Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 381571, 9 pages
doi:10.1155/2011/381571
Research Article

Delay-Dependent Stability Analysis and Synthesis for Uncertain Impulsive Switched System with Mixed Delays

Naval Aeronautical Engineering Institute Qingdao Branch, Qingdao 266041, China

Received 27 November 2010; Accepted 15 March 2011

Academic Editor: Guang Zhang

Copyright © 2011 Binbin Du and Xiaojie Zhang. 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 studies the asymptotic stability problem for a class of uncertain impulsive switched systems with discrete and distributed delays. Based on Lyapunov functional theory, delay-dependent sufficient LMI conditions are established for the asymptotic stability of the considered systems. Moreover, an appropriate feedback controller is constructed for stabilizing the corresponding closed-loop system. The results are illustrated to be efficient through an example.