Exponential stability of impulsive stochastic partial differential equations with delays

被引：11

作者：

Li, Dingshi ^{[1
]}

Fan, Xiaoming ^{[1
]}

机构：

[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China

来源：

STATISTICS & PROBABILITY LETTERS | 2017年 / 126卷

基金：

中国国家自然科学基金;

关键词：

Impulsive control; Delays; Stochastic; Exponential stability; EVOLUTION EQUATIONS; MILD SOLUTIONS; FIXED-POINTS;

D O I：

10.1016/j.spl.2017.03.016

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, we are concerned with the exponential stability problem of impulsive control stochastic partial differential equations with delays. By employing the formula for the variation of parameters and inequality technique, several criteria on exponential stability are derived and the exponential convergence rate is estimated. Some examples are given to illustrate the theoretical results and to show that the criteria can be applied to stabilize the continuous system with delays, which may be unstable. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：185 / 192

页数：8

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