Stochastic Stability for Time-Delay Markovian Jump Systems with Sector-Bounded Nonlinearities and More General Transition Probabilities

被引：0

作者：

Ye, Dan ^{[1
,2
]}

Fan, Quan-Yong ^{[1
]}

Zhao, Xin-Gang ^{[2
]}

Yang, Guang-Hong ^{[1
]}

机构：

[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110189, Liaoning, Peoples R China

[2] Chinese Acad Sci, Shenyang Inst Automat, State Key Lab Robot, Shenyang 110016, Liaoning, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2013年 / 2013卷

基金：

中国国家自然科学基金;

关键词：

ROBUST STABILITY; STATE-FEEDBACK; LINEAR-SYSTEMS; STABILIZATION;

D O I：

10.1155/2013/208263

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is concerned with delay-dependent stochastic stability for time-delay Markovian jump systems (MJSs) with sector-bounded nonlinearities and more general transition probabilities. Different from the previous results where the transition probability matrix is completely known, a more general transition probability matrix is considered which includes completely known elements, boundary known elements, and completely unknown ones. In order to get less conservative criterion, the state and transition probability information is used as much as possible to construct the Lyapunov-Krasovskii functional and deal with stability analysis. The delay-dependent sufficient conditions are derived in terms of linear matrix inequalities to guarantee the stability of systems. Finally, numerical examples are exploited to demonstrate the effectiveness of the proposed method.

引用

页数：9

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