pth Moment stability of impulsive stochastic delay differential systems with Markovian switching

被引：55

作者：

Wu, Xiaotai ^{[1
]}

Zhang, Wenbing ^{[2
]}

Tang, Yang ^{[3
,4
,5
]}

机构：

[1] Anhui Polytech Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China

[2] Hong Kong Polytech Univ, Inst Text & Clothing, Hong Kong, Hong Kong, Peoples R China

[3] Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150080, Peoples R China

[4] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany

[5] Potsdam Inst Climate Impact Res, D-14415 Potsdam, Germany

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2013年 / 18卷 / 07期

基金：

中国博士后科学基金;

关键词：

Impulsive stochastic delay differential systems; pth Moment stability; Markovian switching; GLOBAL EXPONENTIAL STABILITY; NEURAL-NETWORKS; EQUATIONS; STABILIZATION;

D O I：

10.1016/j.cnsns.2012.12.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the pth moment stability of impulsive stochastic delay differential systems with Markovian switching. By using the Razumikhin-type method, some stability criteria are obtained, which can loosen the constraints of the existing results and thus reduce the conservativeness. Two examples are presented to demonstrate the usefulness of the proposed results. (C) 2012 Elsevier B. V. All rights reserved.

引用

页码：1870 / 1879

页数：10

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