Stability analysis of impulsive stochastic functional differential equations

被引：28

作者：

Guo, Yingxin ^{[1
]}

Zhu, Quanxin ^{[2
]}

Wang, Fei ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

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

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2020年 / 82卷

基金：

中国国家自然科学基金;

关键词：

Stochastic neutral equations; Mild solutions; Exponential stability; Impulsive; RAZUMIKHIN-TYPE THEOREMS; MOMENT EXPONENTIAL STABILITY; TO-STATE STABILITY; PTH MOMENT; NEURAL-NETWORKS; P-STABILITY; SYSTEMS; STABILIZATION; JUMP;

D O I：

10.1016/j.cnsns.2019.105013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper discusses both p-th moment and almost sure exponential stability of solutions to stochastic functional differential equations with impulsive by using the Razumikhin-type technique. The main goal is to find some conditions that could be applied to control more easily than using the usual method with Lyapunov functionals. Examples are also given to illustrate the efficiency of the obtained results. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：12

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