| CONTROLLABILITY OF A CLASS OF HYBRID DYNAMIC SYSTEMS (Ⅱ)—SINGLE TIME_DELAY CASE |
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| 引用本文： | 谢广明,王龙,叶庆凯.CONTROLLABILITY OF A CLASS OF HYBRID DYNAMIC SYSTEMS (Ⅱ)—SINGLE TIME_DELAY CASE[J].应用数学和力学(英文版),2003,24(9). |
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| 作者姓名： | 谢广明 王龙 叶庆凯 |
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| 作者单位： | Department of Mechanics and Engineering Science，Peking University，Department of Mechanics and Engineering Science，Peking University，Department of Mechanics and Engineering Science，Peking University Beijing 100871，P.R.China，Beijing 100871，P.R.China，Beijing 100871，P.R.China |
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| 基金项目： | theNationalNaturalScienceFoundationofChina (6992 5 3 0 7，60 2 740 0 1)theNationalKeyBasicResearchandDevelopmentProgram (2 0 0 2CB3 12 200)，thePostdoctoralProgramoundationofChina |
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| 摘 要： | IntroductionConsideraswitchedlinearsystemwithsingletime_delayinthecontrolfunctiongivenby x(t) =Ar(t) x(t) +Br(t) u(t) +Dr(t) u(t -τ) ,(1)wherex(t) ∈Rnisthestate,u(t) ∈R mtheinput,thepiecewiseconstantscalarfunctionr(t) :R+ → 1,2 ,… ,Nistheswitchingpath ,(Ai,Bi,Di) ｜i =1,… ,Nisafinitefamilyofsystemrealizations.Moreover,r(t) =iimpliesthat(Ai,Bi,Di)ischosenasthesystemrealizationattimet.τ >0isthefixedtimedelayincontrol.Inthispaper ,wewillstudythecontrollabilityofsystem (1) .Theone_per…
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CONTROLLABILITY OF A CLASS OF HYBRID DYNAMIC SYSTEMS ( Ⅱ )--SINGLE TIME-DELAY CASE |
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| XIE Guang_ming,WANG Long,YE Qing_kai.CONTROLLABILITY OF A CLASS OF HYBRID DYNAMIC SYSTEMS ( Ⅱ )--SINGLE TIME-DELAY CASE[J].Applied Mathematics and Mechanics(English Edition),2003,24(9). |
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| Authors: | XIE Guang_ming WANG Long YE Qing_kai |
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| Abstract: | The controllability for switched linear systems with time_delay in controls is first investigated. The whole work contains three parts. This is the second part. The definition and determination of controllability of switched linear systems with single time_delay in control functions is mainly investigated. The sufficient and necessary conditions for the one_periodic, multiple_periodic controllability of periodic_type systems and controllability of periodic systems are presented, respectively. |
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| Keywords: | hybrid dynamic system switched linear system time_delay controllability controllable set switching sequence switching path |
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