New criteria on exponential stability of impulsive stochastic delayed differential systems with infinite delays

被引：14

作者：

Xu, Haofeng ^{[1
]}

Zhu, Quanxin ^{[1
,2
]}

机构：

[1] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China

[2] Hunan Normal Univ, Coll Hunan Prov, Key Lab Control & Optimizat Complex Syst, Changsha 410081, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2022年 / 111卷

基金：

中国国家自然科学基金;

关键词：

Stochastic delayed differential system; Infinite delay; Exponential stability; Impulsive; Razumikhin technique; TO-STATE STABILITY; RAZUMIKHIN-TYPE THEOREMS; EQUATIONS;

D O I：

10.1016/j.cnsns.2022.106460

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates pth moment exponential stability of impulsive stochastic delayed differential systems with infinite delays. The main idea is to construct a positive function q(t) that is determined by the infinite delay. Results show that initially unstable systems are able to be stable with the impulse effects if the frequency and intensity are suitable. In the meanwhile, the corollaries give several sufficient conditions on the stability of systems in specific circumstances correspondingly. Finally, two numerical examples are performed to account for the effectiveness of the theoretical results. (C) 2022 Elsevier B.V. All rights reserved.

引用

页数：9

共 28 条

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