RAZUMIKHIN-TYPE THEOREMS FOR ASYMPTOTIC STABILITY OF IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL SYSTEMS

被引：46

作者：

Cheng, Pei ^{[1
]}

Deng, Feiqi ^{[1
]}

Dai, Xisheng ^{[1
]}

机构：

[1] S China Univ Technol, Syst Engn Inst, Guangzhou 510640, Guangdong, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE AND SYSTEMS ENGINEERING | 2010年 / 19卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Stochastic functional differential systems; Impulse; Razumikhin theorems; Asymptotic stability; P-MOMENT STABILITY; EXPONENTIAL STABILITY; EQUATIONS; EXISTENCE;

D O I：

10.1007/s11518-010-5126-x

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 [运筹学与控制论]; 120117 [社会管理工程];

摘要：

In this paper, we investigate the pth moment uniformly asymptotic stability of impulsive stochastic functional differential systems by extending some Razumikhin-type theorems. Based on the Lyapunov functions and Razumikhin techniques, some criteria are established and their applications to impulsive stochastic delay systems are proposed. An illustrative example shows the effectiveness of our results.

引用

页码：72 / 84

页数：13

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