9pC^q]r+@fϽ;6j\'j/_ ;q#( ȅ"Rݴ B{m͙/hmOQ qV*Ci_&'x1MPb;sVUz1;7qP~56:f 'Fص¸iDJ+TǬH_5y8y#'z^uβ^G5B;DܿL*ۍ$:1UGS4]O(Ge7Phi5,Gd# Q㴭K(P^|(ێ<=Vp&c{i70ݔ*Ss툃n)q쿂@tg_aW;󦦓Q_ ͱT:ȕЁ$?DBч׊7 sd Wbk 7"bzy6 P<QC//|NvSdw U!_Ph&ֵ1V1cw"u] S cvr87N[klux\WM{7ŹǠ HI~azaws~?$˛Rȧtb3v?#XVx lcdD Eֈ ~A8/+>x9*%p gx0>Ar =~̀Mj' cҒ3l'U2rZ"Z8U<򖊮WK#!Uj qˌ,">/T ֔?#@[Ѷ ]JW "y4kOtbC?2=ѝI@|; ʌ@ZT,4}J#;=:7U&YT=ކ1qHPHiٔ ww6{臠n,/|- |sڒA(Ni .;6k l;}l8Ml|%zvȡWms\?[H40HrۘזzROx$ň2Õ ݸTwVMP9T~K%6"G)seUٟ:ya 9/rY\&k<3N ZeFJ (T#d5S5D!#.* 鍨(-5+JǶ=3W&3FcnT(ÉvY~7៸iC J+z!!{2TJx6 #h|ͬb.C< ~[yH{BXUHZe ]vKmVփkHAfƚjG2JoC7y=Ϊ m 14^J&RhkِGkJYC$xB\}T1j [$yڬ;-TieKԦVO3șOSKcYc\Ay -*/(F [@vl 2/5C fPs҈PelAk@9swpcIIgMj1cw#oЎ]JYFQf[wThfE׾m6+B/MK. U,Q&9XI$ W7yݕ3&(FB#0f*h6Uh3hau2k8k;erdl~&`y>M #*~ Rõ b@Ƅ/l"p>gP΃=~FKjWrw1aTd7}jrsώ~Cs1؆h4GbXBE[i$1|E!|.,ks>_+ ř˨?\as$]k 2kIT͟v+5 pY@ jM`W-s^HwrYX, 4_D5δR ס.e4;z˺V\pU >3k&F)%NX#sJyT`}bśڜdˏY-bׇ]E੶PO:&k5'y 0pU髢J+RDn&)EF"\6pkj!S´hWk!,f;I v}֪Xa8k@TE\At IM=h=)j'WJ"sޯ\]P7m\RgH@*Yy2iC硚{,htJ^6w')n򣁭~Fe; ,UFDm) E&_4BFX [)%an_9E2Z~9k`QC-btTġrV²1}< qSuک}uMjusp1_ioV`>EIp`x奿)?FcD3%Mf\/GHsz1UI;fy'EOUKka;` ̕F왃\9% g䎀D>}ZE]{@Vvn\,j,EW 4J$:hY`ώCQYNt=xwAj\ez&'ʲ$;MItf0"-(XJA}zCЛDJy]Lu m,4kD˻{A?g)Gȩhx{ /Ku΋XsL ;d VѠ?·2T^AgCC0}N~!gyRyя_ P0wpV\@A[[x ! ^=WϕZYU 0C> tjy@-eiHA($qMYwz~!4dpҤ ZYO$5{5T86%k}̠P:PpB r {lj㲚le3ۘ 2B$3XS@mɼd˓\Q3Tu2 ~09MW vl>x!2YPS4"la1Ww\\TK0Lx xMk[b_˙-uJQTQnk7V Wә%I3PC;S(Y[1|{\HTyx.Y:jVG- ks?uϝTZ{XNiN~ywR! 3D t (4w<G%[?wmpzn].4g|u]A.9@*Ơ. 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readability at very small %Copyright: sizes. %Copyright: %Copyright: The digitally encoded machine readable outline data for %Copyright: producing the typefaces licensed to you is copyrighted (c), %Copyright: 1994, 2005 by and the property of Gerard Unger. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-gul-regular known{/t1-gul-regular findfont dup/UniqueID known{dup /UniqueID get 4179227 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 12 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /PLMZMU+t1-gul-regular def /FontBBox {-115 -321 1042 1054 }readonly def /UniqueID 4179227 def /XUID [1021 938 1479029120 7154960] def /PaintType 0 def /FontInfo 11 dict dup begin /version (001.001) readonly def /Notice (Gulliver, Giant amongst Dwarfs.\012This typeface offers excellent readability at very small sizes.\012\012The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted \050c\051, 1994, 2005 by and the property of Gerard Unger.) readonly def % Gulliver, Giant amongst Dwarfs. % This typeface offers excellent readability at very small sizes. % % The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted (c), 1994, 2005 by and the property of Gerard Unger. /FullName (Gulliver) readonly def /FamilyName (Gulliver) readonly def /Weight (Regular) readonly def /FSType 4 def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -75 def /UnderlineThickness 50 def /ascent 789 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 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Tf 4.865 -1.435 Td [(1)]TJ/F179 9.5641 Tf 4.301 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(sd)]TJ/F183 9.5641 Tf 7.991 0 Td [(\022)]TJ ET 1 0 0 1 32.706 687.65 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -687.65 cm BT /F179 9.5641 Tf 67.613 657.421 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(\034)]TJ/F40 5.8022 Tf 4.142 -1.435 Td [(s)]TJ/F181 9.5641 Tf 4.459 14.452 Td [(Z)]TJ/F179 6.6948 Tf 9.43 -2.584 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F179 6.6948 Tf -12.501 -17.649 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F181 9.5641 Tf 9.85 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F179 9.5641 Tf 6.15 8.743 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.435 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.069 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)-100(:)]TJ/F22 8.2889 Tf 91.144 0 Td [(\0507\051)]TJ ET 1 0 0 1 32.706 657.421 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -657.421 cm BT /F22 8.2889 Tf 32.706 634.519 Td [(Using)]TJ ET 1 0 0 1 56.412 634.519 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -56.412 -634.519 cm BT /F22 8.2889 Tf 56.412 634.519 Td [(Lemma)-250(1)]TJ ET 1 0 0 1 91.441 634.519 cm 0 g 0 G 1 0 0 1 -91.441 -634.519 cm BT /F22 8.2889 Tf 91.441 634.519 Td [(,)-250(one)-250(can)-250(obtain)]TJ ET 1 0 0 1 32.706 634.519 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -634.519 cm BT /F179 9.5641 Tf 32.706 609.875 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(1)]TJ/F181 9.5641 Tf 5.452 14.451 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F179 9.5641 Tf 5.912 10.097 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(1)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F166 7.9701 Tf 6.039 0 Td [(6)]TJ/F179 9.5641 Tf 8.855 0 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\030)]TJ/F22 5.8022 Tf 5.127 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/.)]TJ/F40 8.2889 Tf 7.135 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/\030)-110(.)]TJ/F40 8.2889 Tf 12.261 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 24.215 0 Td [(\0508\051)]TJ ET 1 0 0 1 32.706 609.875 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -609.875 cm BT /F179 9.5641 Tf 32.706 579.689 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(1)]TJ/F181 9.5641 Tf 5.452 14.451 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 8.2889 Tf 5.469 9.922 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(3)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F166 7.9701 Tf 6.039 0 Td [(6)]TJ/F179 9.5641 Tf 8.855 0 Td [(\000)]TJ/F181 9.5641 Tf 9.054 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 8.2889 Tf 5.47 9.922 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(sZ)]TJ/F22 5.8022 Tf 7.758 -1.434 Td [(3)]TJ/F181 9.5641 Tf 5.452 14.451 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 8.2889 Tf 5.469 9.922 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 33.504 0 Td [(\0509\051)]TJ ET 1 0 0 1 32.706 579.689 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -579.689 cm BT /F179 9.5641 Tf 32.706 550.897 Td [(\000)]TJ/F183 9.5641 Tf 8.656 6.704 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.52 Td [(2)]TJ -1.148 -6.213 Td [(1)]TJ ET q 1 0 0 1 41.362 553.288 cm []0 d 0 J 0.44 w 0 0 m 9.147 0 l S Q BT /F22 8.2889 Tf 43.535 544.106 Td [(2)]TJ/F181 9.5641 Tf 9.763 19.807 Td [(Z)]TJ/F22 5.8022 Tf 9.43 -2.584 Td [(0)]TJ/F179 6.6948 Tf -4.38 -19.002 Td [(\000)]TJ/F183 6.6948 Tf 5.221 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F181 9.5641 Tf 5.47 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F179 9.5641 Tf 6.15 8.744 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 -1.435 Td [(1)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.069 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 32.706 550.897 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -550.897 cm BT /F166 7.9701 Tf 40.995 526.594 Td [(6)]TJ/F179 9.5641 Tf 8.856 0 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\030)]TJ/F22 5.8022 Tf 5.126 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/.\034)]TJ/F22 5.8022 Tf 11.276 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(7)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(7)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/\030)-110(.)]TJ/F40 8.2889 Tf 12.261 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 84.997 0 Td [(\05010\051)]TJ ET 1 0 0 1 32.706 526.594 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -526.594 cm BT /F179 9.5641 Tf 32.706 505.707 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\034)]TJ/F40 5.8022 Tf 4.141 -1.435 Td [(s)]TJ/F181 9.5641 Tf 4.46 14.452 Td [(Z)]TJ/F179 6.6948 Tf 9.43 -2.584 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F179 6.6948 Tf -12.501 -17.649 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(2)]TJ/F181 9.5641 Tf 9.851 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.381 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.551 0 Td [(C)]TJ/F183 6.6948 Tf 5.221 0 Td [(\022)]TJ/F179 9.5641 Tf 6.15 8.743 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.434 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.381 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 32.706 505.707 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -505.707 cm BT /F166 7.9701 Tf 40.995 481.404 Td [(6)]TJ/F179 9.5641 Tf 8.856 0 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\030)]TJ/F22 5.8022 Tf 5.126 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/.\034)]TJ/F22 5.8022 Tf 11.276 -1.434 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(8)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(9)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.434 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(8)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(9)]TJ/F183 9.5641 Tf 3.857 2.572 Td [(/\030)-110(.)]TJ/F40 8.2889 Tf 12.261 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 39.185 0 Td [(\05011\051)]TJ ET 1 0 0 1 32.706 481.404 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -481.404 cm BT /F22 8.2889 Tf 32.706 465.499 Td [(let)]TJ/F183 9.5641 Tf 12.002 0 Td [(\013)]TJ/F179 9.5641 Tf 8.501 0 Td [(D)]TJ/F183 9.5641 Tf 10.116 0 Td [(.\034)-120(.)]TJ/F40 8.2889 Tf 12.424 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.693 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(1)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/=\034)]TJ/F22 5.8022 Tf 12.204 -1.434 Td [(12)]TJ/F22 8.2889 Tf 9.289 1.434 Td [(and)-250(similar)-250(to)]TJ ET 1 0 0 1 178.943 465.499 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -178.943 -465.499 cm BT /F22 8.2889 Tf 178.943 465.499 Td [(Shao)]TJ ET 1 0 0 1 197.319 465.499 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -199.391 -465.499 cm BT /F22 8.2889 Tf 199.391 465.499 Td [(\050)]TJ ET 1 0 0 1 202.458 465.499 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -202.458 -465.499 cm BT /F22 8.2889 Tf 202.458 465.499 Td [(2009)]TJ ET 1 0 0 1 221.655 465.499 cm 0 g 0 G 1 0 0 1 -221.655 -465.499 cm BT /F22 8.2889 Tf 221.655 465.499 Td [(\051)]TJ ET 1 0 0 1 32.706 465.499 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -465.499 cm BT /F179 9.5641 Tf 34.831 442.62 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(12)]TJ/F181 9.5641 Tf 8.811 14.452 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.585 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F179 9.5641 Tf 10.292 10.097 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 32.706 442.62 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -442.62 cm BT /F179 9.5641 Tf 40.995 413.68 Td [(D)-278(\000)]TJ/F183 9.5641 Tf 17.577 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(12)]TJ/F181 9.5641 Tf 8.811 14.451 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.551 0 Td [(/)]TJ/F40 5.8022 Tf -20.902 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F179 9.5641 Tf 15.262 10.096 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F179 9.5641 Tf 5.507 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(12)]TJ/F181 9.5641 Tf 8.811 14.451 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F179 9.5641 Tf 5.032 8.743 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ ET 1 0 0 1 32.706 413.68 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -413.68 cm BT /F179 9.5641 Tf 40.995 384.741 Td [(D)-278(\000)]TJ/F183 9.5641 Tf 17.577 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)-120(.)]TJ/F40 8.2889 Tf 8.856 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F181 9.5641 Tf 8.729 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F40 5.8022 Tf -20.901 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(2)]TJ/F179 9.5641 Tf 15.263 10.096 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.069 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 32.706 384.741 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -384.741 cm BT /F179 9.5641 Tf 49.284 355.802 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.\034)-120(.)]TJ/F40 8.2889 Tf 12.424 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.692 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F181 9.5641 Tf 5.162 13.016 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F40 5.8022 Tf -20.901 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F179 9.5641 Tf 15.262 10.097 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ ET 1 0 0 1 32.706 355.802 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -355.802 cm BT /F179 9.5641 Tf 49.284 327.565 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.\034)-120(.)]TJ/F40 8.2889 Tf 12.424 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.692 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F181 9.5641 Tf 5.162 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F179 9.5641 Tf 5.032 8.743 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 32.706 327.565 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -327.565 cm BT /F179 9.5641 Tf 49.284 299.517 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)-120(.)]TJ/F40 8.2889 Tf 8.856 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(//)]TJ/F181 9.5641 Tf 8.729 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.585 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F179 9.5641 Tf 5.032 8.744 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.609 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 32.706 299.517 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -299.517 cm BT /F166 7.9701 Tf 40.995 277.395 Td [(6)]TJ/F179 9.5641 Tf 8.856 0 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\030)]TJ/F22 5.8022 Tf 5.126 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/.)]TJ/F40 8.2889 Tf 7.135 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.982 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(4)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F179 9.5641 Tf 5.982 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(4)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/\030)-110(.)]TJ/F40 8.2889 Tf 12.261 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.693 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\030)]TJ/F22 5.8022 Tf 5.126 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/.)]TJ/F40 8.2889 Tf 7.134 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ ET 1 0 0 1 32.706 277.395 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -277.395 cm BT /F179 9.5641 Tf 49.284 262.434 Td [(\002)]TJ/F183 9.5641 Tf 9.092 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(3)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(2)]TJ/F183 9.5641 Tf 3.858 2.572 Td [(/\030)-110(.)]TJ/F40 8.2889 Tf 12.261 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.692 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\013)-40(\030)]TJ/F22 5.8022 Tf 10.97 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/.)]TJ/F40 8.2889 Tf 7.135 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(4)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.522 Td [(2)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.522 Td [(4)]TJ/F183 9.5641 Tf 3.858 2.572 Td [(/\030)-110(.)]TJ/F40 8.2889 Tf 12.261 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ ET 1 0 0 1 32.706 262.434 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -262.434 cm BT /F179 9.5641 Tf 49.284 245.429 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F179 9.5641 Tf 6.925 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\013)-40(/\030)]TJ/F22 5.8022 Tf 14.538 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/.)]TJ/F40 8.2889 Tf 7.134 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F183 9.5641 Tf 3.857 2.573 Td [(/\030)-110(.)]TJ/F40 8.2889 Tf 12.262 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/:)]TJ/F22 8.2889 Tf 70.968 0 Td [(\05012\051)]TJ ET 1 0 0 1 32.706 245.429 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -245.429 cm BT /F22 8.2889 Tf 32.706 229.524 Td [(Similarly,)]TJ ET 1 0 0 1 32.706 229.524 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -229.524 cm BT /F179 9.5641 Tf 34.831 206.828 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(12)]TJ/F181 9.5641 Tf 8.811 14.451 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F40 8.2889 Tf 9.85 9.922 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F166 7.9701 Tf 6.038 0 Td [(6)]TJ/F179 9.5641 Tf 8.856 0 Td [(\000)]TJ/F183 9.5641 Tf 7.46 0 Td [(\030)]TJ/F22 5.8022 Tf 5.126 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F181 9.5641 Tf 5.162 7.69 Td [(\002)]TJ/F40 8.2889 Tf 3.768 -7.69 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(8)]TJ/F40 8.2889 Tf 3.858 2.573 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(8)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(9)]TJ/F40 8.2889 Tf 3.857 2.573 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(9)]TJ/F181 9.5641 Tf 3.858 9.124 Td [(\003)]TJ/F183 9.5641 Tf 5.362 -7.69 Td [(\030)-110(.)]TJ/F40 8.2889 Tf 8.694 0 Td [(t)]TJ/F183 9.5641 Tf 3.642 0 Td [(/)]TJ ET 1 0 0 1 32.706 206.828 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -206.828 cm BT /F179 9.5641 Tf 40.995 182.525 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(\013)-40(\030)]TJ/F22 5.8022 Tf 10.97 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(9)]TJ/F40 8.2889 Tf 3.858 2.572 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(9)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(\030)-110(.)]TJ/F40 8.2889 Tf 8.694 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.692 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F179 9.5641 Tf 6.925 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\013)-40(/\030)]TJ/F22 5.8022 Tf 14.537 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(8)]TJ/F40 8.2889 Tf 3.857 2.572 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(8)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(\030)-110(.)]TJ/F40 8.2889 Tf 8.694 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/:)]TJ/F22 8.2889 Tf 55.616 0 Td [(\05013\051)]TJ ET 1 0 0 1 32.706 182.525 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -182.525 cm BT /F22 8.2889 Tf 32.706 166.62 Td [(From)]TJ ET 1 0 0 1 54.779 166.62 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -54.779 -166.62 cm BT /F22 8.2889 Tf 54.779 166.62 Td [(\0507\051\025\05013\051)]TJ ET 1 0 0 1 86.227 166.62 cm 0 g 0 G 1 0 0 1 -86.227 -166.62 cm BT /F22 8.2889 Tf 86.227 166.62 Td [(,)-250(it)-250(can)-250(be)-250(seen)-250(that)]TJ ET 1 0 0 1 32.706 166.62 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -166.62 cm BT /F179 9.5641 Tf 34.224 149.819 Td [(P)]TJ/F40 8.2889 Tf -1.518 -1.961 Td [(V)]TJ/F183 9.5641 Tf 6.221 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(x)]TJ/F40 5.8022 Tf 4.07 -1.434 Td [(t)]TJ/F183 9.5641 Tf 3.048 1.434 Td [(/)]TJ/F166 7.9701 Tf 7.055 0 Td [(6)]TJ/F183 9.5641 Tf 9.685 0 Td [(\030)]TJ/F22 5.8022 Tf 5.127 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F22 8.2889 Tf 5.161 0.085 Td [([)]TJ/F183 9.5641 Tf 2.993 -0.085 Td [(\013)]TJ/F183 9.2055 Tf 5.843 0 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(C)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(1)]TJ/F179 9.5641 Tf 6.924 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(\013)-40(/)]TJ/F183 9.2055 Tf 9.411 0 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.434 Td [(2)]TJ/F22 8.2889 Tf 3.857 1.519 Td [(])]TJ/F183 9.5641 Tf 4.587 -0.085 Td [(\030)-110(.)]TJ/F40 8.2889 Tf 8.693 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/:)]TJ/F22 8.2889 Tf 91.716 0 Td [(\05014\051)]TJ ET 1 0 0 1 32.706 147.858 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -147.858 cm BT /F22 8.2889 Tf 32.706 131.953 Td [(Since)-328(0)]TJ/F166 7.9701 Tf 32.028 0 Td [(6)]TJ/F183 9.5641 Tf 10.51 0 Td [(\013)]TJ/F166 7.9701 Tf 10.155 0 Td [(6)]TJ/F22 8.2889 Tf 10.51 0 Td [(1,)]TJ/F183 9.5641 Tf 9.457 0 Td [(\013)]TJ/F183 9.2055 Tf 5.843 0 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(1)]TJ/F179 9.5641 Tf 6.645 1.435 Td [(C)]TJ/F183 9.5641 Tf 10.247 0 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(1)]TJ/F179 9.5641 Tf 7.586 0 Td [(\000)]TJ/F183 9.5641 Tf 10.247 0 Td [(\013)-40(/)]TJ/F183 9.2055 Tf 9.411 0 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(2)]TJ/F22 8.2889 Tf 6.575 1.435 Td [(is)-328(a)-328(convex)-328(combination)-327(of)]TJ ET 1 0 0 1 32.706 131.953 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -131.953 cm BT /F183 9.2055 Tf 32.706 121.67 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(1)]TJ/F22 8.2889 Tf 7.091 1.435 Td [(and)]TJ/F183 9.2055 Tf 17.482 0 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(2)]TJ/F22 8.2889 Tf 3.858 1.435 Td [(.)-391(Therefore,)]TJ/F183 9.5641 Tf 47.347 0 Td [(\013)]TJ/F183 9.2055 Tf 5.843 0 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(1)]TJ/F179 9.5641 Tf 7.174 1.435 Td [(C)]TJ/F183 9.5641 Tf 10.776 0 Td [(.)]TJ/F22 8.2889 Tf 3.568 0 Td [(1)]TJ/F179 9.5641 Tf 8.115 0 Td [(\000)]TJ/F183 9.5641 Tf 10.777 0 Td [(\013)-40(/)]TJ/F183 9.2055 Tf 9.411 0 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(2)]TJ/F183 9.5641 Tf 9.491 1.435 Td [(<)]TJ/F22 8.2889 Tf 13.094 0 Td [(0)-390(is)-390(equivalent)-390(to)]TJ ET 1 0 0 1 32.706 121.67 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -121.67 cm BT /F183 9.2055 Tf 32.706 111.387 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(1)]TJ/F183 9.5641 Tf 8.762 1.435 Td [(<)]TJ/F22 8.2889 Tf 12.364 0 Td [(0)-356(and)]TJ/F183 9.2055 Tf 24.946 0 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(2)]TJ/F183 9.5641 Tf 8.761 1.435 Td [(<)]TJ/F22 8.2889 Tf 12.365 0 Td [(0.)-356(If)]TJ ET 1 0 0 1 131.949 111.387 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -131.949 -111.387 cm BT /F22 8.2889 Tf 131.949 111.387 Td [(\0504\051)]TJ ET 1 0 0 1 142.874 111.387 cm 0 g 0 G 1 0 0 1 -142.874 -111.387 cm BT /F22 8.2889 Tf 142.874 111.387 Td [(\025)]TJ ET 1 0 0 1 147.673 111.387 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -147.673 -111.387 cm BT /F22 8.2889 Tf 147.673 111.387 Td [(\0505\051)]TJ ET 1 0 0 1 158.598 111.387 cm 0 g 0 G 1 0 0 1 -158.598 -111.387 cm BT /F22 8.2889 Tf 161.547 111.387 Td [(are)-356(satisfied,)-356(then)-355(system)]TJ ET 1 0 0 1 263.708 111.387 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -263.708 -111.387 cm BT /F22 8.2889 Tf 263.708 111.387 Td [(\0501\051)]TJ ET 1 0 0 1 274.632 111.387 cm 0 g 0 G 1 0 0 1 -274.632 -111.387 cm BT /F22 8.2889 Tf 277.581 111.387 Td [(is)]TJ ET 1 0 0 1 32.706 111.387 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -111.387 cm BT /F22 8.2889 Tf 32.706 101.104 Td [(asymptotically)-231(stable)-230(according)-231(to)-231(Lyapunov)-230(stability)-231(theory)-231(\050)]TJ ET 1 0 0 1 266.449 101.104 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -266.449 -101.104 cm BT /F22 8.2889 Tf 266.449 101.104 Td [(Hale)]TJ ET 1 0 0 1 283.765 101.104 cm 0 g 0 G 1 0 0 1 -251.059 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.283 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -32.706 -90.821 cm BT /F22 8.2889 Tf 32.706 90.821 Td [(&)]TJ ET 1 0 0 1 38.467 90.821 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -40.539 -90.821 cm BT /F22 8.2889 Tf 40.539 90.821 Td [(Lunel,)]TJ ET 1 0 0 1 63.458 90.821 cm 0 g 0 G 1 0 0 1 2.072 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -65.53 -90.821 cm BT /F22 8.2889 Tf 65.53 90.821 Td [(1993)]TJ ET 1 0 0 1 84.727 90.821 cm 0 g 0 G 1 0 0 1 -84.727 -90.821 cm BT /F22 8.2889 Tf 84.727 90.821 Td [(\051.)]TJ/F166 7.9701 Tf 17.44 0 Td [(\003)]TJ ET 1 0 0 1 32.706 90.821 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -19.611 cm 0 g 0 G 1 0 0 1 -28.721 -71.21 cm BT /F153 8.2889 Tf 32.706 71.21 Td [(Remark)-250(3.)]TJ ET 1 0 0 1 73.297 71.21 cm 0 g 0 G 1 0 0 1 -73.297 -71.21 cm BT /F22 8.2889 Tf 77.282 71.21 Td [(By)-299(constructing)-299(a)-299(new)-299(Lyapunov)-299(functional)-299(and)-299(using)]TJ ET 1 0 0 1 32.706 71.21 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -71.21 cm BT /F22 8.2889 Tf 32.706 60.927 Td [(some)-704(integral)-703(inequalities,)-704(a)-704(delay-range-dependent)-704(stability)]TJ ET 1 0 0 1 32.706 60.927 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -60.927 cm BT /F22 8.2889 Tf 32.706 50.644 Td [(criterion)-189(is)-190(obtained)-189(in)-190(terms)-189(of)-190(LMIs)-189(without)-190(introducing)-189(any)-190(free-)]TJ ET 1 0 0 1 32.706 50.644 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -50.644 cm BT /F22 8.2889 Tf 32.706 40.361 Td [(weighting)-263(matrices)-262(besides)-263(the)-263(Lyapunov)-262(matrices.)-263(Therefore,)-263(the)]TJ ET 1 0 0 1 32.706 40.361 cm 0 g 0 G 0 g 0 G 1 0 0 1 260.025 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 -292.731 -40.361 cm BT /F22 8.2889 Tf 301.697 720.809 Td [(method)-398(proposed)-398(in)-398(this)-398(paper)-398(may)-398(involve)-399(muc)1(h)-399(less)-398(decision)]TJ ET 1 0 0 1 301.697 720.809 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -720.809 cm BT /F22 8.2889 Tf 301.697 709.96 Td [(variables)-420(than)-421(the)-420(well-known)-420(free-weighting)-420(matrices)-421(method)]TJ ET 1 0 0 1 301.697 709.96 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -709.96 cm BT /F22 8.2889 Tf 301.697 699.11 Td [(\050)]TJ ET 1 0 0 1 304.764 699.11 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -304.764 -699.11 cm BT /F22 8.2889 Tf 304.764 699.11 Td [(He)]TJ ET 1 0 0 1 315.308 699.11 cm 0 g 0 G 1 0 0 1 3.175 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -318.483 -699.11 cm BT /F22 8.2889 Tf 318.483 699.11 Td [(et)-383(al.)]TJ ET 1 0 0 1 337.83 699.11 cm 0 g 0 G 1 0 0 1 -337.83 -699.11 cm BT /F22 8.2889 Tf 337.83 699.11 Td [(,)]TJ ET 1 0 0 1 339.77 699.11 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 3.177 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -342.947 -699.11 cm BT /F22 8.2889 Tf 342.947 699.11 Td [(2005)]TJ ET 1 0 0 1 362.144 699.11 cm 0 g 0 G 1 0 0 1 -362.144 -699.11 cm BT /F22 8.2889 Tf 362.144 699.11 Td [(,)]TJ ET 1 0 0 1 364.083 699.11 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 3.177 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -367.26 -699.11 cm BT /F22 8.2889 Tf 367.26 699.11 Td [(2007)]TJ ET 1 0 0 1 386.457 699.11 cm 0 g 0 G 1 0 0 1 -386.457 -699.11 cm BT /F22 8.2889 Tf 386.457 699.11 Td [(,)]TJ ET 1 0 0 1 388.397 699.11 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 3.176 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -391.573 -699.11 cm BT /F22 8.2889 Tf 391.573 699.11 Td [(2004)]TJ ET 1 0 0 1 410.77 699.11 cm 0 g 0 G 1 0 0 1 -410.77 -699.11 cm BT /F22 8.2889 Tf 410.77 699.11 Td [(\051)-383(if)-383(the)-383(same)-383(Lyapunov)-384(functional)-383(is)]TJ ET 1 0 0 1 301.697 699.11 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -699.11 cm BT /F22 8.2889 Tf 301.697 688.261 Td [(chosen.)-235(For)-235(example,)-236(the)-235(decision)-235(variables)-235(of)]TJ ET 1 0 0 1 476.943 688.261 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -476.943 -688.261 cm BT /F22 8.2889 Tf 476.943 688.261 Td [(Theorem)-235(2)]TJ ET 1 0 0 1 517.842 688.261 cm 0 g 0 G 1 0 0 1 -517.842 -688.261 cm BT /F22 8.2889 Tf 519.791 688.261 Td [(involved)]TJ ET 1 0 0 1 301.697 688.261 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -688.261 cm BT /F22 8.2889 Tf 301.697 677.412 Td [(using)-193(our)-193(method)-193(is)-193(18)]TJ/F40 8.2889 Tf 85.734 0 Td [(n)]TJ/F22 5.8022 Tf 4.791 3.472 Td [(2)]TJ/F179 9.5641 Tf 4.531 -3.472 Td [(C)]TJ/F22 8.2889 Tf 8.133 0 Td [(8)]TJ/F40 8.2889 Tf 4.799 0 Td [(n)]TJ/F22 8.2889 Tf 4.791 0 Td [(.)-193(If)-193(using)-194(the)-193(free-weighting)-193(matrices)]TJ ET 1 0 0 1 301.697 677.412 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -677.412 cm BT /F22 8.2889 Tf 301.697 666.563 Td [(method)-217(in)]TJ ET 1 0 0 1 342.592 666.563 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -342.592 -666.563 cm BT /F22 8.2889 Tf 342.592 666.563 Td [(He)]TJ ET 1 0 0 1 353.135 666.563 cm 0 g 0 G 1 0 0 1 1.798 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -354.933 -666.563 cm BT /F22 8.2889 Tf 354.933 666.563 Td [(et)-217(al.)]TJ ET 1 0 0 1 372.902 666.563 cm 0 g 0 G 1 0 0 1 1.799 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -374.701 -666.563 cm BT /F22 8.2889 Tf 374.701 666.563 Td [(\050)]TJ ET 1 0 0 1 377.768 666.563 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -377.768 -666.563 cm BT /F22 8.2889 Tf 377.768 666.563 Td [(2007)]TJ ET 1 0 0 1 396.965 666.563 cm 0 g 0 G 1 0 0 1 -396.965 -666.563 cm BT /F22 8.2889 Tf 396.965 666.563 Td [(\051,)-217(the)-217(decision)-217(vari)1(ables)-217(will)-217(be)-217(28)]TJ/F40 8.2889 Tf 127.533 0 Td [(n)]TJ/F22 5.8022 Tf 4.791 3.472 Td [(2)]TJ/F179 9.5641 Tf 5.137 -3.472 Td [(C)]TJ/F22 8.2889 Tf 8.74 0 Td [(8)]TJ/F40 8.2889 Tf 4.799 0 Td [(n)]TJ ET 1 0 0 1 301.697 666.563 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -666.563 cm BT /F22 8.2889 Tf 301.697 655.713 Td [(or)-250(even)-250(more.)]TJ ET 1 0 0 1 301.697 655.713 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -655.713 cm BT /F22 8.2889 Tf 313.653 635.779 Td [(Compared)-229(with)-230(the)-229(existing)-229(Lyapunov)-230(functional,)-229(the)-229(proposed)]TJ ET 1 0 0 1 301.697 635.779 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -635.779 cm BT /F22 8.2889 Tf 301.697 624.93 Td [(one)]TJ ET 1 0 0 1 320.227 624.93 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -320.227 -624.93 cm BT /F22 8.2889 Tf 320.227 624.93 Td [(\0506\051)]TJ ET 1 0 0 1 331.152 624.93 cm 0 g 0 G 1 0 0 1 -331.152 -624.93 cm BT /F22 8.2889 Tf 335.599 624.93 Td [(contains)-536(some)-537(triple-integral)-536(terms.)-539(Such)-536(a)-537(Lyapunov)]TJ ET 1 0 0 1 301.697 624.93 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -624.93 cm BT /F22 8.2889 Tf 301.697 614.08 Td [(functional)-327(type)-327(is)-327(very)-327(effective)-327(in)-327(the)-328(reduction)-327(of)-327(conservatism)]TJ ET 1 0 0 1 301.697 614.08 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -614.08 cm BT /F22 8.2889 Tf 301.697 603.231 Td [(\050)]TJ ET 1 0 0 1 304.764 603.231 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -304.764 -603.231 cm BT /F22 8.2889 Tf 304.764 603.231 Td [(Sun)]TJ ET 1 0 0 1 319.129 603.231 cm 0 g 0 G 1 0 0 1 4.795 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -323.924 -603.231 cm BT /F22 8.2889 Tf 323.924 603.231 Td [(et)-578(al.,)]TJ ET 1 0 0 1 346.829 603.231 cm 0 g 0 G 1 0 0 1 4.798 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -351.627 -603.231 cm BT /F22 8.2889 Tf 351.627 603.231 Td [(2009)]TJ ET 1 0 0 1 370.824 603.231 cm 0 g 0 G 1 0 0 1 -370.824 -603.231 cm BT /F22 8.2889 Tf 370.824 603.231 Td [(\051.)-580(This)-579(is)-578(one)-579(reason)-578(why)-579(our)-578(result)-578(is)-579(less)]TJ ET 1 0 0 1 301.697 603.231 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -603.231 cm BT /F22 8.2889 Tf 301.697 592.382 Td [(conservative)-672(than)-673(the)-672(existing)-672(ones.)-675(Another)-672(reason)-672(is)-673(that)]TJ ET 1 0 0 1 301.697 592.382 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -592.382 cm BT /F22 8.2889 Tf 301.697 581.533 Td [(the)-457(information)-457(on)-456(the)-457(lower)-457(bound)-457(of)-456(the)-457(delay)-457(is)-457(effectively)]TJ ET 1 0 0 1 301.697 581.533 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -581.533 cm BT /F22 8.2889 Tf 301.697 570.683 Td [(used)-732(in)-732(the)-732(Lyapunov)-732(functional)-732(by)-732(introducing)-732(the)-732(terms)]TJ ET 1 0 0 1 301.697 570.683 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -570.683 cm BT /F181 9.5641 Tf 301.697 566.627 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.585 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -12.526 -7.023 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F40 8.2889 Tf 7.325 4.61 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.471 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.471 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.069 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 7.358 0 Td [(and)]TJ/F181 9.5641 Tf 18.225 7.704 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.585 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -12.526 -7.023 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F40 8.2889 Tf 4.589 3.257 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.471 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.471 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.931 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(.)-481(To)-480(the)-480(best)-479(of)-480(the)]TJ ET 1 0 0 1 301.697 558.923 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -558.923 cm BT /F22 8.2889 Tf 301.697 546.956 Td [(authors')-408(knowledge,)-408(the)-408(most)-408(recent)-408(and)-409(the)-408(least)-408(conservative)]TJ ET 1 0 0 1 301.697 546.956 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -546.956 cm BT /F22 8.2889 Tf 301.697 536.106 Td [(results)-226(for)-225(linear)-226(systems)-226(with)-226(time-varying)-225(delays)-226(were)-226(proposed)]TJ ET 1 0 0 1 301.697 536.106 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -536.106 cm BT /F22 8.2889 Tf 301.697 525.257 Td [(in)]TJ ET 1 0 0 1 311.173 525.257 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -311.173 -525.257 cm BT /F22 8.2889 Tf 311.173 525.257 Td [(Shao)]TJ ET 1 0 0 1 329.549 525.257 cm 0 g 0 G 1 0 0 1 1.966 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -331.515 -525.257 cm BT /F22 8.2889 Tf 331.515 525.257 Td [(\050)]TJ ET 1 0 0 1 334.582 525.257 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -334.582 -525.257 cm BT /F22 8.2889 Tf 334.582 525.257 Td [(2009)]TJ ET 1 0 0 1 353.779 525.257 cm 0 g 0 G 1 0 0 1 -353.779 -525.257 cm BT /F22 8.2889 Tf 353.779 525.257 Td [(\051.)-237(Therefore,)-237(in)-237(the)-238(following)-237(part,)-237(we)-237(will)-237(prove)-237(that)]TJ ET 1 0 0 1 301.697 525.257 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -525.257 cm BT /F22 8.2889 Tf 301.697 514.408 Td [(our)-172(results)-171(are)-172(still)-171(less)-172(conservative)-172(than)-171(those)-172(in)]TJ ET 1 0 0 1 487.977 514.408 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -487.977 -514.408 cm BT /F22 8.2889 Tf 487.977 514.408 Td [(Shao)]TJ ET 1 0 0 1 506.353 514.408 cm 0 g 0 G 1 0 0 1 1.423 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -507.776 -514.408 cm BT /F22 8.2889 Tf 507.776 514.408 Td [(\050)]TJ ET 1 0 0 1 510.842 514.408 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -510.842 -514.408 cm BT /F22 8.2889 Tf 510.842 514.408 Td [(2009)]TJ ET 1 0 0 1 530.039 514.408 cm 0 g 0 G 1 0 0 1 -530.039 -514.408 cm BT /F22 8.2889 Tf 530.039 514.408 Td [(\051)-172(even)]TJ ET 1 0 0 1 301.697 514.408 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -514.408 cm BT /F22 8.2889 Tf 301.697 503.559 Td [(if)-250(the)-250(triple-integral)-250(terms)-250(are)-250(not)-250(introduced.)]TJ ET 1 0 0 1 301.697 503.559 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -503.559 cm BT /F22 8.2889 Tf 313.653 491.932 Td [(To)-288(compare)-289(our)-288(results)-289(fairly)-288(with)]TJ ET 1 0 0 1 447.15 491.932 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -447.15 -491.932 cm BT /F22 8.2889 Tf 447.15 491.932 Td [(Shao)]TJ ET 1 0 0 1 465.526 491.932 cm 0 g 0 G 1 0 0 1 2.391 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -467.917 -491.932 cm BT /F22 8.2889 Tf 467.917 491.932 Td [(\050)]TJ ET 1 0 0 1 470.984 491.932 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -470.984 -491.932 cm BT /F22 8.2889 Tf 470.984 491.932 Td [(2009)]TJ ET 1 0 0 1 490.181 491.932 cm 0 g 0 G 1 0 0 1 -490.181 -491.932 cm BT /F22 8.2889 Tf 490.181 491.932 Td [(\051,)-288(we)-289(choose)-288(the)]TJ ET 1 0 0 1 301.697 491.932 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -491.932 cm BT /F22 8.2889 Tf 301.697 481.083 Td [(following)-250(Lyapunov)-250(functional)-250(that)-250(is)-250(a)-250(special)-250(case)-250(of)]TJ ET 1 0 0 1 508.521 481.083 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -508.521 -481.083 cm BT /F22 8.2889 Tf 508.521 481.083 Td [(\0506\051)]TJ ET 1 0 0 1 519.445 481.083 cm 0 g 0 G 1 0 0 1 -519.445 -481.083 cm BT /F22 8.2889 Tf 519.445 481.083 Td [(.)]TJ ET 1 0 0 1 301.697 481.083 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -481.083 cm BT /F40 8.2889 Tf 301.697 456.144 Td [(V)]TJ/F183 9.5641 Tf 6.221 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(x)]TJ/F40 5.8022 Tf 4.069 -1.435 Td [(t)]TJ/F183 9.5641 Tf 3.049 1.435 Td [(/)]TJ/F179 9.5641 Tf 7.054 0 Td [(D)]TJ/F40 8.2889 Tf 10.947 0 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Px)]TJ/F183 9.5641 Tf 8.538 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(t)]TJ/F183 9.5641 Tf 3.643 0 Td [(/)]TJ/F179 9.5641 Tf 5.693 0 Td [(C)]TJ/F181 9.5641 Tf 9.585 13.016 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 8.2889 Tf 5.47 9.923 Td [(x)]TJ/F22 5.8022 Tf 4.069 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 301.697 456.144 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -456.144 cm BT /F179 9.5641 Tf 336.605 427.907 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F40 8.2889 Tf 9.85 9.922 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(2)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(x)]TJ/F183 9.5641 Tf 4.069 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F179 9.5641 Tf 5.507 0 Td [(C)]TJ/F181 9.5641 Tf 9.585 13.017 Td [(Z)]TJ/F40 5.8022 Tf 9.431 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(1)]TJ/F40 5.8022 Tf -15.051 -17.649 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.2 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F40 8.2889 Tf 4.589 8.569 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(3)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ ET 1 0 0 1 301.697 427.907 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -427.907 cm BT /F179 9.5641 Tf 336.605 399.114 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F22 5.8022 Tf 9.43 -2.584 Td [(0)]TJ/F179 6.6948 Tf -4.38 -19.002 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(1)]TJ/F181 9.5641 Tf 5.47 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F179 9.5641 Tf 6.15 8.743 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(1)]TJ/F179 9.5641 Tf 4.3 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)]TJ ET 1 0 0 1 301.697 399.114 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -399.114 cm BT /F179 9.5641 Tf 336.605 368.885 Td [(C)]TJ/F181 9.5641 Tf 10.648 13.017 Td [(Z)]TJ/F179 6.6948 Tf 9.43 -2.584 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F179 6.6948 Tf -12.501 -17.649 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(2)]TJ/F181 9.5641 Tf 9.851 22.939 Td [(Z)]TJ/F40 5.8022 Tf 9.43 -2.584 Td [(t)]TJ -4.38 -19.002 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(C)]TJ/F183 6.6948 Tf 5.222 0 Td [(\022)]TJ/F179 9.5641 Tf 6.149 8.743 Td [(P)]TJ/F40 8.2889 Tf -0.442 -0.174 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.95 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.95 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(2)]TJ/F179 9.5641 Tf 4.3 1.608 Td [(P)]TJ/F40 8.2889 Tf -0.443 -0.174 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.381 0 Td [(d)]TJ/F183 9.5641 Tf 4.932 0 Td [(\022)-100(:)]TJ/F22 8.2889 Tf 93.841 0 Td [(\05015\051)]TJ ET 1 0 0 1 301.697 368.885 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -368.885 cm BT /F22 8.2889 Tf 301.697 343.696 Td [(The)-188(only)-188(difference)-188(between)-188(Lyapunov)-188(functional)]TJ ET 1 0 0 1 489.256 343.696 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -489.256 -343.696 cm BT /F22 8.2889 Tf 489.256 343.696 Td [(\05015\051)]TJ ET 1 0 0 1 504.98 343.696 cm 0 g 0 G 1 0 0 1 -504.98 -343.696 cm BT /F22 8.2889 Tf 506.538 343.696 Td [(and)-188(the)-188(Lya-)]TJ ET 1 0 0 1 301.697 343.696 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -343.696 cm BT /F22 8.2889 Tf 301.697 331.935 Td [(punov)-420(functional)-420(in)]TJ ET 1 0 0 1 382.612 331.935 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -382.612 -331.935 cm BT /F22 8.2889 Tf 382.612 331.935 Td [(Shao)]TJ ET 1 0 0 1 400.988 331.935 cm 0 g 0 G 1 0 0 1 3.481 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -404.469 -331.935 cm BT /F22 8.2889 Tf 404.469 331.935 Td [(\050)]TJ ET 1 0 0 1 407.536 331.935 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -407.536 -331.935 cm BT /F22 8.2889 Tf 407.536 331.935 Td [(2009)]TJ ET 1 0 0 1 426.733 331.935 cm 0 g 0 G 1 0 0 1 -426.733 -331.935 cm BT /F22 8.2889 Tf 426.733 331.935 Td [(\051)-420(is)-420(that)]TJ/F181 9.5641 Tf 35.184 7.704 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -12.526 -7.024 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.898 -1.353 Td [(2)]TJ/F40 8.2889 Tf 7.326 4.61 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.472 Td [(T)]TJ/F183 9.5641 Tf 3.735 -3.472 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.381 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 6.862 0 Td [(and)]TJ ET 1 0 0 1 301.697 331.935 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -331.935 cm BT /F181 9.5641 Tf 301.697 325.017 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.584 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(1)]TJ/F40 5.8022 Tf -12.526 -7.023 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.199 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F40 8.2889 Tf 4.589 3.256 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.472 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.472 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 5.305 0 Td [(are)-232(introduced)-232(in)-232(our)-232(Lyapunov)-233(f)1(unctional)-233(in-)]TJ ET 1 0 0 1 301.697 317.313 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -317.313 cm BT /F22 8.2889 Tf 301.697 302.923 Td [(stead)-223(of)]TJ/F181 9.5641 Tf 31.527 7.704 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.584 Td [(t)]TJ -1.855 -8.377 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)]TJ/F22 4.9734 Tf 2.899 -1.353 Td [(2)]TJ/F40 8.2889 Tf 5.469 4.61 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.472 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.472 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.568 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 5.228 0 Td [(and)]TJ/F181 9.5641 Tf 16.095 7.704 Td [(R)]TJ/F40 5.8022 Tf 6.236 -2.584 Td [(t)]TJ -1.856 -8.377 Td [(t)]TJ/F179 6.6948 Tf 2.55 0 Td [(\000)]TJ/F183 6.6948 Tf 5.222 0 Td [(\034)-120(.)]TJ/F40 5.8022 Tf 6.2 0 Td [(t)]TJ/F183 6.6948 Tf 2.55 0 Td [(/)]TJ/F40 8.2889 Tf 4.589 3.257 Td [(x)]TJ/F22 5.8022 Tf 4.07 3.472 Td [(T)]TJ/F183 9.5641 Tf 3.736 -3.472 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(x)]TJ/F183 9.5641 Tf 4.07 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(s)]TJ/F183 9.5641 Tf 3.382 0 Td [(/)]TJ/F22 8.2889 Tf 3.567 0 Td [(d)]TJ/F40 8.2889 Tf 4.932 0 Td [(s)]TJ/F22 8.2889 Tf 3.382 0 Td [(.)-223(Define)]TJ/F179 9.5641 Tf 30.972 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F40 5.8022 Tf 3.979 -1.435 Td [(i)]TJ/F22 8.2889 Tf 4.004 1.435 Td [(\050)]TJ/F40 8.2889 Tf 3.067 0 Td [(i)]TJ/F179 9.5641 Tf 5.027 0 Td [(D)]TJ ET 1 0 0 1 301.697 302.923 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -302.923 cm BT /F22 8.2889 Tf 301.697 289.345 Td [(1)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(2)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(3)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(4\051)-315(are)-315(block)-315(entry)-315(matrices.)-315(For)-315(example,)]TJ/F179 9.5641 Tf 161.475 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.519 Td [(T)]TJ 0 -6.212 Td [(2)]TJ/F179 9.5641 Tf 7.894 2.693 Td [(D)]TJ/F22 8.2889 Tf 11.497 0.084 Td [([)]TJ 2.992 -0.084 Td [(0)]TJ/F40 8.2889 Tf 8.944 0 Td [(I)]TJ/F22 8.2889 Tf 7.315 0 Td [(0)-500(0)]TJ 13.743 0.084 Td [(])]TJ 2.992 -0.084 Td [(.)]TJ ET 1 0 0 1 301.697 289.345 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -289.345 cm BT /F22 8.2889 Tf 301.697 278.496 Td [(Using)-258(this)-258(Lyapunov)-257(functional,)-258(the)-258(following)-257(corollary)-258(can)-258(be)-258(ob-)]TJ ET 1 0 0 1 301.697 278.496 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -278.496 cm BT /F22 8.2889 Tf 301.697 267.646 Td [(tained)-250(from)]TJ ET 1 0 0 1 348.571 267.646 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -348.571 -267.646 cm BT /F22 8.2889 Tf 348.571 267.646 Td [(Theorem)-250(2)]TJ ET 1 0 0 1 389.592 267.646 cm 0 g 0 G 1 0 0 1 -389.592 -267.646 cm BT /F22 8.2889 Tf 389.592 267.646 Td [(.)]TJ ET 1 0 0 1 301.697 267.646 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -22.963 cm 0 g 0 G 1 0 0 1 -297.712 -244.683 cm BT /F153 8.2889 Tf 301.697 244.683 Td [(Corollary)-250(4.)]TJ ET 1 0 0 1 347.684 244.683 cm 0 g 0 G 1 0 0 1 -347.684 -244.683 cm BT /F40 8.2889 Tf 351.669 244.683 Td [(Given)-257(scalars)]TJ/F22 8.2889 Tf 50.027 0 Td [(0)]TJ/F183 9.5641 Tf 7.599 0 Td [(<)-293(\034)]TJ/F22 5.8022 Tf 14.4 -1.434 Td [(1)]TJ/F183 9.5641 Tf 6.657 1.434 Td [(<)-293(\034)]TJ/F22 5.8022 Tf 14.401 -1.434 Td [(2)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(,)-257(and)]TJ/F22 8.2889 Tf 19.955 0 Td [(0)]TJ/F166 7.9701 Tf 7.598 0 Td [(6)]TJ/F183 9.5641 Tf 8.999 0 Td [(\026)]TJ/F40 8.2889 Tf 6.561 0 Td [(,)-257(system)]TJ ET 1 0 0 1 523.043 244.683 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -523.043 -244.683 cm BT /F22 8.2889 Tf 523.043 244.683 Td [(\0501\051)]TJ ET 1 0 0 1 533.967 244.683 cm 0 g 0 G 1 0 0 1 -533.967 -244.683 cm BT /F40 8.2889 Tf 536.095 244.683 Td 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[(/)]TJ/F179 9.5641 Tf 4.592 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.961 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F179 9.5641 Tf 3.964 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(3)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ 9.982 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(2)]TJ/F183 9.5641 Tf 3.857 2.572 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.341 0 Td [(0)-11756(\05019\051)]TJ ET 1 0 0 1 42.52 649.6 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -649.6 cm BT /F40 8.2889 Tf 42.52 633.982 Td [(where)]TJ ET 1 0 0 1 42.52 633.982 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -633.982 cm BT /F179 9.5641 Tf 44.766 602.242 Td [(O)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F179 9.5641 Tf 11.164 0 Td [(D)]TJ/F181 9.5641 Tf 10.947 24.905 Td [(2)]TJ 0 -16.776 Td [(6)]TJ 0 -5.738 Td [(6)]TJ 0 -6.179 Td [(4)]TJ/F179 9.5641 Tf 9.218 23.255 Td [(O)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(11)]TJ/F179 9.5641 Tf 47.103 3.395 Td [(O)]TJ/F40 8.2889 Tf -1.029 -1.96 Td [(P)-93(A)]TJ/F22 5.8022 Tf 10.274 -1.435 Td [(1)]TJ/F179 9.5641 Tf 68.052 3.395 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(1)]TJ/F22 8.2889 Tf 54.191 1.435 Td [(0)]TJ/F179 9.5641 Tf -184.342 -12.262 Td [(\003)-1526(\000)]TJ/F183 9.5641 Tf 27.039 0 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F179 9.5641 Tf 6.925 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\026/)]TJ/F179 9.5641 Tf 12.003 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F22 8.2889 Tf 9.586 0 Td [(2)]TJ/F179 9.5641 Tf 5.824 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F179 9.5641 Tf 39.158 3.395 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F179 9.5641 Tf 53.499 3.395 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F179 9.5641 Tf -187.001 -10.827 Td [(\003)-5026(\003)-4541(\000)]TJ 110.796 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ 10.61 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ 10.61 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F22 8.2889 Tf 29.878 1.435 Td [(0)]TJ/F179 9.5641 Tf -184.342 -12.262 Td [(\003)-5026(\003)-7253(\003)-3753(\000)]TJ 177.619 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ 10.61 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F181 9.5641 Tf 3.858 45.334 Td [(3)]TJ 0 -16.775 Td [(7)]TJ 0 -5.738 Td [(7)]TJ 0 -6.179 Td [(5)]TJ ET 1 0 0 1 42.52 600.566 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -600.566 cm BT /F179 9.5641 Tf 64.631 565.324 Td [(C)]TJ/F22 8.2889 Tf 10.648 0.084 Td [([)]TJ/F40 8.2889 Tf 2.992 -0.084 Td [(A)-500(A)]TJ/F22 5.8022 Tf 14.207 -1.435 Td [(1)]TJ/F22 8.2889 Tf 8.002 1.435 Td [(0)-500(0)]TJ 13.743 0.084 Td [(])]TJ/F22 5.8022 Tf 2.992 3.865 Td [(T)]TJ/F183 9.5641 Tf 5.33 -3.949 Td [(.\034)]TJ/F22 5.8022 Tf 8.856 3.949 Td [(2)]TJ -1.147 -6.522 Td [(1)]TJ/F179 9.5641 Tf 6.03 4.533 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.982 1.435 Td [(C)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ -1.148 -6.523 Td [(12)]TJ/F179 9.5641 Tf 8.242 4.533 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F22 8.2889 Tf 5.162 0.084 Td [([)]TJ/F40 8.2889 Tf 2.992 -0.084 Td [(A)-500(A)]TJ/F22 5.8022 Tf 14.207 -1.435 Td [(1)]TJ/F22 8.2889 Tf 8.002 1.435 Td [(0)-500(0)]TJ 13.743 0.084 Td [(])]TJ ET 1 0 0 1 42.52 565.324 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -565.324 cm BT /F40 8.2889 Tf 42.52 547.2 Td [(with)]TJ/F179 9.5641 Tf 20.979 1.676 Td [(O)]TJ/F183 9.2055 Tf -2.247 -1.676 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(11)]TJ/F179 9.5641 Tf 9.874 1.435 Td [(D)]TJ 11.146 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.029 -1.96 Td [(P)-93(A)]TJ/F179 9.5641 Tf 12.399 0 Td [(C)]TJ/F40 8.2889 Tf 9.585 0 Td [(A)]TJ/F22 5.8022 Tf 5.032 3.472 Td [(T)]TJ/F179 9.5641 Tf 4.764 -1.512 Td [(O)]TJ/F40 8.2889 Tf -1.029 -1.96 Td [(P)]TJ/F179 9.5641 Tf 7.368 0 Td [(C)]TJ 11.46 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ 11.459 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(C)]TJ 11.46 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ 10.61 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(.)]TJ ET 1 0 0 1 42.52 547.2 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -547.2 cm BT /F22 8.2889 Tf 42.52 532.266 Td [(For)]TJ ET 1 0 0 1 58 532.266 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -58 -532.266 cm BT /F22 8.2889 Tf 58 532.266 Td [(Corollary)-382(4)]TJ ET 1 0 0 1 100.942 532.266 cm 0 g 0 G 1 0 0 1 -100.942 -532.266 cm BT /F22 8.2889 Tf 104.106 532.266 Td [(and)]TJ ET 1 0 0 1 121.518 532.266 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -121.518 -532.266 cm BT /F22 8.2889 Tf 121.518 532.266 Td [(Theorem)-382(5)]TJ ET 1 0 0 1 163.63 532.266 cm 0 g 0 G 1 0 0 1 -163.63 -532.266 cm BT /F22 8.2889 Tf 163.63 532.266 Td [(,)-382(the)-381(following)-382(conclusion)-382(can)-381(be)]TJ ET 1 0 0 1 42.52 532.266 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -532.266 cm BT /F22 8.2889 Tf 42.52 522.078 Td [(drawn.)]TJ ET 1 0 0 1 42.52 522.078 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -16.89 cm 0 g 0 G 1 0 0 1 -38.535 -505.188 cm BT /F153 8.2889 Tf 42.52 505.188 Td [(Theorem)-250(6.)]TJ ET 1 0 0 1 87.52 505.188 cm 0 g 0 G 1 0 0 1 -87.52 -505.188 cm BT /F40 8.2889 Tf 91.505 505.188 Td [(If)-195(there)-195(exist)-195(matrices)]TJ/F179 9.5641 Tf 79.338 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.028 -1.96 Td [(P)]TJ/F183 9.5641 Tf 7.899 0 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)]TJ/F179 9.5641 Tf 5.374 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.96 Td [(Q)]TJ/F40 5.8022 Tf 5.653 -1.435 Td [(i)]TJ/F183 9.5641 Tf 4.815 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-195(i)]TJ/F179 9.5641 Tf 8.527 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(2)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(3)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)]TJ/F179 9.5641 Tf 4.524 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.96 Td [(Z)]TJ/F40 5.8022 Tf 4.376 -1.435 Td [(j)]TJ/F183 9.5641 Tf 4.832 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.116 0 Td [(0)]TJ/F40 8.2889 Tf 4.8 0 Td [(,)]TJ ET 1 0 0 1 42.52 505.188 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -505.188 cm BT /F40 8.2889 Tf 42.52 495 Td [(j)]TJ/F179 9.5641 Tf 5.052 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(2)]TJ/F40 8.2889 Tf 4.8 0 Td [(,)-242(with)-242(appropriate)-243(dimensions)-242(such)-242(that)]TJ ET 1 0 0 1 219.082 495 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -219.082 -495 cm BT /F22 8.2889 Tf 219.082 495 Td [(\05018\051)]TJ ET 1 0 0 1 234.806 495 cm 0 g 0 G 1 0 0 1 -234.806 -495 cm BT /F40 8.2889 Tf 234.806 495 Td [(\025)]TJ ET 1 0 0 1 239.605 495 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -239.605 -495 cm BT /F22 8.2889 Tf 239.605 495 Td [(\05019\051)]TJ ET 1 0 0 1 255.329 495 cm 0 g 0 G 1 0 0 1 -255.329 -495 cm BT /F40 8.2889 Tf 257.337 495 Td [(hold,)-242(then)]TJ ET 1 0 0 1 42.52 495 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -495 cm BT /F40 8.2889 Tf 42.52 483.128 Td [(the)-288(matrices)-288(P)]TJ/F179 9.5641 Tf 56.337 0 Td [(D)]TJ 11.954 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.029 -1.961 Td [(P)]TJ/F183 9.5641 Tf 8.708 0 Td [(>)]TJ/F22 8.2889 Tf 10.926 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-288(Q)]TJ/F22 5.8022 Tf 9.923 -1.434 Td [(1)]TJ/F179 9.5641 Tf 7.323 1.434 Td [(D)]TJ 12.8 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(1)]TJ/F179 9.5641 Tf 6.306 1.434 Td [(C)]TJ 11.783 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(2)]TJ/F179 9.5641 Tf 6.306 1.434 Td [(C)]TJ 11.784 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(3)]TJ/F183 9.5641 Tf 7.324 1.434 Td [(>)]TJ/F22 8.2889 Tf 10.925 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-288(Q)]TJ/F22 5.8022 Tf 9.923 -1.434 Td [(2)]TJ/F179 9.5641 Tf 7.323 1.434 Td [(D)]TJ 12.8 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(2)]TJ/F183 9.5641 Tf 7.323 1.434 Td [(>)]TJ/F22 8.2889 Tf 10.925 0 Td [(0)]TJ/F40 8.2889 Tf 4.8 0 Td [(,)]TJ ET 1 0 0 1 42.52 483.128 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -483.128 cm BT /F40 8.2889 Tf 42.52 471.521 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(3)]TJ/F179 9.5641 Tf 8.985 1.434 Td [(D)]TJ 14.462 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(3)]TJ/F183 9.5641 Tf 8.986 1.434 Td [(>)]TJ/F22 8.2889 Tf 12.587 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-366(Z)]TJ/F40 5.8022 Tf 9.295 -1.434 Td [(j)]TJ/F179 9.5641 Tf 7.303 1.434 Td [(D)]TJ 13.612 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.961 Td [(Z)]TJ/F40 5.8022 Tf 4.377 -1.434 Td [(j)]TJ/F183 9.5641 Tf 7.302 1.434 Td [(>)]TJ/F22 8.2889 Tf 12.588 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-366(j)]TJ/F179 9.5641 Tf 12.442 0 Td [(D)]TJ/F22 8.2889 Tf 12.587 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(2)]TJ/F40 8.2889 Tf 7.835 0 Td [(are)-366(feasible)-367(solutions)-366(for)]TJ ET 1 0 0 1 42.52 471.521 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.187 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -42.52 -461.334 cm BT /F22 8.2889 Tf 42.52 461.334 Td [(\05016\051)]TJ ET 1 0 0 1 58.244 461.334 cm 0 g 0 G 1 0 0 1 -58.244 -461.334 cm BT /F40 8.2889 Tf 58.244 461.334 Td [(\025)]TJ ET 1 0 0 1 63.043 461.334 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -63.043 -461.334 cm BT /F22 8.2889 Tf 63.043 461.334 Td [(\05017\051)]TJ ET 1 0 0 1 78.767 461.334 cm 0 g 0 G 1 0 0 1 -78.767 -461.334 cm BT /F40 8.2889 Tf 78.767 461.334 Td [(.)]TJ ET 1 0 0 1 42.52 461.334 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -16.205 cm 0 g 0 G 1 0 0 1 -38.535 -445.129 cm BT /F153 8.2889 Tf 42.52 445.129 Td [(Proof.)]TJ ET 1 0 0 1 66.748 445.129 cm 0 g 0 G 1 0 0 1 -66.748 -445.129 cm BT /F22 8.2889 Tf 70.733 445.129 Td [(Suppose)-186(that)-186(there)-187(exist)-186(matrices)]TJ/F179 9.5641 Tf 127.708 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.029 -1.96 Td [(P)]TJ/F183 9.5641 Tf 7.899 0 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(0,)]TJ/F179 9.5641 Tf 10.157 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.96 Td [(Q)]TJ/F40 5.8022 Tf 5.653 -1.435 Td [(i)]TJ/F183 9.5641 Tf 4.814 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.117 0 Td [(0,)]TJ/F40 8.2889 Tf 8.283 0 Td [(i)]TJ/F179 9.5641 Tf 5.027 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(2)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(3,)]TJ ET 1 0 0 1 42.52 445.129 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -445.129 cm BT /F179 9.5641 Tf 43.544 435.221 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.96 Td [(Z)]TJ/F40 5.8022 Tf 4.376 -1.435 Td [(j)]TJ/F183 9.5641 Tf 5.263 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.548 0 Td [(0,)]TJ/F40 8.2889 Tf 8.979 0 Td [(j)]TJ/F179 9.5641 Tf 5.483 0 Td [(D)]TJ/F22 8.2889 Tf 10.548 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.76 0 Td [(2,)-270(with)-271(appropriate)-270(dimensions)-270(such)-270(that)]TJ ET 1 0 0 1 257.331 433.26 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -257.331 -433.26 cm BT /F22 8.2889 Tf 257.331 433.26 Td [(\05018\051)]TJ ET 1 0 0 1 273.055 433.26 cm 0 g 0 G 1 0 0 1 -273.055 -433.26 cm BT /F22 8.2889 Tf 273.055 433.26 Td [(\025)]TJ ET 1 0 0 1 277.854 433.26 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -277.854 -433.26 cm BT /F22 8.2889 Tf 277.854 433.26 Td [(\05019\051)]TJ ET 1 0 0 1 293.578 433.26 cm 0 g 0 G 1 0 0 1 -251.058 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -433.26 cm BT /F22 8.2889 Tf 42.52 420.479 Td [(hold,)-250(and)-250(define)]TJ/F40 8.2889 Tf 63.459 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(1)]TJ/F179 9.5641 Tf 6.514 1.434 Td [(D)]TJ 11.991 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(C)]TJ 11.46 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(C)]TJ 11.46 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(3)]TJ/F22 8.2889 Tf 3.858 1.434 Td [(,)-250(then)]TJ ET 1 0 0 1 42.52 420.479 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -420.479 cm BT /F179 9.5641 Tf 44.766 403.125 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.434 Td [(1)]TJ/F179 9.5641 Tf 7.344 1.434 Td [(D)]TJ 13.193 1.676 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F179 9.5641 Tf 9.803 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F179 9.5641 Tf 3.964 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ 9.982 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(4)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F179 9.5641 Tf 4.592 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.961 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F179 9.5641 Tf 3.964 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ 9.982 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(4)]TJ/F183 9.5641 Tf 3.857 2.573 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.341 0 Td [(0)-11555(\05020\051)]TJ ET 1 0 0 1 42.52 401.449 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -401.449 cm BT /F179 9.5641 Tf 44.766 385.451 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(2)]TJ/F179 9.5641 Tf 7.344 1.435 Td [(D)]TJ 13.193 1.676 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F179 9.5641 Tf 9.803 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F179 9.5641 Tf 3.964 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ 9.982 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F179 9.5641 Tf 4.592 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F179 9.5641 Tf 3.964 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ 9.982 0.174 Td [(Q)]TJ/F40 8.2889 Tf -0.397 -0.174 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F183 9.5641 Tf 3.857 2.573 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.341 0 Td [(0)-11555(\05021\051)]TJ ET 1 0 0 1 42.52 383.775 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -383.775 cm BT /F22 8.2889 Tf 42.52 368.157 Td [(where)]TJ ET 1 0 0 1 42.52 368.157 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -368.157 cm BT /F179 9.5641 Tf 44.766 336.683 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F179 9.5641 Tf 11.164 0 Td [(D)]TJ/F181 9.5641 Tf 10.947 24.905 Td [(2)]TJ 0 -16.776 Td [(6)]TJ 0 -5.738 Td [(6)]TJ 0 -6.179 Td [(4)]TJ/F179 9.5641 Tf 9.218 22.989 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(11)]TJ/F179 9.5641 Tf 47.103 3.395 Td [(O)]TJ/F40 8.2889 Tf -1.029 -1.96 Td [(P)-93(A)]TJ/F22 5.8022 Tf 10.274 -1.435 Td [(1)]TJ/F179 9.5641 Tf 46.747 3.395 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(1)]TJ/F22 8.2889 Tf 32.886 1.435 Td [(0)]TJ/F179 9.5641 Tf -141.732 -12.262 Td [(\003)-1526(\000)]TJ/F183 9.5641 Tf 27.039 0 Td [(.)]TJ/F22 8.2889 Tf 3.567 0 Td [(1)]TJ/F179 9.5641 Tf 6.925 0 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(\026/)]TJ/F179 9.5641 Tf 12.003 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F22 8.2889 Tf 9.586 0 Td [(2)]TJ/F179 9.5641 Tf 5.824 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F179 9.5641 Tf 17.853 3.395 Td [(O)]TJ/F40 8.2889 Tf -1.024 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F179 9.5641 Tf 32.194 3.395 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F179 9.5641 Tf -144.391 -10.295 Td [(\003)-5026(\003)]TJ 103.708 1.677 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.677 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.434 Td [(33)]TJ/F22 8.2889 Tf 33.237 1.434 Td [(0)]TJ/F179 9.5641 Tf -141.732 -12.262 Td [(\003)-5026(\003)-5025(\003)-1526(\000)]TJ 135.009 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.961 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ 10.61 1.961 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.961 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(2)]TJ/F181 9.5641 Tf 3.858 45.068 Td [(3)]TJ 0 -16.776 Td [(7)]TJ 0 -5.738 Td [(7)]TJ 0 -6.179 Td [(5)]TJ ET 1 0 0 1 42.52 335.007 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -335.007 cm BT /F179 9.5641 Tf 64.631 300.031 Td [(C)]TJ/F22 8.2889 Tf 10.648 0.085 Td [([)]TJ/F40 8.2889 Tf 2.992 -0.085 Td [(A)-500(A)]TJ/F22 5.8022 Tf 14.207 -1.434 Td [(1)]TJ/F22 8.2889 Tf 8.002 1.434 Td [(0)-500(0)]TJ 13.743 0.085 Td [(])]TJ/F22 5.8022 Tf 2.992 3.865 Td [(T)]TJ/F183 9.5641 Tf 5.33 -3.95 Td [(.\034)]TJ/F22 5.8022 Tf 8.856 3.95 Td [(2)]TJ -1.147 -6.523 Td [(1)]TJ/F179 9.5641 Tf 6.03 4.533 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.982 1.435 Td [(C)]TJ/F183 9.5641 Tf 9.586 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.95 Td [(2)]TJ -1.148 -6.523 Td [(12)]TJ/F179 9.5641 Tf 8.242 4.533 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F22 8.2889 Tf 5.162 0.085 Td [([)]TJ/F40 8.2889 Tf 2.992 -0.085 Td [(A)-500(A)]TJ/F22 5.8022 Tf 14.207 -1.435 Td [(1)]TJ/F22 8.2889 Tf 8.002 1.435 Td [(0)-500(0)]TJ 13.743 0.085 Td [(])]TJ ET 1 0 0 1 42.52 300.031 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -300.031 cm BT /F22 8.2889 Tf 42.52 281.908 Td [(with)]TJ/F179 9.5641 Tf 21.924 1.676 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(11)]TJ/F179 9.5641 Tf 9.874 1.435 Td [(D)]TJ 11.145 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.029 -1.96 Td [(P)-94(A)]TJ/F179 9.5641 Tf 12.044 0 Td [(C)]TJ/F40 8.2889 Tf 9.23 0 Td [(A)]TJ/F22 5.8022 Tf 5.032 3.471 Td [(T)]TJ/F179 9.5641 Tf 4.764 -1.511 Td [(O)]TJ/F40 8.2889 Tf -1.028 -1.96 Td [(P)]TJ/F179 9.5641 Tf 7.012 0 Td [(C)]TJ/F40 8.2889 Tf 9.23 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.628 1.435 Td [(\000)]TJ 10.255 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F22 8.2889 Tf 3.857 1.435 Td [(,)]TJ/F179 9.5641 Tf 6.143 1.676 Td [(Q)]TJ/F183 9.2055 Tf -2.246 -1.676 Td [(\010)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(33)]TJ/F179 9.5641 Tf 9.873 1.435 Td [(D)-278(\000)]TJ/F40 8.2889 Tf 17.577 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.628 1.435 Td [(C)]TJ 11.104 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.627 1.435 Td [(C)]TJ 11.105 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.628 1.435 Td [(\000)]TJ 10.255 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.627 1.435 Td [(\000)]TJ 10.255 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(2)]TJ/F22 8.2889 Tf 3.857 1.435 Td [(.)]TJ ET 1 0 0 1 42.52 281.908 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -281.908 cm BT /F22 8.2889 Tf 42.52 270.301 Td [(It)-265(is)-264(clear)-265(that)]TJ/F40 8.2889 Tf 54.619 0 Td [(P)]TJ/F179 9.5641 Tf 8.21 0 Td [(D)]TJ 11.456 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.029 -1.96 Td [(P)]TJ/F183 9.5641 Tf 8.21 0 Td [(>)]TJ/F22 8.2889 Tf 10.428 0 Td [(0,)]TJ/F40 8.2889 Tf 8.932 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 6.825 1.435 Td [(D)]TJ 12.302 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 6.108 1.435 Td [(C)]TJ 11.584 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.875 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F179 9.5641 Tf 6.107 1.435 Td [(C)]TJ 11.584 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F183 9.5641 Tf 6.825 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.427 0 Td [(0,)]TJ/F40 8.2889 Tf 8.933 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F179 9.5641 Tf 6.825 1.435 Td [(D)]TJ 12.301 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F183 9.5641 Tf 6.825 1.435 Td [(>)]TJ/F22 8.2889 Tf 10.427 0 Td [(0,)]TJ ET 1 0 0 1 42.52 270.301 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -270.301 cm BT /F40 8.2889 Tf 42.52 258.694 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F179 9.5641 Tf 8.572 1.435 Td [(D)]TJ 14.05 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.874 -1.96 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(3)]TJ/F183 9.5641 Tf 8.572 1.435 Td [(>)]TJ/F22 8.2889 Tf 12.176 0 Td [(0,)]TJ/F40 8.2889 Tf 9.614 0 Td [(Z)]TJ/F40 5.8022 Tf 4.377 -1.435 Td [(j)]TJ/F179 9.5641 Tf 6.89 1.435 Td [(D)]TJ 13.2 1.96 Td [(O)]TJ/F40 8.2889 Tf -1.025 -1.96 Td [(Z)]TJ/F40 5.8022 Tf 4.377 -1.435 Td [(j)]TJ/F183 9.5641 Tf 6.89 1.435 Td [(>)]TJ/F22 8.2889 Tf 12.175 0 Td [(0,)]TJ/F40 8.2889 Tf 9.615 0 Td [(j)]TJ/F179 9.5641 Tf 7.11 0 Td [(D)]TJ/F22 8.2889 Tf 12.175 0 Td [(1)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(2)-347(are)-347(feasible)-347(solutions)-346(for)]TJ ET 1 0 0 1 42.52 258.694 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.188 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -42.52 -248.506 cm BT /F22 8.2889 Tf 42.52 248.506 Td [(\05016\051)]TJ ET 1 0 0 1 58.244 248.506 cm 0 g 0 G 1 0 0 1 -58.244 -248.506 cm BT /F22 8.2889 Tf 58.244 248.506 Td [(\025)]TJ ET 1 0 0 1 63.043 248.506 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -63.043 -248.506 cm BT /F22 8.2889 Tf 63.043 248.506 Td [(\05017\051)]TJ ET 1 0 0 1 78.767 248.506 cm 0 g 0 G 1 0 0 1 -78.767 -248.506 cm BT /F22 8.2889 Tf 78.767 248.506 Td [(.)-250(The)-250(proof)-250(is)-250(completed.)]TJ/F166 7.9701 Tf 105.857 0 Td [(\003)]TJ ET 1 0 0 1 42.52 248.506 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -248.506 cm BT /F22 8.2889 Tf 54.475 233.572 Td [(In)-212(many)-213(circumstances,)-212(the)-213(information)-212(on)-212(the)-213(delay)-212(derivative)]TJ ET 1 0 0 1 42.52 233.572 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -233.572 cm BT /F22 8.2889 Tf 42.52 223.385 Td [(may)-423(not)-423(be)-424(available.)-424(For)-423(this)-423(case,)-424(the)-423(following)-423(result)-423(can)-424(be)]TJ ET 1 0 0 1 42.52 223.385 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -223.385 cm BT /F22 8.2889 Tf 42.52 213.197 Td [(obtained)-250(from)]TJ ET 1 0 0 1 98.892 213.197 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -98.892 -213.197 cm BT /F22 8.2889 Tf 98.892 213.197 Td [(Theorem)-250(2)]TJ ET 1 0 0 1 139.914 213.197 cm 0 g 0 G 1 0 0 1 -139.914 -213.197 cm BT /F22 8.2889 Tf 141.986 213.197 Td [(by)-250(setting)]TJ/F40 8.2889 Tf 39.728 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.434 Td [(3)]TJ/F179 9.5641 Tf 6.514 1.434 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(0.)]TJ ET 1 0 0 1 42.52 213.197 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -18.489 cm 0 g 0 G 1 0 0 1 -38.535 -194.708 cm BT /F153 8.2889 Tf 42.52 194.708 Td [(Corollary)-250(7.)]TJ ET 1 0 0 1 88.506 194.708 cm 0 g 0 G 1 0 0 1 -88.506 -194.708 cm BT /F40 8.2889 Tf 92.491 194.708 Td [(Given)-359(scalars)]TJ/F22 8.2889 Tf 51.721 0 Td [(0)]TJ/F183 9.5641 Tf 9.769 0 Td [(<)-520(\034)]TJ/F22 5.8022 Tf 16.572 -1.435 Td [(1)]TJ/F183 9.5641 Tf 8.828 1.435 Td [(<)-520(\034)]TJ/F22 5.8022 Tf 16.572 -1.435 Td [(2)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(,)-359(system)]TJ ET 1 0 0 1 232.824 194.708 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -232.824 -194.708 cm BT /F22 8.2889 Tf 232.824 194.708 Td [(\0501\051)]TJ ET 1 0 0 1 243.749 194.708 cm 0 g 0 G 1 0 0 1 -243.749 -194.708 cm BT /F40 8.2889 Tf 246.723 194.708 Td [(with)-359(a)-359(time-)]TJ ET 1 0 0 1 42.52 194.708 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -194.708 cm BT /F40 8.2889 Tf 42.52 184.52 Td [(varying)-482(delay)-483(satisfying)]TJ ET 1 0 0 1 137.374 184.52 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -137.374 -184.52 cm BT /F22 8.2889 Tf 137.374 184.52 Td [(\0502\051)]TJ ET 1 0 0 1 148.298 184.52 cm 0 g 0 G 1 0 0 1 -148.298 -184.52 cm BT /F40 8.2889 Tf 152.297 184.52 Td [(is)-482(asymptotically)-483(stable)-482(if)-482(there)-483(exist)]TJ ET 1 0 0 1 42.52 184.52 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -184.52 cm BT /F40 8.2889 Tf 42.52 174.333 Td [(matrices)-421(P)]TJ/F179 9.5641 Tf 46.281 0 Td [(D)]TJ/F181 9.5641 Tf 13.746 7.69 Td [(\002)]TJ/F40 8.2889 Tf 3.768 -7.69 Td [(P)]TJ/F40 5.8022 Tf 4.468 -1.434 Td [(ij)]TJ/F181 9.5641 Tf 3.835 9.124 Td [(\003)]TJ/F22 5.8022 Tf 3.768 -11.372 Td [(5)]TJ/F179 6.6948 Tf 3.359 0 Td [(\002)]TJ/F22 5.8022 Tf 5.249 0 Td [(5)]TJ/F183 9.5641 Tf 10.143 3.682 Td [(>)]TJ/F22 8.2889 Tf 13.746 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-421(Q)]TJ/F40 5.8022 Tf 11.024 -1.434 Td [(i)]TJ/F183 9.5641 Tf 8.443 1.434 Td [(>)]TJ/F22 8.2889 Tf 13.746 0 Td [(0)]TJ/F40 8.2889 Tf 4.8 0 Td [(,)-421(i)]TJ/F179 9.5641 Tf 14.027 0 Td [(D)]TJ/F22 8.2889 Tf 13.746 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(2)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(4)]TJ/F183 9.5641 Tf 4.8 0 Td [(;)]TJ/F22 8.2889 Tf 4.759 0 Td [(5)]TJ/F40 8.2889 Tf 4.8 0 Td [(,)-421(Z)]TJ/F40 5.8022 Tf 9.747 -1.434 Td [(j)]TJ/F183 9.5641 Tf 8.461 1.434 Td [(>)]TJ/F22 8.2889 Tf 13.745 0 Td [(0)]TJ/F40 8.2889 Tf 4.8 0 Td [(,)]TJ ET 1 0 0 1 42.52 174.333 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -174.333 cm BT /F40 8.2889 Tf 42.52 162.738 Td [(j)]TJ/F179 9.5641 Tf 7.195 0 Td [(D)]TJ/F22 8.2889 Tf 12.26 0 Td [(1)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)-167(:)-166(:)-167(:)-167(;)]TJ/F22 8.2889 Tf 22.192 0 Td [(4)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-351(R)]TJ/F22 5.8022 Tf 9.656 -1.435 Td [(1)]TJ/F183 9.5641 Tf 8.657 1.435 Td [(>)]TJ/F22 8.2889 Tf 12.26 0 Td [(0)]TJ/F40 8.2889 Tf 4.799 0 Td [(,)-351(R)]TJ/F22 5.8022 Tf 9.656 -1.435 Td [(2)]TJ/F183 9.5641 Tf 8.658 1.435 Td [(>)]TJ/F22 8.2889 Tf 12.26 0 Td [(0)]TJ/F40 8.2889 Tf 7.707 0 Td [(with)-351(appropriate)-351(dimensions)-350(such)]TJ ET 1 0 0 1 42.52 162.738 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -162.738 cm BT /F40 8.2889 Tf 42.52 152.551 Td [(that)-250(the)-250(following)-250(LMIs)-250(hold:)]TJ ET 1 0 0 1 42.52 152.551 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -152.551 cm BT /F179 9.5641 Tf 44.95 135.216 Td [(O)]TJ/F183 9.2055 Tf -2.43 -1.676 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.435 Td [(1)]TJ/F179 9.5641 Tf 8.839 1.435 Td [(D)]TJ/F183 9.2055 Tf 12.441 0 Td [(\000)]TJ/F40 8.2889 Tf 7.567 0 Td [(P)]TJ/F183 9.2055 Tf 5.242 0 Td [(\007)]TJ/F22 5.8022 Tf 7.742 3.95 Td [(T)]TJ/F179 9.5641 Tf 5.861 -3.95 Td [(C)]TJ/F183 9.2055 Tf 9.586 0 Td [(\007)]TJ/F40 8.2889 Tf 7.741 0 Td [(P)]TJ/F183 9.2055 Tf 5.243 0 Td [(\000)]TJ/F22 5.8022 Tf 7.567 3.95 Td [(T)]TJ/F179 9.5641 Tf 5.861 -3.95 Td [(C)]TJ 11.657 1.676 Td [(O)]TJ/F183 9.2055 Tf -2.072 -1.676 Td [(\003)]TJ/F179 9.5641 Tf 9.453 0 Td [(C)]TJ/F40 8.2889 Tf 9.586 0 Td [(A)]TJ/F22 5.8022 Tf 5.031 3.95 Td [(T)]TJ/F40 5.8022 Tf 0 -6.523 Td [(c)]TJ/F40 8.2889 Tf 3.736 2.573 Td [(YA)]TJ/F40 5.8022 Tf 9.747 -1.435 Td [(c)]TJ/F179 9.5641 Tf 5.644 1.435 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)]TJ/F179 9.5641 Tf -198.48 -12.537 Td [(\000)]TJ/F22 8.2889 Tf 9.054 0 Td [(2)]TJ/F183 9.5641 Tf 4.799 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(4)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(4)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)]TJ/F179 9.5641 Tf 5.692 0 Td [(\000)]TJ/F183 9.5641 Tf 9.586 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F183 9.5641 Tf 3.857 2.573 Td [(/)]TJ/F179 9.5641 Tf -176.536 -12.538 Td [(\000)]TJ/F40 8.2889 Tf 9.054 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(8)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(8)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F22 8.2889 Tf 9.585 0 Td [(2)]TJ/F40 8.2889 Tf 4.799 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(9)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(4)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.522 Td [(9)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.434 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(7)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.434 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.434 Td [(1)]TJ/F40 8.2889 Tf 3.857 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(7)]TJ/F183 9.5641 Tf 3.858 2.572 Td [(/)]TJ/F179 9.5641 Tf -175.277 -12.537 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.434 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(8)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(9)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.434 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.434 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(8)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(9)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.34 0 Td [(0)-4925(\05022\051)]TJ ET 1 0 0 1 42.52 95.928 cm 0 g 0 G 0 g 0 G 1 0 0 1 -42.52 -95.928 cm BT /F179 9.5641 Tf 44.95 79.649 Td [(O)]TJ/F183 9.2055 Tf -2.43 -1.677 Td [(\004)]TJ/F22 5.8022 Tf 7.033 -1.434 Td [(2)]TJ/F179 9.5641 Tf 8.839 1.434 Td [(D)]TJ/F183 9.2055 Tf 12.441 0 Td [(\000)]TJ/F40 8.2889 Tf 7.567 0 Td [(P)]TJ/F183 9.2055 Tf 5.242 0 Td [(\007)]TJ/F22 5.8022 Tf 7.742 3.95 Td [(T)]TJ/F179 9.5641 Tf 5.861 -3.95 Td [(C)]TJ/F183 9.2055 Tf 9.586 0 Td [(\007)]TJ/F40 8.2889 Tf 7.741 0 Td [(P)]TJ/F183 9.2055 Tf 5.243 0 Td [(\000)]TJ/F22 5.8022 Tf 7.567 3.95 Td [(T)]TJ/F179 9.5641 Tf 5.861 -3.95 Td [(C)]TJ 11.657 1.677 Td [(O)]TJ/F183 9.2055 Tf -2.072 -1.677 Td [(\003)]TJ/F179 9.5641 Tf 9.453 0 Td [(C)]TJ/F40 8.2889 Tf 9.586 0 Td [(A)]TJ/F22 5.8022 Tf 5.031 3.95 Td [(T)]TJ/F40 5.8022 Tf 0 -6.522 Td [(c)]TJ/F40 8.2889 Tf 3.736 2.572 Td [(YA)]TJ/F40 5.8022 Tf 9.747 -1.434 Td [(c)]TJ/F179 9.5641 Tf 5.644 1.434 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.434 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(3)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(.)]TJ/F40 8.2889 Tf 3.568 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.522 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.572 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.522 Td [(3)]TJ/F183 9.5641 Tf 3.858 2.572 Td [(/)]TJ/F179 9.5641 Tf -198.48 -12.537 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(2)]TJ/F179 9.5641 Tf 5.983 1.434 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.434 Td [(4)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.434 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.434 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(4)]TJ/F183 9.5641 Tf 3.857 2.573 Td [(/)]TJ/F179 9.5641 Tf 5.693 0 Td [(\000)]TJ/F22 8.2889 Tf 9.585 0 Td [(2)]TJ/F183 9.5641 Tf 4.8 0 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(3)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.)]TJ/F40 8.2889 Tf 3.567 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(3)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(2)]TJ/F183 9.5641 Tf 3.857 2.573 Td [(/)]TJ/F179 9.5641 Tf -176.536 -12.537 Td [(\000)]TJ/F22 8.2889 Tf 9.054 0 Td [(2)]TJ/F40 8.2889 Tf 4.799 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(8)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(4)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(8)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(9)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(4)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(9)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F183 9.5641 Tf 9.585 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.858 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.586 0 Td [(e)]TJ/F22 5.8022 Tf 3.978 -1.435 Td [(7)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.567 0 Td [(R)]TJ/F22 5.8022 Tf 4.866 -1.435 Td [(1)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.435 Td [(1)]TJ/F40 8.2889 Tf 3.857 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(7)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)]TJ/F179 9.5641 Tf -175.277 -12.537 Td [(\000)]TJ/F183 9.5641 Tf 9.054 0 Td [(.\034)]TJ/F22 5.8022 Tf 7.708 -1.435 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(1)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(8)]TJ/F179 9.5641 Tf 5.983 1.435 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 -1.435 Td [(9)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(/)]TJ/F40 8.2889 Tf 3.568 0 Td [(R)]TJ/F22 5.8022 Tf 4.865 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(.\034)]TJ/F22 5.8022 Tf 7.709 -1.435 Td [(12)]TJ/F40 8.2889 Tf 7.217 1.435 Td [(e)]TJ/F22 5.8022 Tf 3.978 3.95 Td [(T)]TJ 0 -6.523 Td [(1)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(8)]TJ/F179 9.5641 Tf 5.983 2.573 Td [(\000)]TJ/F40 8.2889 Tf 9.585 0 Td [(e)]TJ/F22 5.8022 Tf 3.979 3.95 Td [(T)]TJ 0 -6.523 Td [(9)]TJ/F183 9.5641 Tf 3.858 2.573 Td [(/)-278(<)]TJ/F22 8.2889 Tf 16.34 0 Td [(0)-4925(\05023\051)]TJ ET 1 0 0 1 42.52 40.361 cm 0 g 0 G 0 g 0 G 1 0 0 1 260.025 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 8.966 690.411 cm 0 g 0 G 1 0 0 1 -311.511 -730.772 cm BT /F153 6.6311 Tf 311.511 722.204 Td [(Table)-250(1)]TJ/F22 6.6311 Tf 0 -8.568 Td [(MUBDs)-250(with)-250(given)]TJ/F183 7.6513 Tf 58.493 0 Td [(\034)]TJ/F22 4.6417 Tf 3.313 -1.148 Td [(1)]TJ/F22 6.6311 Tf 4.843 1.148 Td [(for)-250(different)]TJ/F183 7.6513 Tf 38.54 0 Td [(\026)]TJ/F22 6.6311 Tf 6.906 0 Td [(for)]TJ ET 1 0 0 1 433.951 713.636 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -433.951 -713.636 cm BT /F22 6.6311 Tf 433.951 713.636 Td [(Example)-250(8)]TJ ET 1 0 0 1 465.886 713.636 cm 0 g 0 G 1 0 0 1 -465.886 -713.636 cm BT /F22 6.6311 Tf 465.886 713.636 Td [(.)]TJ ET 1 0 0 1 311.511 699.625 cm .95 g .95 G .95 g .95 G q 1 0 0 1 0 -6.249 cm 0 0 251.059 16.323 re f Q .95 g .95 G 0 g 0 G q 1 0 0 1 0 9.875 cm []0 d 0 J 0.398 w 0 0 m 251.059 0 l S Q 1 0 0 1 -311.511 -699.625 cm BT /F183 7.6513 Tf 317.489 700.713 Td [(\034)]TJ/F22 4.6417 Tf 3.313 -1.148 Td [(1)]TJ/F22 6.6311 Tf 37.931 1.148 Td [(Methods)]TJ/F183 7.6513 Tf 63.678 0 Td [(\026)]TJ/F179 7.6513 Tf 7.374 0 Td [(D)]TJ/F22 6.6311 Tf 8.093 0 Td [(0)]TJ/F183 7.6513 Tf 3.839 0 Td [(:)]TJ/F22 6.6311 Tf 2.104 0 Td [(3)]TJ/F183 7.6513 Tf 35.171 0 Td [(\026)]TJ/F179 7.6513 Tf 7.374 0 Td [(D)]TJ/F22 6.6311 Tf 8.093 0 Td [(0)]TJ/F183 7.6513 Tf 3.84 0 Td [(:)]TJ/F22 6.6311 Tf 2.104 0 Td [(5)]TJ/F183 7.6513 Tf 31.185 0 Td [(\026)]TJ/F179 7.6513 Tf 7.374 0 Td [(D)]TJ/F22 6.6311 Tf 8.093 0 Td [(0)]TJ/F183 7.6513 Tf 3.84 0 Td [(:)]TJ/F22 6.6311 Tf 2.104 0 Td [(9)]TJ ET q 1 0 0 1 311.511 696.947 cm []0 d 0 J 0.398 w 0 0 m 251.059 0 l S Q 1 0 0 1 562.57 699.625 cm 0 g 0 G 0 g 0 G 1 0 0 1 -251.059 -73.646 cm .95 g .95 G .95 g .95 G q 1 0 0 1 0 -64.568 cm 0 0 251.059 131.965 re f Q .95 g .95 G 0 g 0 G 1 0 0 1 -311.511 -625.979 cm BT /F22 6.6311 Tf 317.489 687.379 Td [(2)]TJ ET 1 0 0 1 358.733 687.379 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -687.379 cm BT /F22 6.6311 Tf 358.733 687.379 Td [(Shao)]TJ ET 1 0 0 1 373.434 687.379 cm 0 g 0 G 1 0 0 1 1.658 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -375.092 -687.379 cm BT /F22 6.6311 Tf 375.091 687.379 Td [(\050)]TJ ET 1 0 0 1 377.545 687.379 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -377.545 -687.379 cm BT /F22 6.6311 Tf 377.545 687.379 Td [(2009)]TJ ET 1 0 0 1 392.903 687.379 cm 0 g 0 G 1 0 0 1 -392.903 -687.379 cm BT /F22 6.6311 Tf 392.903 687.379 Td [(\051)-4081(2.6972)-5403(2.5048)-4801(2.5048)]TJ ET 1 0 0 1 358.733 678.811 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -678.811 cm BT /F22 6.6311 Tf 358.733 678.811 Td [(Corollary)-250(4)]TJ ET 1 0 0 1 392.213 678.811 cm 0 g 0 G 1 0 0 1 -392.213 -678.811 cm BT /F22 6.6311 Tf 422.411 678.811 Td [(2.9157)-5403(2.5048)-4801(2.5048)]TJ ET 1 0 0 1 358.733 670.243 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -670.243 cm BT /F22 6.6311 Tf 358.733 670.243 Td [(Theorem)-250(2)]TJ ET 1 0 0 1 391.55 670.243 cm 0 g 0 G 1 0 0 1 -391.55 -670.243 cm BT /F22 6.6311 Tf 422.411 670.243 Td [(3.0129)-5403(2.5663)-4801(2.5663)]TJ -104.922 -17.554 Td [(3)]TJ ET 1 0 0 1 358.733 652.689 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -652.689 cm BT /F22 6.6311 Tf 358.733 652.689 Td [(Shao)]TJ ET 1 0 0 1 373.434 652.689 cm 0 g 0 G 1 0 0 1 1.658 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -375.092 -652.689 cm BT /F22 6.6311 Tf 375.091 652.689 Td [(\050)]TJ ET 1 0 0 1 377.545 652.689 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -377.545 -652.689 cm BT /F22 6.6311 Tf 377.545 652.689 Td [(2009)]TJ ET 1 0 0 1 392.903 652.689 cm 0 g 0 G 1 0 0 1 -392.903 -652.689 cm BT /F22 6.6311 Tf 392.903 652.689 Td [(\051)-4081(3.2591)-5403(3.2591)-4801(3.2591)]TJ ET 1 0 0 1 358.733 644.121 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -644.121 cm BT /F22 6.6311 Tf 358.733 644.121 Td [(Corollary)-250(4)]TJ ET 1 0 0 1 392.213 644.121 cm 0 g 0 G 1 0 0 1 -392.213 -644.121 cm BT /F22 6.6311 Tf 422.411 644.121 Td [(3.2591)-5403(3.2591)-4801(3.2591)]TJ ET 1 0 0 1 358.733 635.553 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -635.553 cm BT /F22 6.6311 Tf 358.733 635.553 Td [(Theorem)-250(2)]TJ ET 1 0 0 1 391.55 635.553 cm 0 g 0 G 1 0 0 1 -391.55 -635.553 cm BT /F22 6.6311 Tf 422.411 635.553 Td [(3.3408)-5403(3.3408)-4801(3.3408)]TJ -104.922 -17.554 Td [(4)]TJ ET 1 0 0 1 358.733 617.999 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -617.999 cm BT /F22 6.6311 Tf 358.733 617.999 Td [(Shao)]TJ ET 1 0 0 1 373.434 617.999 cm 0 g 0 G 1 0 0 1 1.658 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -375.092 -617.999 cm BT /F22 6.6311 Tf 375.091 617.999 Td [(\050)]TJ ET 1 0 0 1 377.545 617.999 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -377.545 -617.999 cm BT /F22 6.6311 Tf 377.545 617.999 Td [(2009)]TJ ET 1 0 0 1 392.903 617.999 cm 0 g 0 G 1 0 0 1 -392.903 -617.999 cm BT /F22 6.6311 Tf 392.903 617.999 Td [(\051)-4081(4.0744)-5403(4.0744)-4801(4.0744)]TJ ET 1 0 0 1 358.733 609.431 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -609.431 cm BT /F22 6.6311 Tf 358.733 609.431 Td [(Corollary)-250(4)]TJ ET 1 0 0 1 392.213 609.431 cm 0 g 0 G 1 0 0 1 -392.213 -609.431 cm BT /F22 6.6311 Tf 422.411 609.431 Td [(4.0744)-5403(4.0744)-4801(4.0744)]TJ ET 1 0 0 1 358.733 600.863 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -600.863 cm BT /F22 6.6311 Tf 358.733 600.863 Td [(Theorem)-250(2)]TJ ET 1 0 0 1 391.55 600.863 cm 0 g 0 G 1 0 0 1 -391.55 -600.863 cm BT /F22 6.6311 Tf 422.411 600.863 Td [(4.1690)-5403(4.1690)-4801(4.1690)]TJ -104.922 -17.554 Td [(5)]TJ ET 1 0 0 1 358.733 583.309 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -583.309 cm BT /F22 6.6311 Tf 358.733 583.309 Td [(Shao)]TJ ET 1 0 0 1 373.434 583.309 cm 0 g 0 G 1 0 0 1 1.658 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -375.092 -583.309 cm BT /F22 6.6311 Tf 375.091 583.309 Td [(\050)]TJ ET 1 0 0 1 377.545 583.309 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -377.545 -583.309 cm BT /F22 6.6311 Tf 377.545 583.309 Td [(2009)]TJ ET 1 0 0 1 392.903 583.309 cm 0 g 0 G 1 0 0 1 -392.903 -583.309 cm BT /F22 6.6311 Tf 392.903 583.309 Td [(\051)-4081(\025)-7954(\025)-7352(\025)]TJ ET 1 0 0 1 358.733 574.741 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -574.741 cm BT /F22 6.6311 Tf 358.733 574.741 Td [(Corollary)-250(4)]TJ ET 1 0 0 1 392.213 574.741 cm 0 g 0 G 1 0 0 1 -392.213 -574.741 cm BT /F22 6.6311 Tf 422.411 574.741 Td [(\025)-7954(\025)-7352(\025)]TJ ET 1 0 0 1 358.733 566.174 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -358.733 -566.174 cm BT /F22 6.6311 Tf 358.733 566.174 Td [(Theorem)-250(2)]TJ ET 1 0 0 1 391.55 566.174 cm 0 g 0 G 1 0 0 1 -391.55 -566.174 cm BT /F22 6.6311 Tf 422.411 566.174 Td [(5.0275)-5403(5.0275)-4801(5.0275)]TJ ET q 1 0 0 1 311.511 561.411 cm []0 d 0 J 0.398 w 0 0 m 251.059 0 l S Q 1 0 0 1 311.511 561.411 cm 1 g 1 G 1 g 1 G 1 g 1 G 0 g 0 G 0 g 0 G 0 g 0 G 1 0 0 1 251.059 64.568 cm 0 g 0 G 0 g 0 G 1 0 0 1 -251.059 -64.568 cm 0 g 0 G 1 0 0 1 0 -10.353 cm 0 g 0 G 1 0 0 1 -311.511 -551.058 cm BT /F153 6.6311 Tf 311.511 542.49 Td [(Table)-250(2)]TJ/F22 6.6311 Tf 0 -8.567 Td [(MUBDs)-250(for)-250(various)]TJ/F183 7.6513 Tf 58.758 0 Td [(\034)]TJ/F22 4.6417 Tf 3.313 -1.148 Td [(1)]TJ/F22 6.6311 Tf 4.843 1.148 Td [(and)-250(unknown)]TJ/F183 7.6513 Tf 43.898 0 Td [(\026)]TJ/F22 6.6311 Tf 6.906 0 Td [(for)]TJ ET 1 0 0 1 439.574 533.923 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -439.574 -533.923 cm BT /F22 6.6311 Tf 439.574 533.923 Td [(Example)-250(8)]TJ ET 1 0 0 1 471.509 533.923 cm 0 g 0 G 1 0 0 1 -471.509 -533.923 cm BT /F22 6.6311 Tf 471.509 533.923 Td [(.)]TJ ET 1 0 0 1 311.511 519.912 cm .95 g .95 G .95 g .95 G q 1 0 0 1 0 -6.249 cm 0 0 251.059 16.323 re f Q .95 g .95 G 0 g 0 G q 1 0 0 1 0 9.875 cm []0 d 0 J 0.398 w 0 0 m 251.059 0 l S Q 1 0 0 1 -311.511 -519.912 cm BT /F22 6.6311 Tf 317.489 521 Td [(Methods)]TJ/F183 7.6513 Tf 52.572 0 Td [(\034)]TJ/F22 4.6417 Tf 3.313 -1.148 Td [(1)]TJ/F22 6.6311 Tf 26.826 1.148 Td [(2)-6239(3)-6239(4)-6240(5)]TJ ET q 1 0 0 1 311.511 517.234 cm []0 d 0 J 0.398 w 0 0 m 251.059 0 l S Q 1 0 0 1 562.57 519.912 cm 0 g 0 G 0 g 0 G 1 0 0 1 -251.059 -17.327 cm .95 g .95 G .95 g .95 G q 1 0 0 1 0 -9.365 cm 0 0 251.059 20.443 re f Q .95 g .95 G 0 g 0 G 1 0 0 1 5.978 5.081 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -317.489 -507.666 cm BT /F22 6.6311 Tf 317.489 507.666 Td [(Shao)]TJ ET 1 0 0 1 332.19 507.666 cm 0 g 0 G 1 0 0 1 1.657 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -333.847 -507.666 cm BT /F22 6.6311 Tf 333.847 507.666 Td [(\050)]TJ ET 1 0 0 1 336.301 507.666 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -336.301 -507.666 cm BT /F22 6.6311 Tf 336.301 507.666 Td [(2009)]TJ ET 1 0 0 1 351.658 507.666 cm 0 g 0 G 1 0 0 1 -351.658 -507.666 cm BT /F22 6.6311 Tf 351.658 507.666 Td [(\051)]TJ/F183 7.6513 Tf 18.403 0 Td [(\034)]TJ/F22 4.6417 Tf 3.313 -1.148 Td [(2)]TJ/F22 6.6311 Tf 26.826 1.148 Td [(2.5048)-3688(3.2591)-3688(4.0744)-3689(\025)]TJ ET 1 0 0 1 317.489 499.098 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -317.489 -499.098 cm BT /F22 6.6311 Tf 317.489 499.098 Td [(Corollary)-250(7)]TJ ET 1 0 0 1 350.969 499.098 cm 0 g 0 G 1 0 0 1 -350.969 -499.098 cm BT /F183 7.6513 Tf 370.061 499.098 Td [(\034)]TJ/F22 4.6417 Tf 3.313 -1.148 Td [(2)]TJ/F22 6.6311 Tf 26.826 1.148 Td [(2.5663)-3688(3.3408)-3688(4.1690)-3689(5.0275)]TJ ET q 1 0 0 1 311.511 494.336 cm []0 d 0 J 0.398 w 0 0 m 251.059 0 l S Q 1 0 0 1 311.511 493.22 cm 1 g 1 G 1 g 1 G 1 g 1 G 0 g 0 G 0 g 0 G 0 g 0 G 1 0 0 1 251.059 9.365 cm 0 g 0 G 0 g 0 G 1 0 0 1 -251.059 -9.365 cm 0 g 0 G 1 0 0 1 -311.511 -493.22 cm BT /F40 8.2889 Tf 311.511 472.904 Td [(where)]TJ/F183 9.2055 Tf 24.302 0 Td [(\000)]TJ/F40 8.2889 Tf 7.567 0 Td [(,)]TJ/F183 9.2055 Tf 3.579 0 Td [(\007)]TJ/F40 8.2889 Tf 7.742 0 Td [(,)-205(Y)-343(and)-205(A)]TJ/F40 5.8022 Tf 31.689 -1.435 Td [(c)]TJ/F40 8.2889 Tf 5.216 1.435 Td [(are)-205(the)-205(same)-205(as)-204(those)-205(defined)-205(in)]TJ ET 1 0 0 1 506.879 472.904 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -506.879 -472.904 cm BT /F40 8.2889 Tf 506.879 472.904 Td [(Theorem)]TJ/F22 8.2889 Tf 33.494 0 Td [(2)]TJ ET 1 0 0 1 545.172 472.904 cm 0 g 0 G 1 0 0 1 -545.172 -472.904 cm BT /F40 8.2889 Tf 545.172 472.904 Td [(,)-205(and)]TJ ET 1 0 0 1 311.511 472.904 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -472.904 cm BT /F179 9.5641 Tf 313.582 462.992 Td [(O)]TJ/F183 9.2055 Tf -2.071 -1.676 Td [(\003)]TJ/F179 9.5641 Tf 9.984 0 Td [(D)]TJ/F22 8.2889 Tf 10.117 0 Td [(diag)]TJ/F179 9.5641 Tf 16.205 0 Td [(f)]TJ/F40 8.2889 Tf 3.538 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 4.557 1.435 Td [(C)]TJ/F183 9.5641 Tf 8.159 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.52 Td [(2)]TJ -1.148 -6.213 Td [(1)]TJ/F40 8.2889 Tf 5.006 2.693 Td [(Z)]TJ/F22 5.8022 Tf 4.376 -1.435 Td [(3)]TJ/F179 9.5641 Tf 4.557 1.435 Td [(C)]TJ/F183 9.5641 Tf 8.159 0 Td [(\034)]TJ/F22 5.8022 Tf 5.289 3.52 Td [(2)]TJ -1.148 -6.213 Td [(12)]TJ/F40 8.2889 Tf 7.217 2.693 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.435 Td [(4)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(;)]TJ/F22 8.2889 Tf 6.368 0 Td [(0)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F179 9.5641 Tf 7.068 0 Td [(\000)]TJ/F40 8.2889 Tf 8.159 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(1)]TJ/F179 9.5641 Tf 4.557 1.435 Td [(C)]TJ/F40 8.2889 Tf 8.159 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(;)]TJ/F179 9.5641 Tf 4.759 0 Td [(\000)]TJ/F40 8.2889 Tf 7.46 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(2)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(;)]TJ/F179 9.5641 Tf 7.068 0 Td [(\000)]TJ/F40 8.2889 Tf 8.159 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(4)]TJ/F179 9.5641 Tf 4.557 1.435 Td [(C)]TJ/F40 8.2889 Tf 8.159 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(5)]TJ/F183 9.5641 Tf 3.857 1.435 Td [(;)]TJ/F179 9.5641 Tf 7.068 0 Td [(\000)]TJ/F40 8.2889 Tf 8.159 0 Td [(Q)]TJ/F22 5.8022 Tf 5.653 -1.435 Td [(5)]TJ/F183 9.5641 Tf 3.858 1.435 Td [(;)]TJ ET 1 0 0 1 311.511 461.316 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -461.316 cm BT /F179 9.5641 Tf 311.511 450.882 Td [(\000)]TJ/F40 8.2889 Tf 7.46 0 Td [(Z)]TJ/F22 5.8022 Tf 4.377 -1.434 Td [(3)]TJ/F183 9.5641 Tf 3.857 1.434 Td [(;)]TJ/F22 8.2889 Tf 6.832 0 Td [(0)]TJ/F183 9.5641 Tf 4.799 0 Td [(;)]TJ/F22 8.2889 Tf 6.832 0 Td [(0)]TJ/F179 9.5641 Tf 4.799 0 Td [(g)]TJ/F40 8.2889 Tf 3.539 0 Td [(.)]TJ ET 1 0 0 1 311.511 450.882 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -450.882 cm BT /F153 8.2889 Tf 311.511 427.82 Td [(3.)-500(Numerical)-250(examples)]TJ ET 1 0 0 1 311.511 427.82 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -427.82 cm BT /F22 8.2889 Tf 323.466 406.993 Td [(In)-492(this)-492(section,)-492(two)-491(numerical)-492(examples)-492(are)-492(given)-492(to)-491(show)]TJ ET 1 0 0 1 311.511 406.993 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -406.993 cm BT /F22 8.2889 Tf 311.511 396.559 Td [(that)-312(results)-311(proposed)-312(in)-311(this)-312(paper)-311(are)-312(less)-311(conservative)-312(than)-312(the)]TJ ET 1 0 0 1 311.511 396.559 cm 0 g 0 G 0 g 0 G 1 0 0 1 -311.511 -396.559 cm BT /F22 8.2889 Tf 311.511 386.125 Td [(existing)-250(ones.)]TJ ET 1 0 0 1 311.511 386.125 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -20.462 cm 0 g 0 G 1 0 0 1 -307.526 -365.663 cm BT /F153 8.2889 Tf 311.511 365.663 Td [(Example)-250(8.)]TJ ET 1 0 0 1 355.135 365.663 cm 0 g 0 G 1 0 0 1 -355.135 -365.663 cm BT /F22 8.2889 Tf 359.12 365.663 Td [(Consider)-300(the)-301(following)-300(system)-301(\050)]TJ ET 1 0 0 1 481.521 365.663 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -481.521 -365.663 cm BT /F22 8.2889 Tf 481.521 365.663 Td [(He)]TJ ET 1 0 0 1 492.064 365.663 cm 0 g 0 G 1 0 0 1 2.491 0 cm 0 0 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[(to)-207(be)-207(less)-207(conservative)-207(than)-207(the)-207(existing)-207(ones.)-208(Numerical)-207(examples)]TJ ET 1 0 0 1 32.706 555.837 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -555.837 cm BT /F22 8.2889 Tf 32.706 545.376 Td [(have)-453(been)-454(given)-453(to)-453(illustrate)-453(the)-454(effectiveness)-453(of)-453(the)-454(proposed)]TJ ET 1 0 0 1 32.706 545.376 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -545.376 cm BT /F22 8.2889 Tf 32.706 534.915 Td [(method.)]TJ ET 1 0 0 1 32.706 534.915 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -534.915 cm BT /F153 8.2889 Tf 32.706 509.511 Td [(References)]TJ ET 1 0 0 1 32.706 509.511 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -19.926 cm 0 g 0 G 0 g 0 G 1 0 0 1 -28.721 -489.585 cm BT /F22 6.6311 Tf 32.706 489.585 Td [(Ariba,)-496(Y.,)-496(&)-495(Gouaisbaut,)-496(F.)-496(\0502007\051.)-495(Delay-dependent)-496(stability)-496(analysis)-495(of)-496(linear)]TJ ET 1 0 0 1 32.706 489.585 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -489.585 cm BT /F22 6.6311 Tf 44.661 481.615 Td [(systems)-334(with)-333(time-varying)-334(delay.)-334(In)]TJ/F40 6.6311 Tf 111.567 0 Td [(Proceedings)-334(of)-333(the)-334(46th)-334(IEEE)-333(conference)-334(on)]TJ ET 1 0 0 1 32.706 481.615 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -481.615 cm BT /F40 6.6311 Tf 44.661 473.645 Td [(decision)-250(and)-250(control)]TJ/F22 6.6311 Tf 60.429 0 Td [(\050pp.)-250(2053\0252058\051)-250(New)-250(Orleans,)-250(USA.)]TJ ET 1 0 0 1 32.706 473.645 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -28.721 -465.675 cm BT /F22 6.6311 Tf 32.706 465.675 Td [(Fridman,)-554(E.,)-554(&)-554(Shaked,)-554(U.)-554(\0502003\051.)-554(Delay-dependent)-554(stability)-553(and)]TJ/F40 6.6311 Tf 212.455 0 Td [(H)]TJ/F179 5.3558 Tf 4.741 -1.148 Td [(1)]TJ/F22 6.6311 Tf 9.639 1.148 Td [(control:)]TJ ET 1 0 0 1 32.706 465.675 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -465.675 cm BT /F22 6.6311 Tf 44.661 457.705 Td [(Constant)-250(and)-250(time-varying)-250(delays.)]TJ/F40 6.6311 Tf 105.965 0 Td [(International)-250(Journal)-250(of)-250(Control)]TJ/F22 6.6311 Tf 91.495 0 Td [(,)]TJ/F40 6.6311 Tf 3.209 0 Td [(76)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)-250(48\02560.)]TJ ET 1 0 0 1 32.706 457.705 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -28.721 -449.735 cm BT /F22 6.6311 Tf 32.706 449.735 Td [(Gao,)-272(H.,)-272(&)-271(Wang,)-272(C.)-272(\0502003\051.)-272(Comments)-271(and)-272(further)-272(results)-272(on)-271(``A)-272(descriptor)-272(system)]TJ ET 1 0 0 1 32.706 449.735 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -449.735 cm BT /F22 6.6311 Tf 44.661 441.765 Td [(approach)-431(to)]TJ/F40 6.6311 Tf 40.419 0 Td [(H)]TJ/F179 5.3558 Tf 4.741 -1.148 Td [(1)]TJ/F22 6.6311 Tf 8.822 1.148 Td [(control)-431(of)-430(linear)-431(time-delay)-431(systems''.)]TJ/F40 6.6311 Tf 122.351 0 Td [(IEEE)-430(Transactions)-431(on)]TJ ET 1 0 0 1 32.706 441.765 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -441.765 cm BT /F40 6.6311 Tf 44.661 433.794 Td [(Automatic)-250(Control)]TJ/F22 6.6311 Tf 53.413 0 Td [(,)]TJ/F40 6.6311 Tf 3.21 0 Td [(48)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)-250(520\025525.)]TJ ET 1 0 0 1 32.706 433.794 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -28.721 -425.824 cm BT /F22 6.6311 Tf 32.706 425.824 Td [(Gu,)-256(K.)-256(\0502000\051.)-255(Integral)-256(inequality)-256(in)-255(the)-256(stability)-256(problem)-256(of)-255(time-delay)-256(systems.)-256(In)]TJ ET 1 0 0 1 32.706 425.824 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -425.824 cm BT /F40 6.6311 Tf 44.661 417.854 Td [(Proceedings)-280(of)-281(the)-280(39th)-280(IEEE)-280(conference)-281(on)-280(decision)-280(and)-280(control)]TJ/F22 6.6311 Tf 188.301 0 Td [(\050pp.)-280(2805\0252810\051)]TJ ET 1 0 0 1 32.706 417.854 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -417.854 cm BT /F22 6.6311 Tf 44.661 409.884 Td [(Sydney,)-250(Australia.)]TJ ET 1 0 0 1 32.706 409.884 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -28.721 -401.914 cm BT /F22 6.6311 Tf 32.706 401.914 Td [(Gu,)-335(K.,)-335(Kharitonov,)-335(V.-L.,)-335(&)-334(Chen,)-335(J.)-335(\0502003\051.)]TJ/F40 6.6311 Tf 133.217 0 Td [(Stability)-335(of)-335(time-delay)-334(systems)]TJ/F22 6.6311 Tf 90.755 0 Td [(.)-335(Boston:)]TJ ET 1 0 0 1 32.706 401.914 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -401.914 cm BT /F22 6.6311 Tf 44.661 393.944 Td [(Brikhauser.)]TJ ET 1 0 0 1 32.706 393.944 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -28.721 -385.974 cm BT /F22 6.6311 Tf 32.706 385.974 Td [(Hale,)-175(J.-K.,)-174(&)-175(Verduyn)-174(Lunel,)-175(S.-M.)-175(\0501993\051.)]TJ/F40 6.6311 Tf 123.744 0 Td [(Applied)-175(mathematica)1(l)-175(sciences)]TJ/F22 6.6311 Tf 88.147 0 Td [(,)]TJ/F40 6.6311 Tf 2.71 0 Td [(Introduction)]TJ ET 1 0 0 1 32.706 385.974 cm 0 g 0 G 0 g 0 G 1 0 0 1 -32.706 -385.974 cm BT /F40 6.6311 Tf 44.661 378.004 Td [(to)-250(functional)-250(differential)-250(equations)]TJ/F22 6.6311 Tf 100.872 0 Td [(.)-250(New)-250(York:)-250(Springer\025Verlag.)]TJ ET 1 0 0 1 292.731 40.361 cm 0 g 0 G 0 g 0 G 1 0 0 1 4.981 680.448 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -720.809 cm BT /F22 6.6311 Tf 301.697 720.809 Td [(Han,)-486(Q.-L.)-486(\0502004a\051.)-486(A)-485(descriptor)-486(system)-486(approach)-486(to)-486(robust)-485(stability)-486(of)-486(uncer-)]TJ ET 1 0 0 1 301.697 720.809 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -720.809 cm BT /F22 6.6311 Tf 313.653 712.839 Td [(tain)-530(neutral)-531(systems)-530(with)-530(discrete)-530(and)-531(distributed)-530(delays.)]TJ/F40 6.6311 Tf 191.382 0 Td [(Automatica)]TJ/F22 6.6311 Tf 33.765 0 Td [(,)]TJ/F40 6.6311 Tf 5.07 0 Td [(40)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)]TJ ET 1 0 0 1 301.697 712.839 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -712.839 cm BT /F22 6.6311 Tf 313.653 704.869 Td [(1791\0251796.)]TJ ET 1 0 0 1 301.697 704.869 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -696.899 cm BT /F22 6.6311 Tf 301.697 696.899 Td [(Han,)-183(Q.-L.)-184(\0502004b\051.)-183(On)-184(robust)-183(stability)-183(of)-184(neutral)-183(systems)-183(with)-184(time-varying)-183(discrete)]TJ ET 1 0 0 1 301.697 696.899 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -696.899 cm BT /F22 6.6311 Tf 313.653 688.929 Td [(delay)-250(and)-250(norm-bounded)-250(uncertainty.)]TJ/F40 6.6311 Tf 117.833 0 Td [(Automatica)]TJ/F22 6.6311 Tf 33.766 0 Td [(,)]TJ/F40 6.6311 Tf 3.209 0 Td [(40)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)-250(1087\0251092.)]TJ ET 1 0 0 1 301.697 688.929 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.971 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -680.958 cm BT /F22 6.6311 Tf 301.697 680.958 Td [(Haoussi,)-168(F.)-169(E.,)-168(&)-168(Tissir,)-168(E.)-169(H.)-168(\0502009\051.)-168(Robust)]TJ/F40 6.6311 Tf 124.612 0 Td [(H)]TJ/F179 5.3558 Tf 4.741 -1.147 Td [(1)]TJ/F22 6.6311 Tf 7.082 1.147 Td [(controller)-168(design)-168(for)-169(uncertain)-168(neutral)]TJ ET 1 0 0 1 301.697 680.958 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -680.958 cm BT /F22 6.6311 Tf 313.653 672.988 Td [(systems)-342(via)-343(dynamic)-342(observer)-342(based)-343(output)-342(feedback.)]TJ/F40 6.6311 Tf 169.565 0 Td [(International)-342(Journal)-343(of)]TJ ET 1 0 0 1 301.697 672.988 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -672.988 cm BT /F40 6.6311 Tf 313.653 665.018 Td [(Automation)-250(and)-250(Computing)]TJ/F22 6.6311 Tf 81.671 0 Td [(,)]TJ/F40 6.6311 Tf 3.209 0 Td [(6)]TJ/F22 6.6311 Tf 3.667 0 Td [(,)-250(164\025170.)]TJ ET 1 0 0 1 301.697 665.018 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -657.048 cm BT /F22 6.6311 Tf 301.697 657.048 Td [(He,)-293(Y.,)-294(Wang,)-293(Q.-G.,)-294(Lin,)-293(C.,)-293(&)-294(Wu,)-293(M.)-294(\0502005\051.)-293(Augmented)-293(Lyapunov)-294(functional)-293(and)]TJ ET 1 0 0 1 301.697 657.048 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -657.048 cm BT /F22 6.6311 Tf 313.653 649.078 Td [(delay-dependent)-346(stability)-345(criteria)-346(for)-346(neutral)-346(systems.)]TJ/F40 6.6311 Tf 169.52 0 Td [(International)-346(Journal)-345(of)]TJ ET 1 0 0 1 301.697 649.078 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -649.078 cm BT /F40 6.6311 Tf 313.653 641.108 Td [(Robust)-250(and)-250(Nonlinear)-250(Control)]TJ/F22 6.6311 Tf 86.369 0 Td [(,)]TJ/F40 6.6311 Tf 3.209 0 Td [(15)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)-250(923\025933.)]TJ ET 1 0 0 1 301.697 641.108 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -633.138 cm BT /F22 6.6311 Tf 301.697 633.138 Td [(He,)-384(Y.,)-384(Wang,)-383(Q.-G.,)-384(Xie,)-384(L.,)-384(&)-384(Lin,)-383(C.)-384(\0502007\051.)-384(Delay-range-dependent)-383(stability)-384(for)]TJ ET 1 0 0 1 301.697 633.138 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -633.138 cm BT /F22 6.6311 Tf 313.653 625.168 Td [(systems)-250(with)-250(time-varying)-250(delay.)]TJ/F40 6.6311 Tf 103.272 0 Td [(Automatica)]TJ/F22 6.6311 Tf 33.765 0 Td [(,)]TJ/F40 6.6311 Tf 3.209 0 Td [(43)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)-250(371\025376.)]TJ ET 1 0 0 1 301.697 625.168 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -617.198 cm BT /F22 6.6311 Tf 301.697 617.198 Td [(He,)-184(Y.,)-183(Wu,)-183(M.,)-184(She,)-183(J.-H.,)-184(&)-183(Liu,)-184(G.)-183(P.)-183(\0502004\051.)-184(Delay-dependent)-183(robust)-184(stability)-183(criteria)]TJ ET 1 0 0 1 301.697 617.198 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -617.198 cm BT /F22 6.6311 Tf 313.653 609.227 Td [(for)-274(uncertain)-274(neutral)-274(systems)-274(with)-273(mixed)-274(delays.)]TJ/F40 6.6311 Tf 151.847 0 Td [(Systems)-274(&)-274(Control)-274(Letters)]TJ/F22 6.6311 Tf 75.002 0 Td [(,)]TJ/F40 6.6311 Tf 3.368 0 Td [(51)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)]TJ ET 1 0 0 1 301.697 609.227 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -609.227 cm BT /F22 6.6311 Tf 313.653 601.257 Td [(57\02565.)]TJ ET 1 0 0 1 301.697 601.257 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -593.287 cm BT /F22 6.6311 Tf 301.697 593.287 Td [(Jiang,)-276(X.,)-275(&)-276(Han,)-276(Q.-L.)-275(\0502005\051.)-276(On)]TJ/F40 6.6311 Tf 100.034 0 Td [(H)]TJ/F179 5.3558 Tf 4.741 -1.147 Td [(1)]TJ/F22 6.6311 Tf 7.795 1.147 Td [(control)-276(for)-275(linear)-276(systems)-276(with)-275(interval)-276(time-)]TJ ET 1 0 0 1 301.697 593.287 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -593.287 cm BT /F22 6.6311 Tf 313.653 585.317 Td [(varying)-250(delay.)]TJ/F40 6.6311 Tf 44.341 0 Td [(Automatica)]TJ/F22 6.6311 Tf 33.766 0 Td [(,)]TJ/F40 6.6311 Tf 3.209 0 Td [(41)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)-250(2099\0252106.)]TJ ET 1 0 0 1 301.697 585.317 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -577.347 cm BT /F22 6.6311 Tf 301.697 577.347 Td [(Kharitonov,)-320(V.-L.,)-319(&)-320(Niculescu,)-320(S.-I.)-319(\0502003\051.)-320(On)-320(the)-319(stability)-320(of)-320(linear)-319(systems)-320(with)]TJ ET 1 0 0 1 301.697 577.347 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -577.347 cm BT /F22 6.6311 Tf 313.653 569.377 Td [(uncertain)-250(delay.)]TJ/F40 6.6311 Tf 50.661 0 Td [(IEEE)-250(Transactions)-250(on)-250(Automatic)-250(Control)]TJ/F22 6.6311 Tf 115.446 0 Td [(,)]TJ/F40 6.6311 Tf 3.21 0 Td [(48)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)-250(127\025132.)]TJ ET 1 0 0 1 301.697 569.377 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -561.407 cm BT /F22 6.6311 Tf 301.697 561.407 Td [(Lin,)-355(C.,)-355(Wang,)-355(Q.-G.,)-356(&)-355(Lee,)-355(H.)-355(\0502006\051.)-355(A)-355(less)-355(conservative)-355(robust)-355(stability)-355(test)-355(for)]TJ ET 1 0 0 1 301.697 561.407 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -561.407 cm BT /F22 6.6311 Tf 313.653 553.437 Td [(linear)-225(uncertain)-225(time-delay)-225(systems.)]TJ/F40 6.6311 Tf 112.386 0 Td [(IEEE)-225(Transactions)-225(on)-225(Automatic)-225(Control)]TJ/F22 6.6311 Tf 114.787 0 Td [(,)]TJ/F40 6.6311 Tf 3.044 0 Td [(51)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)]TJ ET 1 0 0 1 301.697 553.437 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -553.437 cm BT /F22 6.6311 Tf 313.653 545.467 Td [(87\02591.)]TJ ET 1 0 0 1 301.697 545.467 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.971 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -537.496 cm BT /F22 6.6311 Tf 301.697 537.496 Td [(Niculescu,)-209(S.-I.)-209(\0502001\051.)]TJ/F40 6.6311 Tf 68.535 0 Td [(Lecture)-209(Notes)-209(in)-208(Control)-209(and)-209(Information)-209(Sciences)]TJ/F22 6.6311 Tf 143.211 0 Td [(,)]TJ/F40 6.6311 Tf 2.936 0 Td [(Delay)-209(effects)]TJ ET 1 0 0 1 301.697 537.496 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -537.496 cm BT /F40 6.6311 Tf 313.653 529.526 Td [(on)-250(stability:)-250(A)-250(robust)-250(control)-250(approach)]TJ/F22 6.6311 Tf 112.064 0 Td [(.)-250(London:)-250(Springer\025Verlag.)]TJ ET 1 0 0 1 301.697 529.526 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -521.556 cm BT /F22 6.6311 Tf 301.697 521.556 Td [(Niculescu,)-274(S.-I.)-275(\0502001\051.)-274(On)-274(delay-dependent)-274(stability)-274(under)-275(model)-274(transformations)]TJ ET 1 0 0 1 301.697 521.556 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -521.556 cm BT /F22 6.6311 Tf 313.653 513.586 Td [(of)-250(some)-250(neutral)-250(linear)-250(systems.)]TJ/F40 6.6311 Tf 96.515 0 Td [(International)-250(Journal)-250(of)-250(Control)]TJ/F22 6.6311 Tf 91.495 0 Td [(,)]TJ/F40 6.6311 Tf 3.209 0 Td [(74)]TJ/F22 6.6311 Tf 7.334 0 Td [(,)-250(609\025617.)]TJ ET 1 0 0 1 301.697 513.586 cm 0 g 0 G 0 g 0 G 1 0 0 1 -3.985 -7.97 cm 0 g 0 G 0 g 0 G 1 0 0 1 -297.712 -505.616 cm BT /F22 6.6311 Tf 301.697 505.616 Td [(Park,)-370(P.)-369(\0501999\051.)-370(A)-369(delay-dependent)-370(stability)-370(criterion)-369(for)-370(systems)-369(with)-370(uncertain)]TJ ET 1 0 0 1 301.697 505.616 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -505.616 cm BT /F22 6.6311 Tf 313.653 497.646 Td [(time-invariant)-250(delays.)]TJ/F40 6.6311 Tf 68.81 0 Td [(IEEE)-250(Transactions)-250(on)-250(Automatic)-250(Control)]TJ/F22 6.6311 Tf 115.447 0 Td [(,)]TJ/F40 6.6311 Tf 3.209 0 Td [(44)]TJ/F22 6.6311 Tf 7.334 0 Td 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All Rights Reserved.Univers is a trademark %Copyright: of Linotype-Hell AG and/or its subsidiaries. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-uni-regular known{/t1-uni-regular findfont dup/UniqueID known{dup /UniqueID get 4172112 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /USCGMP+t1-uni-regular def /FontBBox {-168 -250 992 997 }readonly def /UniqueID 4172112 def /PaintType 0 def /FontInfo 9 dict dup begin /version (002.000) readonly def /Notice (Copyright \050c\051 1987, 1991, 1993, 1994, 1998 Adobe Systems Incorporated. All Rights Reserved.Univers is a trademark of Linotype-Hell AG and/or its subsidiaries.) readonly def /FullName (Univers 55 Roman) readonly def /FamilyName (Univers) readonly def /Weight (Regular) readonly def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 67 /C put dup 68 /D put dup 83 /S put dup 97 /a put dup 98 /b put dup 99 /c put dup 58 /colon put dup 101 /e put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 46 /period put dup 114 /r put dup 115 /s put dup 47 /slash put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put readonly def currentdict end currentfile eexec oc;jAw-ᾉYň5t&נ{hLGqB`d˗Pة|*x\ޖHtEB-gedog7Q`[['W73sZ9 m !tAY!$tY\r[uTIUiBy[Ȝŗ3Kï6zJ!˒Js&B5CV]_I50$zEL>6µ3-O"Ղ,vw ;q8Q^Epd4_PsxO^2|jp5Ժ *Vg/ T"rɵ8t~k W%3M?$ۛWuGt5o6.2|#ԧ@ rد|C1k}')˃Umt8;:?2>GSQs2 KJۋaq%3(jv'T#o映ӲXƴpi-=@ؚi YCuC 纞 Wj/: IqyMG?rKiߣg d@rQKѴ:,] n0a]b g6ˈ}R2,^3>J TŘXbM]&Q2U}o=!X3Sq m0_׬P!C IKV.]!Nu}&QR0NtX.2_%R/d^4^˞Oqq+Q c,ީ)|.'ȣ_Ȁ`( H;1A CF=V˅O׼ s' k܎W;>) aݳaXY7Z bݱϚقf/?8U7>p'p 2ÅHA"&xt՝cs-|2N}i鍜`U+2&cW\LG.51n{uD Q'qGSe9ޡ(!@m:)IΏ;ipU@>\DKCV${Kt \׫̒O̗Ӌ9 ӦL-??sp!/$OMQ':Εz)|Y<^J8\qa_\ތQ*g{@N HnHƌoE kF%'nH깻L}j~RL^lV@vOkc}-e r % ME-eKi7ӈO^+l%"s1ZZ[%)%b??ihogC!4ZuuNT!ؼUpD΅"#pQ]gCǨ}dڌ%=c^C : Tix5j[U?SSӓ]!?dN@pBn.X֚^[AOsDMqAA[ 7?Dv +rʈ7^BS R9M?^ݬ@Q8@b6X.)ՆbgݷDY i$3/̯\! Yll)RQ8xgsaU ApZB:ud*R\ ܶh ?\NIv3!=uEPڇ]Ѐſ֨켃LS/̈-J8jU^4gu7EvE鵈qU :j`-zg?ؿ<*dß-Ͽ;r`_zu{K˗F3\,3*^  }\t׳?_|L'ijGwpXku?K# $}DQ hzO\*8dqS(0c__2F+*"Q鳐JE3NDUA4 ]ֱ21 A0_"j>2qڐcIsA{h/c )Z'ďxrxtr3hͽ Pnd[cwL]#K>O96a6Rzv`+c]# -V(r/.gsIߢh O"!jmk31EvUA8q/(*cf v7GWc&2$ q C"O sy…d{ BpΡ">;Z[!*_=9Gl5GPl,xFcɗ'ZCǸs<~{.#WB#shC ӑA2x>uRi'i?1p;J&k?cV? 4cH!P, @1Št$:gLBWcئzG> (y,F6ծMnQ}IMhcpQ?Bt#ɚyZ8=ٙ/NzKȪ&!FEZTd$Vta3 pW}d{N.\Oj@km=:TnPo-s;5^- VK ˽b#7.2JJw^%\6$@)RQC䕝p*+XK^?FH582N~9VAky΢od=Jc y5[܊$PKI`Lد"Iz=( aodwF=tts(*qYrpyڡ,0z$nA6_ה˞T4KH N{rT(4AIT¯nH93"l(*"TՊz_&Hȱy]k4ԋi R7+L2v:BZ\çkiSd[*#\E鞭!C:#ɌnI$fYu\5M\_ oFMlc0Xi{wŠ%xgNJ!cEtYmě/qey9K!& eڶ]A6(2> wTlPYs.9{D˔aΝJ76ӵbVe2[,%ܘWiPB1I CL5g2c»6V]iU6*F|ID'"?W}6O;l0?j;q"k,u_ĆwD: I 2Sk3}|x$xQMS?ϋ?昝{N4_}euc<,70Gޅ8ۼL&uayΊHa#m93פi̔@NjS6!9#U*%",k/ٿ]M }x piC2ٗ6,Uc+)m w(!hAg*gU-65SHr0G ﷴ$~0`⪯MiF.!Xe0CeEcޣ%]tIt:< Q)Z`*Vs`fntmht\:0җF_:%O$uIqqb'i%>C@x{bFSOd*cZ_ 06krCV^H4 #~bs i8O|GO7:d3Au{CS?)mɴQ;%Ilø_Z/$T~߬[.9zfA3v|'a|a5 J?#YF$+˜Zn%Ԋ<\p 'Wo]VuzȐ1wD딁_i\qzLX&S9$Wx( LIGa=r8vK|,_D$oZNHؑ c |y*Tt]3oB[6>$9q,dylCz /)(S|["$> zQ R/G,YԶ٥X#rP_xOddH$1eE4 l5؛ pQLZU[7"3te{Vװ428&>L;QqI~$,@[b_=\Ve?eeɉ#`CRvNk9\}k! :/BR͑G axe3·d1~T}Ggs=؎1&h*т6N_wo,lX49RU9Suli(=THx" Z^P'!nW߁k~0kGa=1,3ڪG\SXvtQD4j^˺9y(9py@$j)nt),y1g[ʮqt׃:)ŒdLҟ<54 6T\M08(b b{:Hȏ׶\LR\G:fY;2?R%L=qz.ivj֏[C'jSl!Stɶ_ĬMuYTEڰiG:aV<7=(7U/F;&iiسE8.U6SV ƭG'19HrH+Ԍ ۢa3!Xzvk;b(LJܚDD%B2[qg@}<ڭ:He Y9+~?`G0Y&Y-c} =YyX&j %\3^]cMM9b+A YHk2xZTu-lX!x!xy<,򀙄U5d_%B+$1ჷr)\qu-ެnrH/8qbpw=()OzYF1H/$Lt1tLWT\ h*x2 EzJ\hxe:*WT7?}Y ~":ujDQ:oJg9O0M6!6o U9pQ](耝ul!q>yjf:CȢLJG2Y!$ٔ{Ũk{g=+͞IV@H梗1籇5)(l5f1Y4PW!gYA2*(ׄUw}J;AN2ubrTmoOoxv>J 1 -)p>r)$Dϭ@*"{Ht ]pt`TcQ + =ȤQzmpJ0fG@q*͐p~ ??׎VeG1۸Lá9%c.6#؈R}Dui';^-[~dOrGfH"$zGZznRUjQ˼#9qEŽbg[A ief3MWPq  . Z Awpnmp ';p7yC2nnڪdwS6`<ڄ_੝gmˈhɸ Nhυgy=ߞ.9I gH=øY2l"99T;E^ UK rb$&Ƀ ~> 6>ixY`a`y&5Tyfa{TX5 k]FTrISa4 Zmwu??-TO<¶̲#. /=2{( cj=JP8B;W!FN49jSAC:]mU]_Hw,t&}lvSDޕٳRjouH=n{ )ْFX"1{{@ OzdDivrr+GXןAI:5H:)fr}:^fZ5.^՚r>}{~]F@E *k*~?E6Ȓ(䀐)yn9H\"bSg7o,2io` [`mbs]h,񖪹(H=;+׭2-2=.7HITsshfIPb[q}Kf;57;_k)|^Ru{g&vfֺ+ ׎!]!k߉SQum$XEMp@Sf@O/$C`l=>amvFw~p!@i`ـ ԏ g_)j8ߛuNjm#B3~֊ȑM H%jT2 YAPo[@kq9V1m켭pnTw?2QZ*7ܔxg 2]酶 Yt@RpG֥5Mn2Ϙel%| F›B^,D~bXc'tlW=r4d7&Q ˾zR! |~`z$ 3=,T>^/6Z1 %}HKGr G2971ĽBMO~X{=dWe$ ye6p6M@ |qKM\2(P Q#'ĥ_-S{<萦.ZE&Ӝۣ#spď`dW#CM{#,gcH{%MM[RLX_ {ИN!o(12֮2ʕGIW<,zhO[3a7:Gݍ[G{RzJx{ r o\%[T!\^-%/R.ytӘD2}/H%{`WmZ[^L+̩3Y#'$V0m@ђR;]0sʓ`ikЇh _ޒIũՁ}"i2ۚ y\YcnKuaI%|>'_I;OIĂN<x+b{bFf g%,nQnAd:F>ZnRy׏ٜW ;)5"&Di;6Tqzisυjmg2|EG; KycHxpaՅLoZШ`l !?S@~n^t͍vP++jsX[3irļauOf@ (a ԋyKdi* x2|k:N]k8R3 ͏h~G.:ȟ* (w$_!Uwp15t53hcuHv6\ߛj2B~;zcRեIG {'l{& .|HL:Ϳ%FGmJ*5ln0dosRӫbs;iӎ)A0JC[.KX盽-4dEC+lM4aT@l БK5ir{fI|QA[lYS\4Rvxmƥru=ͅ3vPG#뼂^nӉMN[$Ifu;L)1==`q@Fq/!̜QU|E@ѿ'%YR]''"E)rT*\L0yeϊXގG`T0MKkh8esG(|+ebƛt>u+]9ٻ92G5}v J3U_%.YyLF˼fn;qgc儩xt־|۲C lD/R&ٞ!~&|(|M;E8A`J9@em^+i*{0ׯjcǸ8@kx6zcRեIG {$'pLa$+Kб4$˪-xr/V]򩩐-8{2LQ`7G0H5|iJ oͮ ;tT&TE;? 2ҁ_ie.)poϐԥɄo+S{ Yd}[w> =0,?&,H? +Bf% x+2Z <4礐ƒψcH3/U,9S@ondML-Ydr P+KOagU!`&Pc0L5%)պc0X:ў%m0`x{1]HzSZDJ*|9isJנ69W;#8@ ^E~yU3M7`XUbԆSbρzPxQgk]amN1E%4]O<1[޶z\pT:UKb@@-қTU"]}x XqQZ'~ (bmݫ/2T -%\O/D:($2&IC)4[+zF*SSctטtj56Q ai\/#ѯm֯X0϶t07Rv,#HLq 2 TnM#] ONI7j}0n#5n>@-Ki{ݚ@S:(^[t ꕹFMia}lrj5:0O/L>6i9*2hb7g2vx#WjR=3l#̈Tz9-[N|tamb*ZKZUkL}%Gl䩀y'TԚ.&* VeÔ 71]<3)etIOQz|ޗ˭JU=ooxj Հjiy eNa62a2h9 9 Pt`2<#^mF̶a%$s1*ތ= (sD 윗I(dگ´ln!NJy~JYM&n%秇j"cbkM'-3;tpJ}={_EXbgR )*e7`hPVg 43CѲf*ZpR!'2`J瓬v\wFI neL ,A}iC>@qK.%Us=ARQ^7 m'9'jJ F>lm]e֭[rvRfJIDXMs2y ٌ'M{v2oN^)Ri@kg4ɕ5<(느|ŜfU„/\n;d@YRDR-'pZÆ+wmyc>ںObx${`)Ж ]I:RbxcCJ=ZgB'֔qFOD]0\n[\K(Mu _yO"kt̝])HX4I^(1=6QaH:1[F˼3("ȿ6z>x<K|8$>7s.i?uC, \[ۧFX5mȦ_1?RM4MHK7,c.DNԝ1rbM0|q%cI ^G G"ۜ4N (ϝy;iQ[h!9sۃ*neazXm H+d;Y!)\"^*!rUpzO1ܳ8bO`/ zQ\ޥ3xVc PʾC~LČ&j2MEt3bdxs89QӃen(<۪۠a5.wn TbXA;Q?ȋ>g|8'g0~?Jg@!ganRϝUΧ"tcQ D*d/!"W%>Ux&L82j 12#y*i`.RKzY/zFow"t.\N:\&=sDw}r:=j#LD`~؟?BB(Fd@B#Av.<62%S݇:] # /@J<|P=7 l:&J)b2+ -zN ꀑ6^OCtʔQ\Y*ȴ;Jcrnn(l)iW#q_ 7-I`+T0 cEa- 6g:^2 ^AuR6M ʷNES˖VD\KǥK/Y#O .$Qm{ZGC7F?tSj\XA:BrkY!HX@ ~Qt}/=W p5뤅FKCSٵwIT胊 RU+^o8yG nMU[G>#"lc`]z*lny[\?$~wX{uK1>Aဴ$vtaaRbMk3l+O7ĠCƏpM: 6Bm͈L~u##V !@Cus8ht&Rej1CӅHrl`Ŀ,w6i+'> Dë;?f >uxBO7 }pmL܉rݨ9;k0)ks3_3Ȁe)Mf2Qf1EѸ!lÜs12ov!;0*Gʎ}mڐ/{#;ݩZQM6!6lK!@Mx~303 p~t?,+\_F7NkӲ_Ts<*,xz0s䒤qe-9"B p[ӕ!#F'8`(xa :_7'͟1E7[&(˭_qh$$k2 @e,a.l.wQ]'Epm  z`NB!//k?׭`wόť.l> endobj 157 0 obj [ 550 541 528 628 510 476 593 669 316 307 574 455 822 652 611 520 618 562 464 479 ] endobj 158 0 obj <> endobj 159 0 obj <>stream %!PS-AdobeFont-1.0: t1-gul-regular-smallcaps 001.001 %%Title: t1-gul-regular-smallcaps %Version: 001.001 %%CreationDate: Mon May 26 10:39:46 2008 %%Creator: CV Radhakrishnan,,, %Copyright: Gulliver, Giant amongst Dwarfs. %Copyright: This typeface offers excellent readability at very small %Copyright: sizes. %Copyright: %Copyright: The digitally encoded machine readable outline data for %Copyright: producing the typefaces licensed to you is copyrighted (c), %Copyright: 1994, 2005 by and the property of Gerard Unger. % Generated by FontForge 20070607 (http://fontforge.sf.net/) %%EndComments FontDirectory/t1-gul-regular-smallcaps known{/t1-gul-regular-smallcaps findfont dup/UniqueID known{dup /UniqueID get 4084430 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 12 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /QDTHNW+t1-gul-regular-smallcaps def /FontBBox {-115 -321 1407 1009 }readonly def /UniqueID 4084430 def /XUID [1021 992 867865856 15320446] def /PaintType 0 def /FontInfo 11 dict dup begin /version (001.001) readonly def /Notice (Gulliver, Giant amongst Dwarfs.\012This typeface offers excellent readability at very small sizes.\012\012The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted \050c\051, 1994, 2005 by and the property of Gerard Unger.) readonly def % Gulliver, Giant amongst Dwarfs. % This typeface offers excellent readability at very small sizes. % % The digitally encoded machine readable outline data for producing the typefaces licensed to you is copyrighted (c), 1994, 2005 by and the property of Gerard Unger. /FullName (Gulliver SCOsF) readonly def /FamilyName (Gulliver SCOsF) readonly def /Weight (Regular) readonly def /FSType 4 def /ItalicAngle 0 def /isFixedPitch false def /UnderlinePosition -75 def /UnderlineThickness 50 def /ascent 789 def end readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 97 /a put dup 98 /b put dup 99 /c put dup 101 /e put dup 102 /f put dup 105 /i put dup 108 /l put dup 110 /n put dup 111 /o put dup 114 /r put dup 115 /s put dup 116 /t put readonly def currentdict end currentfile eexec oc;jAw-36Uu4 l.Nk48DPh>[ME7wk9B.H.CSoZqO O)9OHl~Q:ɾD0j J'JZ `B 5ԆG tbY7:Ϳ2hK@,'$Qr[GB_720 qs`a|Xu\ӅZ?.PcN7.?WֺYq^$^VA7Up c?{RlG9a% #SȣP^-qTo8g^Z#Z #v.Cows?**hfy&;D bÍ!*=8-T9wPa4ԩ^vqB }p ;?IX`D-5 %[!Ӟ1o gn/yhgD`Ce}zB-8Zvʼ-ki8˹HCW*e*~V7gHmWrM)OlPlSN hUGXǧ=v%vӈ ^o66'%&AT( uw7 :L{|&( ,cY44rf*go&z* {NhJl0r1xР%syX\8 ]n`85˲#sBIr:lr܎eǪ7o~!sPAz18xA նNthTw6I[T]`T: v5Z*nZ o)f{H0jer9;Q"}l|a/osARS#݅mrnWe$h1Љ^XY{c+qi|l#mH PJ uSCB`ְ{FflVηiޢɊڿ;%rh0x 1y=XZ |~{rwy)&W$.6K6'ؘǿ6BA%dד\vu;7w}`-!/@ )$9vg޽ȭ2,8tv"# 3 $Buw`f aMG8aOһYbI#mM E.i [qI]4>stU'5upLQvE\ oG~$T2i=$v>ÅN.ȿ&6 ?XxKBal߉X+ıybhrm:dïi9 s܋J`I>:X|xE6l">\#M^>)Ʋ}}s14_;ũ yW-D}#/WML윰k7q7t>O@tlӱ%@WǼD^P ;1 ہZU0jm b{e(zaX ,9s~ƣK ͔?;8C=" C; jc: vhu"w@<]Lجt^}2 ԍnK^j*-FK8:s FBJ27+EP A@F''` H+O 9kI^SL<}Ir>4P :)H1䁜ž5[_RUCAxl=_0 p#ks-K~'G OS@~zk9j?qeVp9rAOAM;n] @`}Bx*QVO9_y|=I_ 8ȅQ({KqKbAanm *.Jh-a~Q&wiܪtP*AH)Hk&E}ZOmzMo\ ּ]8JvxJdo_P lz*o{ۡjWհ#GMN].ɨ2e'%_P2̬W'MPAYQps]_HNs&zt~몙~?K _̤H4GyV(Akj.Q䐧HJ:ux\jLFzoSﴔd!в.- cmnWċַ|Flb`.Tv#HYB\)UґV:ҳ?v?&$AOF GlxbF(qfƂgR]8vWJ7krx7M dyF#qgݸts5r ֤cLm3+NW0: )AI!%A7vac;2FERVނGdE90N!tʆH7l#V]^%2ShԿ CΟ^c.2 ),vo,{(ݞK:LlwM 2Y_?l6EPA>YlQP?7Q%1bt [-F˕<1BoqH D'sRrz,Ռbct"׳1&&3e"G Ƙ# 6|a.T_gCAkm z0Hy-~D"i/3SQEfab6ttMgVMvqZ{."3&Wּ-K$IOɢgz3],tG x֪!K3s(r;h[;pq[^[El2J%HZ9pQAQ7?k11gEbc+ktZE XxKBE{6tNa RSmBD}Dpft d+\|ɃVS+C.5c5 :Mhsė Sc흢ܬJfKMمS*)HÑTۈ~;|ӖJU\5a5=i=ljBDxq!X ̦vJp/Y]D0T Sr;y7}{"NV!![‡M[,jzyhWe lUbڌAz*Bנ/#U/qۏ_ހRVAiR2MO.]LaiN+Uzczi :`vrtWA%FNtQQ:_!؊H ;`C=K-վ3$$qStV,O*;Ky󝳻|l8D0@,e9dvfCS:L7و_X[݇0nc]W3[@gN:hV\LY6vNQXPoRUcc߃'LMs!s'%Rᄟ~lfhQDLn7E P\O%9Tj]|Fe/2͹R tَ@9.-~Rxը /W)Jq4ԓˮbd|)#MV;lY p%9ǖq /s} œ8L6&Pzb G:&=W5F$h1Z~ :txkOk"X%.(AZ(1cH }C}X~cR [`?ձ\c %4ƫ/ 7kct=!Zɸ"/[818!tqxQq}([`$6ɨ߂G*9tH戥>M/&.+MtG1MG(\8f#7p85 MfƭlO8'eq*5ƝDV47L8sZu\ƿ qP~5r{P|)q EDsɺ Yɇ[WSbOH,ƞۏ VF4V Zܰn .ow_吵: %<*Y/sP`6#hlWg6Y i*)fySc[-5GwoK=Ɔ`7%(F`G_\? &A_^7` ڞx᧓1S>%!h< D?AfL̢o}P< 3Zq{BZKAM b&<夔3@s"f_t,בwAˇ-,EK)$6ôOi]KсylZ~ nYNLNbXƻ0Jw,BTHgђSD-\fXC#pZ_&0L:ᓎ0_eW^]ԑŲ]b:LQFWIurV~W=dH#*7Ѷݎ&Z5˫wƮ3o{ GP AzܿBK>&Q]V[:]Fq%ac7xStGp w eꅟ87>d& P(y*{j30ˤ~4G_9&^:]R TQ9&e@as`ij5W=\5< ׃`KD ЗS#| )""9[]?ç!,>(;$+IKr? TR'g>NPl`6CmQ{,%>rtFz=1sQ^TfMpδ7W$WBB#~%jĸendstream endobj 168 0 obj <> endobj 169 0 obj [ 823 ] endobj 170 0 obj <> endobj 171 0 obj <>stream %!PS-AdobeFont-1.0: Dingbats 001.005 %%CreationDate: Mon Mar 23 1998 % Copyright URW Software, Copyright 1997 by URW % URW Software, Copyright 1997 by URW % See the file PUBLIC (Aladdin Free Public License) for license conditions. 11 dict begin /FontInfo 10 dict dup begin /version (001.005) readonly def /Notice (URW Software, Copyright 1997 by URW) readonly def /Copyright (Copyright URW Software, Copyright 1997 by URW) readonly def /FullName (Dingbats ) readonly def /FamilyName (Dingbats) readonly def /Weight (Regular) readonly def /ItalicAngle 0.0 def /isFixedPitch false def /UnderlinePosition -72 def /UnderlineThickness 36 def end readonly def /FontName /TVGGGO+Dingbats def /PaintType 0 def /FontBBox {-1 -143 981 819} readonly def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef 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8.2889 Tf 78.507 182.44 Td [(Gao)]TJ ET 1 0 0 1 93.335 182.44 cm 0 g 0 G 1 0 0 1 2.624 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -95.959 -182.44 cm BT /F22 8.2889 Tf 95.959 182.44 Td [(&)]TJ ET 1 0 0 1 101.72 182.44 cm 0 g 0 G 1 0 0 1 2.624 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -104.344 -182.44 cm BT /F22 8.2889 Tf 104.344 182.44 Td [(Wang,)]TJ ET 1 0 0 1 128.73 182.44 cm 0 g 0 G 1 0 0 1 2.624 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -131.354 -182.44 cm BT /F22 8.2889 Tf 131.354 182.44 Td [(2003)]TJ ET 1 0 0 1 150.551 182.44 cm 0 g 0 G 1 0 0 1 -150.551 -182.44 cm BT /F22 8.2889 Tf 150.551 182.44 Td [(;)]TJ ET 1 0 0 1 156.093 182.44 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -156.093 -182.44 cm BT /F22 8.2889 Tf 156.093 182.44 Td [(Han)]TJ ET 1 0 0 1 171.594 182.44 cm 0 g 0 G 1 0 0 1 -171.594 -182.44 cm BT /F22 8.2889 Tf 171.594 182.44 Td [(,)]TJ ET 1 0 0 1 173.533 182.44 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -173.533 -182.44 cm BT /F22 8.2889 Tf 173.533 182.44 Td [(2004a)]TJ ET 1 0 0 1 197.024 182.44 cm 0 g 0 G 1 0 0 1 -197.024 -182.44 cm BT /F22 8.2889 Tf 197.024 182.44 Td [(,)]TJ ET 1 0 0 1 198.963 182.44 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -198.963 -182.44 cm BT /F22 8.2889 Tf 198.963 182.44 Td [(2004b)]TJ ET 1 0 0 1 222.959 182.44 cm 0 g 0 G 1 0 0 1 -222.959 -182.44 cm BT /F22 8.2889 Tf 222.959 182.44 Td [(;)]TJ ET 1 0 0 1 228.502 182.44 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -228.502 -182.44 cm BT /F22 8.2889 Tf 228.502 182.44 Td [(Haoussi)]TJ ET 1 0 0 1 258.541 182.44 cm 0 g 0 G 1 0 0 1 2.624 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -261.165 -182.44 cm BT /F22 8.2889 Tf 261.165 182.44 Td [(&)]TJ ET 1 0 0 1 266.925 182.44 cm 0 g 0 G 1 0 0 1 2.624 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -269.549 -182.44 cm BT /F22 8.2889 Tf 269.549 182.44 Td [(Tis-)]TJ ET 1 0 0 1 32.706 152.361 cm 0 g 0 G q 1 0 0 1 0 2.74 cm []0 d 0 J 0.498 w 0 0 m 35.866 0 l S Q 1 0 0 1 -32.706 -152.361 cm BT /F134 5.9776 Tf 36.255 146.67 Td [(I)]TJ/F22 6.6311 Tf 8.515 -2.777 Td [(This)-567(work)-568(is)-567(supported)-567(by)-567(the)-568(Beijing)-567(Education)-567(Committee)-568(Cooperation)]TJ -12.064 -8.568 Td [(Building)-781(Foundation)-782(Project)-781(XK100070532)-781(and)-781(China)-782(Postdoctoral)-781(Science)]TJ 0 -8.568 Td [(Foundation)-421(20080440308.)-423(The)-421(material)-421(in)-421(this)-422(paper)-421(was)-421(not)-421(presented)-422(at)-421(any)]TJ 0 -8.568 Td [(conference.)-537(This)-536(paper)-535(was)-535(recommended)-536(for)-535(publication)-536(in)-535(revised)-535(form)-536(by)]TJ 0 -8.567 Td [(Associate)-250(Editor)-250(Keqin)-250(Gu)-250(under)-250(the)-250(direction)-250(of)-250(Editor)-250(Andr\351)-250(L.)-250(Tits.)]TJ/F179 8.3686 Tf 4.108 -6.479 Td [(\003)]TJ/F22 6.6311 Tf 7.956 -2.777 Td [(Corresponding)-273(address:)-273(School)-273(of)-273(Automation,)-273(Beijing)-273(Institute)-274(of)-273(Technology,)]TJ -12.064 -8.568 Td [(5)-315(Zhongguancun)-315(South)-315(Street,)-315(Beijing)-315(100081,)-315(China.)-316(Tel.:)-315(+86)-315(10)-315(68912464;)-315(fax:)]TJ 0 -8.568 Td [(+86)-250(10)-250(68918232.)]TJ/F40 6.6311 Tf 12.064 -9.196 Td [(E-mail)-250(addresses:)]TJ ET 1 0 0 1 97.461 74.034 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -97.461 -74.034 cm BT /F22 6.6311 Tf 97.461 74.034 Td [(helios1225@yahoo.com.cn)]TJ ET 1 0 0 1 178.214 74.034 cm 0 g 0 G 1 0 0 1 -178.214 -74.034 cm BT /F22 6.6311 Tf 179.871 74.034 Td [(\050J.)-250(Sun\051,)]TJ ET 1 0 0 1 204.758 74.034 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -204.758 -74.034 cm BT /F22 6.6311 Tf 204.758 74.034 Td [(gpliu@glam.ac.uk)]TJ ET 1 0 0 1 258.032 74.034 cm 0 g 0 G 1 0 0 1 -258.032 -74.034 cm BT /F22 6.6311 Tf 32.706 65.466 Td [(\050G.P.)-250(Liu\051,)]TJ ET 1 0 0 1 63.282 65.466 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -63.282 -65.466 cm BT /F22 6.6311 Tf 63.282 65.466 Td [(chenjie@bit.edu.cn)]TJ ET 1 0 0 1 120.72 65.466 cm 0 g 0 G 1 0 0 1 -120.72 -65.466 cm BT /F22 6.6311 Tf 122.378 65.466 Td [(\050J.)-250(Chen\051,)]TJ ET 1 0 0 1 151.289 65.466 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -151.289 -65.466 cm BT /F22 6.6311 Tf 151.289 65.466 Td [(drees@glam.ac.uk)]TJ ET 1 0 0 1 205.644 65.466 cm 0 g 0 G 1 0 0 1 -205.644 -65.466 cm BT /F22 6.6311 Tf 207.302 65.466 Td [(\050D.)-250(Rees\051.)]TJ ET 1 0 0 1 32.706 62.896 cm 0 g 0 G 1 0 0 1 260.025 -22.535 cm 0 g 0 G 0 g 0 G 1 0 0 1 -292.731 -40.361 cm BT /F22 8.2889 Tf 301.697 341.96 Td [(sir,)]TJ ET 1 0 0 1 313.219 341.96 cm 0 g 0 G 1 0 0 1 2.488 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -315.707 -341.96 cm BT /F22 8.2889 Tf 315.707 341.96 Td [(2009)]TJ ET 1 0 0 1 334.904 341.96 cm 0 g 0 G 1 0 0 1 -334.904 -341.96 cm BT /F22 8.2889 Tf 334.904 341.96 Td [(;)]TJ ET 1 0 0 1 340.31 341.96 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -340.31 -341.96 cm BT /F22 8.2889 Tf 340.31 341.96 Td [(Jiang)]TJ ET 1 0 0 1 359.192 341.96 cm 0 g 0 G 1 0 0 1 2.488 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -361.68 -341.96 cm BT /F22 8.2889 Tf 361.68 341.96 Td [(&)]TJ ET 1 0 0 1 367.44 341.96 cm 0 g 0 G 1 0 0 1 2.488 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -369.928 -341.96 cm BT /F22 8.2889 Tf 369.928 341.96 Td [(Han,)]TJ ET 1 0 0 1 387.368 341.96 cm 0 g 0 G 1 0 0 1 2.488 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -389.856 -341.96 cm BT /F22 8.2889 Tf 389.856 341.96 Td [(2005)]TJ ET 1 0 0 1 409.053 341.96 cm 0 g 0 G 1 0 0 1 -409.053 -341.96 cm BT /F22 8.2889 Tf 409.053 341.96 Td [(;)]TJ ET 1 0 0 1 414.459 341.96 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -414.459 -341.96 cm BT /F22 8.2889 Tf 414.459 341.96 Td [(Niculescu)]TJ ET 1 0 0 1 451.493 341.96 cm 0 g 0 G 1 0 0 1 -451.493 -341.96 cm BT /F22 8.2889 Tf 451.493 341.96 Td [(,)]TJ ET 1 0 0 1 453.433 341.96 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 2.488 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -455.921 -341.96 cm BT /F22 8.2889 Tf 455.921 341.96 Td [(2001)]TJ ET 1 0 0 1 475.118 341.96 cm 0 g 0 G 1 0 0 1 -475.118 -341.96 cm BT /F22 8.2889 Tf 475.118 341.96 Td [(;)]TJ ET 1 0 0 1 480.524 341.96 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -480.524 -341.96 cm BT /F22 8.2889 Tf 480.524 341.96 Td [(Park)]TJ ET 1 0 0 1 497.499 341.96 cm 0 g 0 G 1 0 0 1 -497.499 -341.96 cm BT /F22 8.2889 Tf 497.499 341.96 Td [(,)]TJ ET 1 0 0 1 499.439 341.96 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 2.488 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -501.927 -341.96 cm BT /F22 8.2889 Tf 501.927 341.96 Td [(1999)]TJ ET 1 0 0 1 521.124 341.96 cm 0 g 0 G 1 0 0 1 -521.124 -341.96 cm BT /F22 8.2889 Tf 521.124 341.96 Td [(;)]TJ ET 1 0 0 1 526.53 341.96 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -526.53 -341.96 cm BT /F22 8.2889 Tf 526.53 341.96 Td [(Suplin,)]TJ ET 1 0 0 1 552.756 341.96 cm 0 g 0 G 1 0 0 1 -251.059 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.367 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -301.697 -331.593 cm BT /F22 8.2889 Tf 301.697 331.593 Td [(Fridman,)]TJ ET 1 0 0 1 335.673 331.593 cm 0 g 0 G 1 0 0 1 2.894 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -338.567 -331.593 cm BT /F22 8.2889 Tf 338.567 331.593 Td [(&)]TJ ET 1 0 0 1 344.328 331.593 cm 0 g 0 G 1 0 0 1 2.892 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -347.22 -331.593 cm BT /F22 8.2889 Tf 347.22 331.593 Td [(Shaked,)]TJ ET 1 0 0 1 376.737 331.593 cm 0 g 0 G 1 0 0 1 2.894 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -379.631 -331.593 cm BT /F22 8.2889 Tf 379.631 331.593 Td [(2006)]TJ ET 1 0 0 1 398.828 331.593 cm 0 g 0 G 1 0 0 1 -398.828 -331.593 cm BT /F22 8.2889 Tf 398.828 331.593 Td [(\051.)-350(Most)-349(of)-348(the)-349(existing)-349(delay-dependent)]TJ ET 1 0 0 1 301.697 331.593 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -331.593 cm BT /F22 8.2889 Tf 301.697 321.227 Td [(stability)-190(criteria)-190(are)-189(obtained)-190(using)-190(Lyapunov\025Krasovskii)-190(approach)]TJ ET 1 0 0 1 301.697 321.227 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -321.227 cm BT /F22 8.2889 Tf 301.697 310.861 Td [(or)-401(Ly)1(apunov\025Razumikhin)-401(approach.)-401(To)-401(address)-400(this)-401(issue,)-400(a)-401(de-)]TJ ET 1 0 0 1 301.697 310.861 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -310.861 cm BT /F22 8.2889 Tf 301.697 300.495 Td [(scriptor)-382(model)-382(transformation)-382(method)-382(is)-382(introduced)-383(in)]TJ ET 1 0 0 1 520.72 300.495 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -520.72 -300.495 cm BT /F22 8.2889 Tf 520.72 300.495 Td [(Fridman)]TJ ET 1 0 0 1 552.756 300.495 cm 0 g 0 G 1 0 0 1 -251.059 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.366 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -301.697 -290.129 cm BT /F22 8.2889 Tf 301.697 290.129 Td [(and)]TJ ET 1 0 0 1 315.946 290.129 cm 0 g 0 G 1 0 0 1 2.347 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -318.293 -290.129 cm BT /F22 8.2889 Tf 318.293 290.129 Td [(Shaked)]TJ ET 1 0 0 1 345.87 290.129 cm 0 g 0 G 1 0 0 1 2.348 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -348.218 -290.129 cm BT /F22 8.2889 Tf 348.218 290.129 Td [(\050)]TJ ET 1 0 0 1 351.284 290.129 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -351.284 -290.129 cm BT /F22 8.2889 Tf 351.284 290.129 Td [(2003)]TJ ET 1 0 0 1 370.481 290.129 cm 0 g 0 G 1 0 0 1 -370.481 -290.129 cm BT /F22 8.2889 Tf 370.481 290.129 Td [(\051.)-283(This)-284(method)-283(significantly)-283(reduces)-283(the)-283(conser-)]TJ ET 1 0 0 1 301.697 290.129 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -290.129 cm BT /F22 8.2889 Tf 301.697 279.763 Td [(vatism)-211(of)-211(the)-211(results)-211(since)-211(it)-211(is)-211(based)-211(on)-211(an)-212(equ)1(ivalent)-212(model)-211(of)-211(the)]TJ ET 1 0 0 1 301.697 279.763 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -279.763 cm BT /F22 8.2889 Tf 301.697 269.397 Td [(original)-242(system.)-241(In)-242(order)-241(to)-242(reduce)-241(further)-242(the)-241(conservatism)-242(intro-)]TJ ET 1 0 0 1 301.697 269.397 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -269.397 cm BT /F22 8.2889 Tf 301.697 259.031 Td [(duced)-297(by)-297(model)-297(transformation)-297(and)-297(bounding)-297(techniques,)-297(a)-297(free-)]TJ ET 1 0 0 1 301.697 259.031 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -259.031 cm BT /F22 8.2889 Tf 301.697 248.665 Td [(weighting)-371(matrices)-371(method)-370(is)-371(proposed)-371(in)]TJ ET 1 0 0 1 470.881 248.665 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -470.881 -248.665 cm BT /F22 8.2889 Tf 470.881 248.665 Td [(He,)]TJ ET 1 0 0 1 483.364 248.665 cm 0 g 0 G 1 0 0 1 3.075 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -486.439 -248.665 cm BT /F22 8.2889 Tf 486.439 248.665 Td [(Wu,)]TJ ET 1 0 0 1 501.997 248.665 cm 0 g 0 G 1 0 0 1 3.075 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -505.072 -248.665 cm BT /F22 8.2889 Tf 505.072 248.665 Td [(She,)]TJ ET 1 0 0 1 520.754 248.665 cm 0 g 0 G 1 0 0 1 3.075 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -523.829 -248.665 cm BT /F22 8.2889 Tf 523.829 248.665 Td [(and)]TJ ET 1 0 0 1 538.078 248.665 cm 0 g 0 G 1 0 0 1 3.074 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -541.152 -248.665 cm BT /F22 8.2889 Tf 541.152 248.665 Td [(Liu)]TJ ET 1 0 0 1 552.756 248.665 cm 0 g 0 G 1 0 0 1 -251.059 0 cm 0 g 0 G 0 g 0 G 1 0 0 1 0 -10.366 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -301.697 -238.299 cm BT /F22 8.2889 Tf 301.697 238.299 Td [(\050)]TJ ET 1 0 0 1 304.764 238.299 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -304.764 -238.299 cm BT /F22 8.2889 Tf 304.764 238.299 Td [(2004)]TJ ET 1 0 0 1 323.961 238.299 cm 0 g 0 G 1 0 0 1 -323.961 -238.299 cm BT /F22 8.2889 Tf 323.961 238.299 Td [(\051.)-353(Using)-352(the)-352(Newton\025Leibniz)-352(formula,)-352(some)-352(free-weighting)]TJ ET 1 0 0 1 301.697 238.299 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -238.299 cm BT /F22 8.2889 Tf 301.697 227.933 Td [(matrices)-395(are)-395(introduced)-396(in)-395(the)-395(derivation)-395(of)-395(the)-395(stability)-396(condi-)]TJ ET 1 0 0 1 301.697 227.933 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -227.933 cm BT /F22 8.2889 Tf 301.697 217.567 Td [(tion.)-363(The)-363(free-weighting)-362(matrices)-362(method)-363(was)-362(further)-363(improved)]TJ ET 1 0 0 1 301.697 217.567 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -217.567 cm BT /F22 8.2889 Tf 301.697 207.201 Td [(in)]TJ ET 1 0 0 1 312.217 207.201 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -312.217 -207.201 cm BT /F22 8.2889 Tf 312.217 207.201 Td [(He,)]TJ ET 1 0 0 1 324.7 207.201 cm 0 g 0 G 1 0 0 1 3.011 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -327.711 -207.201 cm BT /F22 8.2889 Tf 327.711 207.201 Td [(Wang,)]TJ ET 1 0 0 1 352.097 207.201 cm 0 g 0 G 1 0 0 1 3.011 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -355.108 -207.201 cm BT /F22 8.2889 Tf 355.108 207.201 Td [(Lin,)]TJ ET 1 0 0 1 368.693 207.201 cm 0 g 0 G 1 0 0 1 3.011 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -371.704 -207.201 cm BT /F22 8.2889 Tf 371.704 207.201 Td [(and)]TJ ET 1 0 0 1 385.953 207.201 cm 0 g 0 G 1 0 0 1 3.01 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -388.963 -207.201 cm BT /F22 8.2889 Tf 388.963 207.201 Td [(Wu)]TJ ET 1 0 0 1 402.581 207.201 cm 0 g 0 G 1 0 0 1 3.01 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -405.591 -207.201 cm BT /F22 8.2889 Tf 405.591 207.201 Td [(\050)]TJ ET 1 0 0 1 408.658 207.201 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -408.658 -207.201 cm BT /F22 8.2889 Tf 408.658 207.201 Td [(2005)]TJ ET 1 0 0 1 427.855 207.201 cm 0 g 0 G 1 0 0 1 -427.855 -207.201 cm BT /F22 8.2889 Tf 427.855 207.201 Td [(\051)-363(by)-363(constructing)-363(an)-364(augm)1(ented)]TJ ET 1 0 0 1 301.697 207.201 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -207.201 cm BT /F22 8.2889 Tf 301.697 196.835 Td [(Lyapunov)-280(functional.)-281(However,)-280(only)-280(a)-281(system)-280(with)-280(a)-280(constant)-281(de-)]TJ ET 1 0 0 1 301.697 196.835 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -196.835 cm BT /F22 8.2889 Tf 301.697 186.469 Td [(lay)-332(was)-332(considered)-332(in)]TJ ET 1 0 0 1 388.497 186.469 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -388.497 -186.469 cm BT /F22 8.2889 Tf 388.497 186.469 Td [(He)]TJ ET 1 0 0 1 399.041 186.469 cm 0 g 0 G 1 0 0 1 2.752 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -401.793 -186.469 cm BT /F22 8.2889 Tf 401.793 186.469 Td [(et)-332(al.)]TJ ET 1 0 0 1 420.716 186.469 cm 0 g 0 G 1 0 0 1 2.756 0 cm 0 0 .4 rg 0 0 .4 RG 0 g 0 G 1 0 0 1 -423.472 -186.469 cm BT /F22 8.2889 Tf 423.472 186.469 Td [(\050)]TJ ET 1 0 0 1 426.538 186.469 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -426.538 -186.469 cm BT /F22 8.2889 Tf 426.538 186.469 Td [(2005)]TJ ET 1 0 0 1 445.735 186.469 cm 0 g 0 G 1 0 0 1 -445.735 -186.469 cm BT /F22 8.2889 Tf 445.735 186.469 Td [(\051.)-333(By)-331(considering)-332(some)-332(use-)]TJ ET 1 0 0 1 301.697 186.469 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -186.469 cm BT /F22 8.2889 Tf 301.697 176.103 Td [(ful)-374(terms)-375(when)-374(estimating)-374(the)-374(upper)-375(bound)-374(of)-374(the)-374(derivative)-375(of)]TJ ET 1 0 0 1 301.697 176.103 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -176.103 cm BT /F22 8.2889 Tf 301.697 165.737 Td [(the)-259(Lyapunov)-260(functional)-259(some)-259(less)-260(conservative)-259(results)-259(have)-260(been)]TJ ET 1 0 0 1 301.697 165.737 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -165.737 cm BT /F22 8.2889 Tf 301.697 155.371 Td [(obtained)-312(\050)]TJ ET 1 0 0 1 341.036 155.371 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -341.036 -155.371 cm BT /F22 8.2889 Tf 341.036 155.371 Td [(He,)]TJ ET 1 0 0 1 353.519 155.371 cm 0 g 0 G 1 0 0 1 2.585 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -356.104 -155.371 cm BT /F22 8.2889 Tf 356.104 155.371 Td [(Wang,)]TJ ET 1 0 0 1 380.49 155.371 cm 0 g 0 G 1 0 0 1 2.586 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -383.076 -155.371 cm BT /F22 8.2889 Tf 383.076 155.371 Td [(Xie,)]TJ ET 1 0 0 1 397.399 155.371 cm 0 g 0 G 1 0 0 1 2.586 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -399.985 -155.371 cm BT /F22 8.2889 Tf 399.985 155.371 Td [(&)]TJ ET 1 0 0 1 405.746 155.371 cm 0 g 0 G 1 0 0 1 2.585 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -408.331 -155.371 cm BT /F22 8.2889 Tf 408.331 155.371 Td [(Lin,)]TJ ET 1 0 0 1 421.917 155.371 cm 0 g 0 G 1 0 0 1 2.586 0 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -424.503 -155.371 cm BT /F22 8.2889 Tf 424.503 155.371 Td [(2007)]TJ ET 1 0 0 1 443.7 155.371 cm 0 g 0 G 1 0 0 1 -443.7 -155.371 cm BT /F22 8.2889 Tf 443.7 155.371 Td [(\051.)-312(Recently,)-312(the)-312(results)-312(in)]TJ ET 1 0 0 1 542.213 155.371 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -542.213 -155.371 cm BT /F22 8.2889 Tf 542.213 155.371 Td [(He)]TJ ET 1 0 0 1 552.756 155.371 cm 0 g 0 G 1 0 0 1 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3.381 0 Td [(.)-368(The)-368(integral)-367(upper)-368(limit)-368(of)-367(these)-368(terms)]TJ ET 1 0 0 1 301.697 87.611 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -87.611 cm BT /F22 8.2889 Tf 301.697 75.833 Td [(are)-568(all)-568(`)]TJ/F40 8.2889 Tf 32.663 0 Td [(t)]TJ/F22 8.2889 Tf 3.643 0 Td [('.)-570(Therefore,)-568(the)-568(information)-567(on)-568(the)-568(lower)-568(bound)-568(of)]TJ ET 1 0 0 1 301.697 75.833 cm 0 g 0 G 0 g 0 G 1 0 0 1 -301.697 -75.833 cm BT /F22 8.2889 Tf 301.697 65.466 Td [(the)-442(delay,)]TJ/F183 9.5641 Tf 42.343 0 Td [(\034)]TJ/F22 5.8022 Tf 4.141 -1.434 Td [(1)]TJ/F22 8.2889 Tf 3.857 1.434 Td [(,)-442(is)-441(not)-442(used)-442(adequat)1(ely)-442(when)-442(the)-441(lower)-442(bound)-441(is)]TJ ET 1 0 0 1 301.697 65.466 cm 0 g 0 G 0 g 0 G 1 0 0 1 -268.991 -37.06 cm 0 g 0 G 1 0 0 1 -32.706 -28.406 cm BT /F22 6.6311 Tf 32.706 48.929 Td [(0005-1098/$)-250(\025)-250(see)-250(front)-250(matter)]TJ/F102 7.0137 Tf 97.231 0 Td [(')]TJ/F22 6.6311 Tf 7.199 0 Td [(2009)-250(Elsevier)-250(Ltd.)-250(All)-250(rights)-250(reserved.)]TJ ET 1 0 0 1 32.706 40.361 cm 0 0 .4 rg 0 0 .4 RG 1 0 0 1 -32.706 -40.361 cm BT /F22 6.6311 Tf 32.706 40.361 Td [(doi:10.1016/j.automatica.2009.11.002)]TJ ET 1 0 0 1 148.789 40.361 cm 0 g 0 G 1 0 0 1 403.967 -11.955 cm 0 g 0 G endstream endobj 1 0 obj <> endobj 2 0 obj <> endobj 3 0 obj <> endobj 4 0 obj <> endobj 2 0 obj <> endobj 1 0 obj <> endobj 3 0 obj <> endobj 4 0 obj <> endobj 3 0 obj <> endobj 2 0 obj <> endobj 1 0 obj <> endobj 4 0 obj <> endobj 4 0 obj <> endobj 3 0 obj <> endobj 1 0 obj <> endobj 2 0 obj <> endobj 5 0 obj <>stream pdfTeX-1.40.3 application/pdf Improved delay-range-dependent stability criteria for linear systems with time-varying delays Jian Sun; G.P. Liu; Jie Chen; D. Rees Time-varying delay Lyapunov–Krasovskii functional Delay-range-dependent stability Linear matrix inequality (LMI) journal Automatica Copyright © 2009 Elsevier Ltd. All rights reserved. Elsevier Ltd 0005-1098 46 2 February 2010 Automatica 466-470 466 470 10.1016/j.automatica.2009.11.002 http://dx.doi.org/10.1016/j.automatica.2009.11.002 doi:10.1016/j.automatica.2009.11.002 elsevier.com sciencedirect.com 1 B Elsevier True 2010-01-08T14:58:59+05:30 2010-01-08T14:58:59+05:30 2010-01-08T14:58:59+05:30 endstream endobj 6 0 obj <>stream xڝwTTϽwz0z.0. 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