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