Discrete Dynamics in Nature and Society 
Volume 2008 (2008), Article ID 591261, 7 pages
doi:10.1155/2008/591261
Research Article

A Sufficient Condition for Asymptotic Stability of Discrete-Time Interval System with Delay

Wei Zhu

 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

Recommended by Manuel De La Sen

Abstract

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.