Feedback stabilization of Markov jump linear systems with time-varying delay

被引：20
|
作者：
Sathananthan, S. [1 ]
Adetona, O. [2 ]
Beane, C. [1 ]
Keel, L. H. [1 ]
机构：
[1] Tennessee State Univ, CSSR, Nashville, TN 37209 USA
[2] United Technol Corp, Res Ctr, E Hartford, CT USA
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2008年 / 26卷 / 03期
基金：
美国国家科学基金会;
关键词：
Markov chain; Markovian switching systems; stochastic stability; time-varying delay;
D O I：
10.1080/07362990802007152
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A problem of feedback stabilization of hybrid systems with time-varying delay and Markovian switching is considered. Sufficient conditions for stability based on linear matrix inequalities (LMIs) for stochastic asymptotic stability is obtained. The stability result depended on the mode of the system and of delay-independent. The robustness results of such stability concept against all admissible uncertainties are also investigated. An example is given to demonstrate the obtained results.
引用
收藏
页码：577 / 594
页数：18
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