Exponential stability analysis of impulsive stochastic functional differential systems with delayed impulses

被引：84

作者：

Cheng, Pei ^{[1
]}

Deng, Feiqi ^{[2
]}

Yao, Fengqi ^{[3
]}

机构：

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

[2] S China Univ Technol, Syst Engn Inst, Guangzhou 510640, Guangdong, Peoples R China

[3] Anhui Univ Technol, Sch Elect Engn & Informat, Maanshan 243000, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Impulsive stochastic functional differential systems; Delayed impulse; Exponential stability; Lyapunov function; Razumikhin technique; RAZUMIKHIN-TYPE THEOREMS; ASYMPTOTIC STABILITY; TIME-DELAY; EQUATIONS; STABILIZATION;

D O I：

10.1016/j.cnsns.2013.10.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the exponential stability analysis of impulsive stochastic functional differential systems with delayed impulses. Although the stability of impulsive stochastic functional differential systems have received considerable attention. However, relatively few works are concerned with the stability of systems with delayed impulses and our aim here is mainly to close the gap. Based on the Lyapunov functions and Razumikhin techniques, some exponential stability criteria are derived, which show that the system will stable if the impulses' frequency and amplitude are suitably related to the increase or decrease of the continuous flows. The obtained results improve and complement ones from some recent works. Three examples are discussed to illustrate the effectiveness and the advantages of the results obtained. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：2104 / 2114

页数：11

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