Impulsive control for differential systems with delay. (23rd July 2012)

• Record Type: Journal Article
• Authors: Wang, Huali; Ding, Changming
• Is Part Of: Mathematical methods in the applied sciences. Volume 36:Number 8(2013:May 30)
• Page Start: 967
• Page End: 973
• Publication Date: 2012-07-23
• Subjects: Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.2653
• Languages: English
• ISSNs: 0170-4214

Abstract

<abstract abstract-type="main" id="mma2653-abs-0001"> <title> <x xml:space="preserve">Abstract</x> </title> <p id="mma2653-para-0001">This paper deals with the impulsive control for a class of differential systems with delay. Using Lyapunov functions and the comparison principle, we present some sufficient conditions for the asymptotic stability and exponential stability of impulsive control systems with delay. Moreover, we give an estimate of the upper bound of impulse interval. The results in this paper extend and improve the earlier publications. Copyright © 2012 John Wiley &amp; Sons, Ltd.</p> </abstract>