Further improvement of stability criterion and BRL for Markovian jump systems with interval time-varying delay  

作　　者：Jianchen LIU Jing ZHANG Hongqiang ZHANG Min HE 

机构地区：[1]Faculty of Electrical and Control Engineering, Liaoning Technical University, Huludao Liaoning 125105, China [2]College of Electrical and Information Engineering, Hunan University, Changsha Hunan 410082, China

出　　处：《控制理论与应用（英文版）》2012年第3期397-402,共6页

基　　金：supported by the National Natural Science Foundation of China(No.61174140)

摘　　要：This paper deals with delay-dependent stochastic stability and bounded real lemma （BRL） for Markovian jump linear systems with interval time-varying delays. By constructing some new Lyapunov functionals and using the Jensen＇s integral inequality method, the free weighting matrix method, the convex combination method and the delay decomposition approach integratedly, some less conservative delay-dependent stability criteria and BRL are established. Numerical examples are given to show the effectiveness of the proposed method.This paper deals with delay-dependent stochastic stability and bounded real lemma （BRL） for Markovian jump linear systems with interval time-varying delays. By constructing some new Lyapunov functionals and using the Jensen＇s integral inequality method, the free weighting matrix method, the convex combination method and the delay decomposition approach integratedly, some less conservative delay-dependent stability criteria and BRL are established. Numerical examples are given to show the effectiveness of the proposed method.

关 键 词：Markovian jump systems Time-varying delay DELAY-DEPENDENT Linear matrix inequality （LMI） 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置] TP13[自动化与计算机技术—控制科学与工程]