Stabilization of stochastic functional differential systems with delayed impulses

被引：29

作者：

Fu, Xiaozheng ^{[1
,2
,3
]}

Zhu, Quanxin ^{[1
]}

Guo, Yingxin ^{[4
]}

机构：

[1] Hunan Normal Univ, Coll Math & Stat, Key Lab HPC SIP MOE, Changsha 410081, Hunan, 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] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 346卷 / 776-789期

基金：

中国国家自然科学基金;

关键词：

Stabilization; Stochastic functional differential systems; Delayed impulses; Average dwell time method; Time-varying coefficients; TO-STATE STABILITY; VALUED NEURAL-NETWORKS; EXPONENTIAL STABILITY; EQUATIONS; MODEL;

D O I：

10.1016/j.amc.2018.10.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the stabilization problem for a class of stochastic functional differential system with delayed impulses. By applying a generalized comparison principle and the average dwell time method, some sufficient criteria for input-to-state stable (ISS) type and exponential stability properties are derived. The coefficients of the upper bound for the diffusion operator of Lyapunov functions are allowed to be time-varying, which improves the existing results greatly. Two numerical examples are presented to illustrate the effectiveness of the proposed results. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：776 / 789

页数：14

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