Exponential stability of impulsive discrete-time systems with infinite delays

被引：5

作者：

Lin, Yu ^{[1
]}

Zhang, Yu ^{[1
]}

机构：

[1] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2018年 / 49卷 / 16期

基金：

中国国家自然科学基金;

关键词：

Stability; Lyapunov functions; Razumikhin technique; impulsive discrete-time systems; infinite delays; FUNCTIONAL-DIFFERENTIAL EQUATIONS; NEURAL-NETWORKS; DISTRIBUTED DELAYS; STABILIZATION; FINITE;

D O I：

10.1080/00207721.2018.1536233

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the exponential stability of impulsive discrete-time systems with infinite delays. Some sufficient conditions are obtained to guarantee the exponential stability of the considered systems by employing Lyapunov functions together with Razumikhin technique. Finally, three numerical examples are given to illustrate the effectiveness and superiority of the obtained results. It is the first time that the exponential stability of impulsive discrete-time systems with infinite delays is studied, the obtained results complement some recent works.

引用

页码：3272 / 3283

页数：12

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