Razumikhin-type theorem for pth exponential stability of impulsive stochastic functional differential equations based on vector Lyapunov function

被引：57

作者：

Cao, Wenping ^{[1
,2
]}

Zhu, Quanxin ^{[1
]}

机构：

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

[2] Chengdu Univ, Sch Informat Sci & Engn, Chengdu 610106, Peoples R China

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2021年 / 39卷

基金：

中国国家自然科学基金;

关键词：

Stabilization; Razumikhin-type technique; Vector Lyapunov function; Impulsive system; Stochastic functional differential equation; Average dwell-time method; TO-STATE STABILITY; SYSTEMS; MOMENT; STABILIZATION; CRITERIA;

D O I：

10.1016/j.nahs.2020.100983

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with the pth moment exponential stability of stochastic functional differential equations with impulses. Based on average dwell-time method, Razumikhin-type technique and vector Lyapunov function, some novel stability criteria are obtained for impulsive stochastic functional differential systems. Two examples are given to demonstrate the validity of the proposed results. (c) 2020 Elsevier Ltd. All rights reserved.

引用

页数：10

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