Delay-Dependent Criteria for Robust Stabilization of Markovian Switching Networks with Time-Varying Delay

被引：3

作者：

Sathananthan, S. ^{[1
]}

Beane, C. ^{[1
]}

Keel, L. H. ^{[1
]}

机构：

[1] Tennessee State Univ, CSSR, Nashville, TN 37209 USA

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2009年 / 27卷 / 04期

关键词：

Markov chain; Markovian switching systems; Stochastic stability; Time-varying systems; EXPONENTIAL STABILITY; NONLINEAR-SYSTEMS; LINEAR-SYSTEMS; EQUATIONS;

D O I：

10.1080/07362990902976249

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. Delay-dependent sufficient conditions for stability based on linear matrix inequalities (LMI's) for stochastic asymptotic stability is obtained. The stability result depended on the mode of the system and of delay-dependent. The robustness results of such stability concept against all admissible uncertainties are also investigated. This new delay-dependent stability criteria is less conservative than the existing delay-independent stability conditions. An example is given to demonstrate the obtained results.

引用

页码：694 / 712

页数：19

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