Stability analysis for impulsive stochastic delay differential equations with Markovian switching

被引：26
|
作者：
Li, Bing [1 ,2 ]
Li, Dingshi [2 ]
Xu, Daoyi [2 ]
机构：
[1] Chongqing Jiaotong Univ, Coll Sci, Chongqing 400074, Peoples R China
[2] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 07期
关键词：
EXPONENTIAL STABILITY; MOMENT STABILITY; NEURAL-NETWORKS; LINEAR-SYSTEMS; JUMP;
D O I：
10.1016/j.jfranklin.2013.05.009
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We investigate an impulsive stochastic delay differential equation with Markovian switching. Based on a set of novel L-operator inequalities with finite modes and stochastic analysis techniques, some sufficient criteria ensuring the p-moment stability of the zero solution are obtained. Two examples are given to demonstrate the efficiency of proposed results. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1848 / 1864
页数：17
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