Global exponential stability of a class of impulsive cellular neural networks with supremums. (18th October 2013)

• Record Type: Journal Article
• Authors: Stamova, Ivanka; Stamov, Trayan; Li, Xiaodi
• Is Part Of: International journal of adaptive control and signal processing. Volume 28:Number 11(2014:Nov.)
• Page Start: 1227
• Page End: 1239
• Publication Date: 2013-10-18
• Subjects: Adaptive control systems -- Periodicals; Adaptive signal processing -- Periodicals; 629.836
• DOI: 10.1002/acs.2440
• Languages: English
• ISSNs: 0890-6327

Abstract

<abstract abstract-type="main" id="acs2440-abs-0001"> <title>SUMMARY</title> <p id="acs2440-para-0001">In this paper, we study the problem of global exponential stability for impulsive cellular neural networks with time‐varying delays and supremums. Using Young's inequality and Lyapunov‐like functions, new stability criteria are proved. Because supremums and impulses are relevant in various contexts, including problems in the theory of automatic control, our results can be applied in the qualitative investigations of many practical problems of diverse interest. Copyright © 2013 John Wiley &amp; Sons, Ltd.</p> </abstract>