Exponential stability and instability of impulsive stochastic functional differential equations with Markovian switching

被引：54

作者：

Kao, Yonggui ^{[1
]}

Zhu, Quanxin ^{[2
,3
]}

Qi, Wenhai ^{[4
]}

机构：

[1] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China

[3] Nanjing Normal Univ, Inst Finance & Stat, Nanjing 210023, Jiangsu, Peoples R China

[4] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 271卷

基金：

中国国家自然科学基金;

关键词：

Impulsive; Stochastic functional differential equation; Markovian switching; Exponential stability; Instability; RAZUMIKHIN-TYPE THEOREMS; PTH MOMENT STABILITY; REACTION-DIFFUSION SYSTEMS; GROSSBERG NEURAL-NETWORKS; ASYMPTOTIC STABILITY; GLOBAL STABILITY; DELAYS; CRITERIA;

D O I：

10.1016/j.amc.2015.09.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on the Lyapunov second method and Razurnikin techniques, we establish some novel criteria on pth moment exponential stability, almost exponential stability and instability of impulsive stochastic functional differential equations (ISFDEs) with Markovian switching. The findings show that impulsive stochastic functional equations with Markovian switching can be exponentially stabilized by impulses. Finally, an example is presented to illustrate the effectiveness and efficiency of the obtained results. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：795 / 804

页数：10

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