Delay-dependent stability and stabilization of uncertain discrete-time Markovian jump singular systems with time delay

被引：7

作者：

Ma, Shuping ^{[2
,3
]}

Liu, Xinzhi ^{[1
,4
]}

Zhang, Chenghui ^{[1
]}

机构：

[1] Shandong Univ, Sch Control & Engn, Jinan 250061, Peoples R China

[2] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China

[3] Shandong Univ, Sch Comp Sci & Technol, Jinan 250100, Peoples R China

[4] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

来源：

ANZIAM JOURNAL | 2007年 / 49卷

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

discrete Markovian jump singular system; time-delay system; delay-dependent; linear matrix inequality (LMI); robust stochastic stability and stabilization;

D O I：

10.1017/S1446181100012712

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses robust stochastic stability and stabilization of time-delay discrete Markovian jump singular systems with parameter uncertainties. Based on the restricted system equivalent (RES) transformation, a delay-dependent linear matrix inequalities condition for time-delay discrete-time Markovian jump singular systems to be regular, causal and stochastically stable is established. With this condition, problems of robust stochastic stability and stabilization are solved, and delay-dependent linear matrix inequalities are obtained. A numerical example is also given to illustrate the effectiveness of this method.

引用

页码：111 / 129

页数：19

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