Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 347129, 16 pages
Research Article

Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay

College of Computer, Pan Zhi Hua University, Panzhihua 617000, China

Received 29 July 2010; Accepted 31 October 2010

Academic Editor: Jianshe Yu

Copyright © 2010 Jun Li 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.


This paper deals with the problem of delay-dependent stability criterion of arbitrary switched linear systems with time-varying delay. Based on switched quadratic Lyapunov functional approach and free-weighting matrix approach, some linear matrix inequality criterions are found to guarantee delay-dependent asymptotically stability of these systems. Simultaneously, arbitrary switched linear system can be expressed as a problem of uncertain liner system, so some delay-dependent stability criterions are obtained with the result of uncertain liner system. Two examples illustrate the exactness of the proposed criterions.