Stochastic Stabilization for Nonhomogeneous Markovian Jump Discrete-Time Singular Systems

被引：0
|
作者：
陈利雄 [1 ]
崔文霞 [1 ]
刘昱昊 [1 ]
机构：
[1] School of Mathematics Physics and Statistics,Shanghai University of Engineering Science
来源：
JournalofDonghuaUniversity(EnglishEdition) | 2018年 / 35卷 / 06期
基金：
中国国家自然科学基金;
关键词：
stochastic stability; nonhomogeneous; Lyapunov function; singular system; Markovian switching;
D O I：
10.19884/j.1672-5220.2018.06.009
中图分类号：
TP13 [自动控制理论];
学科分类号：
0711 ; 071102 ; 0811 ; 081101 ; 081103 ;
摘要：
Stochastic stability analysis and control synthesis problems are studied for a class of nonhomogeneous Markovian jump discretetime singular systems( MJDSS). The time-varying character is considered to be the model in a polytopic sense. Based on the parameter dependent stochastic Lyapunov functional and the matrix analysis techniques, sufficient criteria are derived to ensure regularity, causality and stochastic stability of the closed-loop singular system in terms of linear matrix inequalities. Finally,one example is provided to illustrate the effectiveness of our results.
引用
收藏
页码：486 / 490
页数：5
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