Journal of Applied Mathematics
Volume 2013 (2013), Article ID 360170, 7 pages
http://dx.doi.org/10.1155/2013/360170
Research Article

A Stability Condition with Delay-Dependence for a Class of Switched Large-Scale Time-Delay Systems

Chi-Jo Wang and Juing-Shian Chiou

Department of Electrical Engineering, Southern Taiwan University of Science and Technology, No. 1 NanTai Street, Yongkang District, Tainan City, Taiwan

Received 4 February 2013; Revised 2 April 2013; Accepted 3 April 2013

Academic Editor: Han H. Choi

Copyright © 2013 Chi-Jo Wang and Juing-Shian Chiou. 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

By using the time-switched method and the comparison theorem, we derived a criterion of delay-dependent stability for the switched large-scale time-delay systems. To guarantee the exponential stability for the switched large-scale time-delay systems with stability margin , the total activation time ratio of the switching law is determined. An example is used to illustrate the effectiveness of our result.