Exponential Stability of Impulsive Stochastic Delay Differential Systems

被引：8

作者：

Wu, Xiaotai ^{[1
,2
]}

Yan, Litan ^{[1
]}

Zhang, Wenbing ^{[3
]}

Chen, Liang ^{[3
]}

机构：

[1] Donghua Univ, Dept Math, Shanghai 201620, Peoples R China

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

[3] Donghua Univ, Sch Informat Sci & Technol, Shanghai 201620, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2012年 / 2012卷

基金：

中国国家自然科学基金;

关键词：

MOMENT STABILITY; EQUATIONS; NETWORKS; SYNCHRONIZATION; STABILIZATION;

D O I：

10.1155/2012/296136

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates the stability of stochastic delay differential systems with two kinds of impulses, that is, destabilizing impulses and stabilizing impulses. Both the pth moment and almost sure exponential stability criteria are established by using the average impulsive interval. When the impulses are regarded as disturbances, a lower bound of average impulsive interval is obtained; it means that the impulses should not happen too frequently. On the other hand, when the impulses are used to stabilize the system, an upper bound of average impulsive interval is derived; namely, enough impulses are needed to stabilize the system. The effectiveness of the proposed results is illustrated by two examples.

引用

页数：15

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