Exponential stability of neutral stochastic delay differential equation with delay-dependent impulses

被引：32
作者：
Fu, Xiaozheng [2 ]
Zhu, Quanxin [1 ]
机构：
[1] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China
[2] East China Normal Univ, Sch Math Sci, Shanghai 200241, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 377卷
基金：
中国国家自然科学基金;
关键词：
Neutral item; Exponential stability; Stochastic system; Delay-dependent impulses; Time-variant coefficients; Average dwell time; TO-STATE STABILITY; FINITE-TIME STABILITY; NEURAL-NETWORKS; SYSTEMS; STABILIZATION;
D O I：
10.1016/j.amc.2020.125146
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we mainly consider exponential stability (ES) for a type of neutral stochastic delay differential equations with delay-dependent impulses (NSDDEWDI). By means of the average dwell time (ADT) condition, a new sufficient criterion for ES is given. The infinitesimal operator of Lyapunov functions is controlled by two time-variant coefficients. Furthermore, these new conditions are calculated through an example so as to verify the validity of our results. (C) 2020 Elsevier Inc. All rights reserved.
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页数：9
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