Delay-dependent robust stability and H∞ analysis of stochastic systems with time-varying delay

被引：0
|
作者：
孙继涛 [1 ]
王庆国 [2 ]
高含俏 [2 ]
机构：
[1] Department of Mathematics, Tongji University
[2] Department of Electrical and Computer Engineering, National University of Singapore
来源：
AppliedMathematicsandMechanics(EnglishEdition) | 2010年 / 31卷 / 02期
基金：
中国国家自然科学基金;
关键词：
time-varying delay systems; Markovian jump systems; stochastic stability; linear matrix inequality; H∞; control;
D O I：
暂无
中图分类号：
TP13 [自动控制理论];
学科分类号：
0711 ; 071102 ; 0811 ; 081101 ; 081103 ;
摘要：
This paper investigates the robust stochastic stability and H∞ analysis for stochastic systems with time-varying delay and Markovian jump. By using the freeweighting matrix technique, i.e., He’s technique, and a stochastic Lyapunov-Krasovskii functional, new delay-dependent criteria in terms of linear matrix inequalities are derived for the the robust stochastic stability and the H∞ disturbance attenuation. Three numerical examples are given. The results show that the proposed method is efficient and much less conservative than the existing results in the literature.
引用
收藏
页码：255 / 262
页数：8
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