Journal of Applied Mathematics
Volume 2012 (2012), Article ID 956370, 17 pages
http://dx.doi.org/10.1155/2012/956370
Research Article

Robust Stability of Switched Delay Systems with Average Dwell Time under Asynchronous Switching

Jun Cheng,1 Hong Zhu,1 Shouming Zhong,2,3 and Yuping Zhang1

1School of Automation Engineering, University of Electronic Science and Technology of China, Sichuan, Chengdu 611731, China
2School of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan, Chengdu 611731, China
3Key Laboratory for Neuroinformation of Ministry of Education, University of Electronic Science and Technology of China, Sichuan, Chengdu 611731, China

Received 10 August 2012; Accepted 7 September 2012

Academic Editor: Chong Lin

Copyright © 2012 Jun Cheng 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 of switched delay systems with average dwell time under asynchronous switching is investigated. By taking advantage of the average dwell-time method and an integral inequality, two sufficient conditions are developed to guarantee the global exponential stability of the considered switched system. Finally, a numerical example is provided to demonstrate the effectiveness and feasibility of the proposed techniques.