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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 916357, 11 pages
http://dx.doi.org/10.1155/2013/916357
Research Article

BIBO Stabilization of Discrete-Time Stochastic Control Systems with Mixed Delays and Nonlinear Perturbations

1School of Mathematics and Computational Science, Fuyang Teachers College, Fuyang 236037, China
2Department of Mathematics, Anhui Normal University, Wuhu 241000, China
3College of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China

Received 19 March 2013; Revised 23 May 2013; Accepted 6 June 2013

Academic Editor: Sakthivel Rathinasamy

Copyright © 2013 Xia Zhou et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The problem of bounded-input bounded-output (BIBO) stabilization in mean square for a class of discrete-time stochastic control systems with mixed time-varying delays and nonlinear perturbations is investigated. Some novel delay-dependent stability conditions for the previously mentioned system are established by constructing a novel Lyapunov-Krasovskii function. These conditions are expressed in the forms of linear matrix inequalities (LMIs), whose feasibility can be easily checked by using MATLAB LMI Toolbox. Finally, a numerical example is given to illustrate the validity of the obtained results.