第8期 张志强等：时滞切换系统稳定性分析：一种积分等式方法 ·1093 I Shao HY Now deay dependentstabilit critera or systems wih interval de lay Aumma tica 2009 45 744 I7 Luo ZX ZhangX L De dependent smbilit of switched linear systems wih tme delay Control Theory APBl 2009 26(1):89 (罗正选张霄力.时滞切换系统的时福依赖稳定.控制理论 与应用，200926(1：89) 【8H知L V Ha Q P Phat VN Smbility and smbilization of switched Inear dynan ic sysmmswih tme deay and uncena inties APPIMa t Compyt 2009 210 223 I9 Km CanbellS A Liu X Z Dek independent stbilie of 6 8 10 s Inear switching systms with tie dehy J Math Anal Appl 2008339785 图2状态响应曲线(=089 10 Zharg XM WuM She JH et a]Deky dependent smabiliza Fg 2 State respanse curves d0 8 s) tion of lnear systm swih tme varying stare and nput delays Au mat20054h1405 参考文献 [11]LiXG Zhu X J Cao GY Stbility am Mysis of tmedely sy ms an nxgmlequality approac Contol Decis 2008 23 [刂Dea巾RA BrnickyM S Petersson Perpectives and e (4473 sults on the stabilit and stabilizability of hybrid systems Poc (李旭光，朱新坚，曹广益。时滞系统稳定性分析：一种积分 E正200088(7片1069 等式方法.控制与决策，200823(4)：473) [2 OdbaT FunahashiY On a omman quadratic Lyapurov finction 【12 Sun X M Zhao】HillD J Sbilit and,L-gan malysis pr orw idely distnt systems IFEE Trans Aucm Contol 2003 42 sw itched de lay systms a de lay.dependentmethad Auxmatic (12):1697 200642(10:1769 【3习Vu L.Lberan D Conmon Iyapunov functions pr fmilies of [13 BodS GhaouiLE FeonE etal Lnearmatrx mnequ lio n commu ting nonlinear systems Syst Contol Lest 2005 54(5): syskms and contol heory//SIAM Studies n Applied Ma themat 405 s PhiladelPh 1994 [4 BallichiA DiBnedetoMD PonelbC et al Hybrd cantrol in 【l4 Friman E Sh4 ed U Delay..dependent smbility and H以。n aunotive applications the cutoff control Aurmati 199g trol consunt and tme vanng dekys Int J Contol 2003 76 35519 (1248 5 MoneiA Agnda AG Switching contol pr tmedehy sysmms 15]HeY WangQG LnW etal De ky_range dependent stabilit /Poceedings of the2006 American Conto]Conference Mnneap pr systems w讳tme.varying卡恻Auratic200743(24 01is20065432 371第 8期 张志强等:时滞切换系统稳定性分析:一种积分等式方法 图 2 状态响应曲线(d=0.8s) Fig.2 Stateresponsecurves(d=0.8s) 参 考 文 献 [ 1] DecarloRA, BranickyM S, PetterssonS.Perspectivesandre￾sultsonthestabilityandstabilizabilityofhybridsystems.Proc IEEE, 2000, 88(7):1069 [ 2] OobaT, FunahashiY.OnacommonquadraticLyapunovfunction forwidelydistantsystems.IEEETransAutomControl, 2003, 42 (12):1697 [ 3] VuL, LiberzonD.CommonLyapunovfunctionsforfamiliesof commutingnonlinearsystems.SystControlLett, 2005, 54(5): 405 [ 4] BalluchiA, DiBnedettoMD, PonelloC, etal.Hybridcontrolin automotiveapplications:thecut-offcontrol.Automatica, 1999, 35:519 [ 5] MomeniA, AgndamAG.Switchingcontrolfortime-delaysystems ∥Proceedingsofthe2006 AmericanControlConference.Minneap￾olis, 2006:5432 [ 6] ShaoHY.Newdelay-dependentstabilitycriteriaforsystemswith intervaldelay.Automatica, 2009, 45:744 [ 7] LuoZX, ZhangXL.Delay-dependentstabilityofswitchedlinear systemswithtimedelay.ControlTheoryAppl, 2009, 26(1):89 (罗正选, 张霄力.时滞切换系统的时滞依赖稳定.控制理论 与应用, 2009, 26(1):89) [ 8] HienLV, HaQP, PhatVN.Stabilityandstabilizationof switchedlineardynamicsystemswithtimedelayanduncertainties. ApplMathComput, 2009, 210:223 [ 9] KimS, CampbellSA, LiuXZ.Delayindependentstabilityof linearswitchingsystemswithtimedelay.JMathAnalAppl, 2008, 339:785 [ 10] ZhangXM, WuM, SheJH, etal.Delay-dependentstabiliza￾tionoflinearsystemswithtime-varyingstateandinputdelays.Au￾tomatica, 2005, 41:1405 [ 11] LiXG, ZhuXJ, CaoGY.Stabilityanalysisoftime-delaysys￾tems:anintegral-equalityapproach.ControlDecis, 2008, 23 (4):473 (李旭光, 朱新坚, 曹广益.时滞系统稳定性分析:一种积分 等式方法.控制与决策, 2008, 23(4):473) [ 12] SunXM, ZhaoJ, HillDJ.StabilityandL2 -gainanalysisfor switcheddelaysystems:adelay-dependentmethod.Automatica, 2006, 42(10):1769 [ 13] BoydS, GhaouiLE, FeronE, etal.Linearmatrixinequalityin systemsandcontroltheory∥SIAMStudiesinAppliedMathemat￾ics.Philadelphia, 1994 [ 14] FridmanE, ShakedU.Delay-dependentstabilityandH∞ con￾trol:constantandtime-varyingdelays.IntJControl, 2003, 76 (1):48 [ 15] HeY, WangQG, LinW, etal.Delay-range-dependentstability forsystemswithtime-varyingdelay.Automatica, 2007, 43(2): 371 · 1093·