Mean square exponential stability of impulsive control stochastic systems with time-varying delay

被引：60

作者：

Xu, Liguang ^{[1
]}

Xu, Daoyi ^{[1
]}

机构：

[1] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China

来源：

PHYSICS LETTERS A | 2009年 / 373卷 / 03期

关键词：

Impulsive control; Stochastic; Time delay; Mean square exponential stability;

D O I：

10.1016/j.physleta.2008.11.029

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter, we are concerned with the mean square exponential stability problem of an impulsive control stochastic system with time-varying delay. By employing the formula for the variation of parameters and estimating the Cauchy matrix, several criteria on mean square exponential stability are derived and the exponential convergence rate is estimated. The obtained criteria can be applied to stabilize the unstable continuous stochastic system by utilizing impulsive control. Two examples are also discussed to illustrate the efficiency of the obtained results. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：328 / 333

页数：6

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