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
收藏
页码：111 / 129
页数：19
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