Stability of hybrid stochastic functional differential equations

被引：12

作者：

Ruan, Dehao ^{[1
,2
,3
]}

Xu, Liping ^{[1
,4
]}

Luo, Jiaowan ^{[1
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Dept Probabil & Stat, Guangzhou 510006, Guangdong, Peoples R China

[2] Guangzhou Int Inst Finance, Guangzhou 510405, Guangdong, Peoples R China

[3] Guangzhou Univ, Guangzhou 510405, Guangdong, Peoples R China

[4] Yangtze Univ, Sch Informat & Math, Jingzhou 434023, Hubei, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 346卷

基金：

中国国家自然科学基金;

关键词：

DEPENDENT ROBUST STABILITY; EXPONENTIAL STABILITY; NEURAL-NETWORKS; DELAY; SYSTEMS; CRITERIA;

D O I：

10.1016/j.amc.2018.03.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a class of hybrid stochastic functional differential equations is investigated. Under some suitable assumptions, the pth moment stability, asymptotic stability and exponential stability are discussed by means of constructing an auxiliary functional differential equation and using the comparison principle. The proposed criteria removes some conditions in some earlier publications. Moreover, two examples and simulations are given to illustrate our results. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：832 / 841

页数：10

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