Mean-square Exponential Stability of Impulsive Stochastic Time-delay Systems with Delayed Impulse Effects

被引：5
|
作者：
Wang, Dandan [1 ]
Gao, Lijun [1 ]
Cai, Yingying [1 ]
机构：
[1] Qufu Normal Univ, Dept Automat, Rizhao 276826, Shandong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2016年 / 14卷 / 03期
关键词：
Delayed impulse; impulsive systems; LMIs; Ruzumikhin-type method; stochastic time-delay systems; NETWORKED CONTROL-SYSTEMS; JUMP;
D O I：
10.1007/s12555-014-0468-7
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the mean-square exponential stability problem for a class of impulsive stochastic systems with delayed impulses. The delays exhibit in both continuous subsystem and discrete subsystem. By constructing piecewise time-varying Lyapunov functions and Razumikhin technique, sufficient conditions are derived which guarantee the mean-square exponential stability for impulsive stochastic delay system. It is shown that the obtained stability conditions depend both on the lower bound and the upper bound of impulsive intervals, and the stability of system is robust with regard to sufficiently small impulse input delays. Finally, two examples are proposed to verify the efficiency of the proposed results.
引用
收藏
页码：673 / 680
页数：8
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