Mean square robust stability of stochastic switched discrete-time systems with convex polytopic uncertainties

Journal of inequalities and applications

M Rajchakit¹ 

关键词: switching design;    convex polytopic uncertainties;    stochastic switched discrete system;    mean square robust stability;    Lyapunov function;    linear matrix inequality.;   

DOI  :  10.1186/1029-242X-2012-135

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This article is concerned with mean square robust stability of stochastic switched discrete time-delay systems with convex polytopic uncertainties. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete Lyapunov functional, a switching rule for the mean square robust stability for the stochastic switched system with convex polytopic uncertainties is designed via linear matrix inequalities. Numerical examples are included to illustrate the effectiveness of the results.

【 授权许可】

CC BY