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

P. Niamsup and G. Rajchakit

Journal of Applied Mathematics, 2013, vol. 2013, 1-10

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:368259

DOI: 10.1155/2013/368259

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