Exponential stability of impulsive discrete systems with time delays

被引：26
|
作者：
Zhang, Yu [1 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Exponential stability; Discrete system; Delay; Impulse; Lyapunov functional; NEURAL-NETWORKS;
D O I：
10.1016/j.aml.2012.06.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to investigate the global exponential stability of impulsive discrete systems with time delays. By using Lyapunov functionals, a number of new global exponential stability criteria are provided. It is shown that a discrete system with time delays can be globally exponentially stabilized by impulses even if it may be unstable itself. Some examples are also presented to illustrate the effectiveness and the superiority of the obtained results. (c) 2012 Elsevier Ltd. All rights reserved.
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页码：2290 / 2297
页数：8
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