On Exponential Stability of Switched Systems with Delay: Multiple Lyapunov Functions Approach

作     者：Cong Shen1,3,Qian Wei2,Fei Shumin3 1.Department of Automation,Nanjing University of Science and Technology,Nanjing 210094,P.R.China2.Department of Computer Science and Technology,Henan Polytechnic University,Jiaozuo 454000,P.R.China3.Research Institute of Automation,Southeast University,Nanjing 210096,P.R.China 

会议名称：《第二十六届中国控制会议》

会议日期：2007年

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070104[理学-应用数学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0701[理学-数学] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：supported by National Nature Science Foundation under Grant 60574006 

关 键 词：Switched Systems Time-Delay Exponential Stability Delay-Independence 

摘      要：The switched system composed of several linear time-delay systems is *** problem is to find the constraint conditions on subsystems and switching sequences to preserve the exponential *** multiple Lyapunov functions approach is generalized to the time-delay case,it is verified that the specified stability criterion for subsystems implies the exponential stability of whole system whenever the segments between two consecutive switching instants are greater than a prescribed *** results include the correpondent conclusion of stability analysis in the case without *** examples are given to demonstrate our results.