Exponential stability theorems for discrete-time impulsive stochastic systems with delayed impulses

被引：18

作者：

Cai, Ting ^{[1
]}

Cheng, Pei ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 02期

基金：

中国国家自然科学基金;

关键词：

FUNCTIONAL-DIFFERENTIAL SYSTEMS; RAZUMIKHIN-TYPE THEOREMS; NEURAL-NETWORKS; VARYING DELAY; STABILIZATION; EQUATIONS; STABILIZABILITY;

D O I：

10.1016/j.jfranklin.2019.12.005

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 pth moment exponential stability and almost sure exponential stability of discrete-time impulsive stochastic systems with delayed impulses. By using Razumikhin technique, several sufficient conditions for the exponential stability of discrete-time impulsive stochastic systems are derived, which extends the corresponding results for discrete-time stochastic systems without impulses. Both the stability results that impulses act as perturbation and the stability results that impulses act as stabilizer are obtained. Three examples and simulations are also presented to illustrate the effectiveness of the obtained results. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1253 / 1279

页数：27

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