Mean square robust stability of stochastic switched discrete-time systems with convex polytopic uncertainties
Major of Mathematics and Statistics, Faculty of Science, Maejo University, Chiangmai, 50290, Thailand
Journal of Inequalities and Applications 2012, 2012:135 doi:10.1186/1029-242X-2012-135Published: 12 June 2012
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.