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1、˖ڍመڙጲhttp://www.paper.edu.cn离散时间切换系统输入输出有限时间稳定性张光晨,王为群,高靖波南京理工大学大学理学院,南京 210094摘要:本文讨论具有任意切换和限制切换的切换系统输入输出有限时间问题。任意切换情形,分别对于输入信号W2和W1给出了切换系统有限时间稳定的充分条件。受限切换情形,讨论了已知切换信号和平均驻留时间两种情况下的切换系统输入输出有限时间稳定性问题;相应的充分条件通过线性矩阵不等式给出。最后,所得结论的有效性由一些数值例子进行了验证。关键词:切换系统,有限时间稳定性,输入输
2、出有限时间稳定性,已知切换数值,任意切换,平均驻留时间中图分类号:TP273SomenotesonInput-outputFinite-timeStabilityofDiscrete-timeSwitchedSystemsZHANGGuang-Chen,WANGWei-Qun,GAOJing-BoDepartmentofScience,NanjingUniversityofScienceandTechnology,Nanjing,210094Abstract:Thispapercontainsadiscussiononinp
3、ut-outputfinite-timestability(I-OFTS)issuesrelatedtoswitchedsystemsfeaturingarbitraryswitchingandrestrictedswitching.Forswitchedsystemsunderarbitraryswitching,sufficientconditionsareseparatelyobtainedforinputsignalsW2andW1,respectively.TheI-OFTSissuesforswitchedsystem
4、sunderrestrictedswitchingarethenaddressed,includingcasesofswitchingsignalswithknowninstantsandaveragedwelltime;correspondingsufficientconditionsareproposedviasolvableLMIsconstraints.Toconcludethepaper,theeffectivenessoftheproposedresultsareillustratedthroughnumericale
5、xamples.Keywords:switchedsystems,finite-timestability,input-outputfinite-timestability,knownswitchinginstants,arbitraryswitching,averagedwelltimeFoundations:SpecializedResearchFundfortheDoctoralProgramofHigherEducation(20133219110040)AuthorIntroduction:Correspondence
6、author:ZhangGuang-Chen(1985-),male,Ph.D.majorresearchdirection:MultidimensionalSystemsTheory.WangWei-Qun(1964-),female,professor,majorresearchdirection:2-Dsystems,fuzzysystemsandsingularsystems.GaoJing-Bo(1988-),male,Ph.D.candidate,majorresearchdirection:Multidimen
7、-sionalSystemsTheory.-1-˖ڍመڙጲhttp://www.paper.edu.cn0IntroductionSwitchedsystems,aspecialclassofhybridsystems,consistofanumberofsubsystems(eithercontinuous-timeordiscrete-timeordinarydynamicsystems)andaswitchinglaw,whichgovernssubsystemswitchinganddefinestheactiv
8、ationduringacertainintervaloftime.Inrecentdecades,switchedsystemshavebeenappliedinawidevarietyoffieldssuchasattractedcommunicationnetworks[1],thea