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
收藏
页码：694 / 712
页数：19
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