Journal of Applied Mathematics
Volume 2012 (2012), Article ID 593780, 22 pages
http://dx.doi.org/10.1155/2012/593780
Research Article

Delay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying Delay

Weihua Mao,1,2 Feiqi Deng,1 and Anhua Wan3

1College of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, China
2Department of Mathematics, South China Agricultural University, Guangzhou 510642, China
3School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, China

Received 25 April 2012; Revised 27 July 2012; Accepted 30 July 2012

Academic Editor: Jitao Sun

Copyright © 2012 Weihua Mao 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

This paper discusses the mean-square exponential stability of uncertain neutral linear stochastic systems with interval time-varying delays. A new augmented Lyapunov-Krasovskii functional (LKF) has been constructed to derive improved delay-dependent robust mean-square exponential stability criteria, which are forms of linear matrix inequalities (LMIs). By free-weight matrices method, the usual restriction that the stability conditions only bear slow-varying derivative of the delay is removed. Finally, numerical examples are provided to illustrate the effectiveness of the proposed method.