New Results on Robust Stability and Stabilization of Linear Discrete-Time Stochastic Systems with Convex Polytopic Uncertainties

被引：11
|
作者：
Niamsup, P. [1 ,2 ]
Rajchakit, G. [3 ]
机构：
[1] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand
[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand
[3] Maejo Univ, Fac Sci, Div Math & Stat, Chiang Mai 50290, Thailand
来源：
JOURNAL OF APPLIED MATHEMATICS | 2013年
关键词：
EXPONENTIAL STABILITY; DELAY SYSTEMS;
D O I：
10.1155/2013/368259
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper addresses the robust stability for a class of linear discrete-time stochastic systems with convex polytopic uncertainties. The system to be considered is subject to both interval time-varying delays and convex polytopic type uncertainties. Based on the augmented parameter-dependent Lyapunov-Krasovskii functional, new delay-dependent conditions for the robust stability are established in terms of linear matrix inequalities. An application to robust stabilization of linear discrete-time stochastic control systems is given. Numerical examples are included to illustrate the effectiveness of our results.
引用
收藏
页数：10
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