Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 201459, 6 pages
doi:10.1155/2010/201459
Research Article

Stability Criterion for Discrete-Time Systems

K. Ratchagit1 and Vu N. Phat2

1Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai 50290, Thailand
2Department of Optimization and Control, Institute of Mathematics, P.O. Box 631, Bo Ho, Hanoi 10000, Vietnam

Received 21 November 2009; Accepted 18 January 2010

Academic Editor: Jong Kim

Copyright © 2010 K. Ratchagit and Vu N. Phat. 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 is concerned with the problem of delay-dependent stability analysis for discrete-time systems with interval-like time-varying delays. The problem is solved by applying a novel Lyapunov functional, and an improved delay-dependent stability criterion is obtained in terms of a linear matrix inequality.