New Delay-Dependent Stability of Uncertain Discrete-Time Switched Systems with Time-Varying Delays  

作　　者：Liang Lin XIONG 1,2,Shou Ming ZHONG 2,3,Mao YE 4 1.School of Mathematics and Computer Science,Yunnan Nationalities University,Yunnan 650031,P.R.China 2.School of Applied Mathematics,University of Electronic Science and Technology of China,Sichuan 610054,P.R.China 3.Key Laboratory for NeuroInformation of Ministry of Education,University of Electronic Science and Technology of China,Sichuan 610054,P.R.China 4.School of Computer Science and Engineering,University of Electronic Science and Technology of China,Sichuan 610054,P.R.China 

出　　处：《Journal of Mathematical Research and Exposition》2011年第2期224-232,共9页数学研究与评论（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 60736029);the Program for New Century Excellent Talents in University (Grant No. 06-0811)

摘　　要：This paper deals with the issues of robust stability for uncertain discrete-time switched systems with mode-dependent time delays.Based on a novel difference inequality and a switched Lyapunov function,new delay-dependent stability criteria are formulated in terms of linear matrix inequalities （LMIs） which are not contained in known literature.A numerical example is given to demonstrate that the proposed criteria improves some existing results significantly with much less computational effort.This paper deals with the issues of robust stability for uncertain discrete-time switched systems with mode-dependent time delays.Based on a novel difference inequality and a switched Lyapunov function,new delay-dependent stability criteria are formulated in terms of linear matrix inequalities （LMIs） which are not contained in known literature.A numerical example is given to demonstrate that the proposed criteria improves some existing results significantly with much less computational effort.

关 键 词：discrete-time switched system difference inequality switched Lyapunov function delay-dependent stability linear matrix inequality （LMI） 

分 类 号：O231[理学—运筹学与控制论]