New Results on Robust Stability and Stabilization of Linear Discrete-Time Stochastic Systems with Convex Polytopic Uncertainties. (19th May 2013)

• Record Type: Journal Article
• Authors: Niamsup, P.; Rajchakit, G.
• Other Names: Chen Rung Ching Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2013(2013)
• Publication Date: 2013-05-19
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2013/368259
• Languages: English
• ISSNs: 1110-757X

Abstract

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.