Abstract and Applied Analysis
Volume 2009 (2009), Article ID 294845, 18 pages
doi:10.1155/2009/294845
Research Article

Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed Delays

Zixin Liu,1,2 Shu Lü,1 Shouming Zhong,1 and Mao Ye3

1School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, China
2School of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang 550004, China
3School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China

Received 1 March 2009; Revised 5 August 2009; Accepted 1 September 2009

Academic Editor: Wolfgang Ruess

Copyright © 2009 Zixin Liu 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 robust stability for a class of neutral control systems with mixed delays is investigated. Based on Lyapunov stable theory, by constructing a new Lyapunov-Krasovskii function, some new stable criteria are obtained. These criteria are formulated in the forms of linear matrix inequalities (LMIs). Compared with some previous publications, our results are less conservative. Simulation examples are presented to illustrate the improvement of the main results.