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
收藏
页码：776 / 789
页数：14
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