Discrete Dynamics in Nature and Society
Volume 2008 (2008), Article ID 591261, 7 pages
A Sufficient Condition for Asymptotic Stability of Discrete-Time Interval System with Delay
Institute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
Received 4 September 2007; Revised 24 November 2007; Accepted 7 January 2008
Academic Editor: Manuel De La Sen
Copyright © 2008 Wei Zhu. 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.
The asymptotic stability of discrete-time interval
system with delay is discussed. A new sufficient condition for preserving the
asymptotic stability of the system is presented by means of the inequality
techniques. By mathematical analysis, the stability criterion is less conservative
than that in previous result. Finally, one example is given to demonstrate
the applicability of the present scheme.