New Results on Global Exponential Stability of Impulsive Functional Differential Systems with Delayed Impulses

被引：4

作者：

Cheng, Pei ^{[1
]}

Wu, Zheng ^{[1
]}

Wang, Lianglong ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

基金：

中国国家自然科学基金;

关键词：

RAZUMIKHIN-TYPE THEOREMS; UNIFORM ASYMPTOTIC STABILITY; INFINITE DELAY; TIME-DELAY; EQUATIONS; STABILIZATION; EXISTENCE; BOUNDEDNESS;

D O I：

10.1155/2012/376464

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the Lyapunov functions and the Razumikhin techniques, the exponential stability of impulsive functional differential systems with delayed impulses is investigated. The obtained results have shown that the system will stable if the impulses' frequency and amplitude are suitably related to the increase or decrease of the continuous flows, and they improve and complement ones from some recent works. An example is provided to illustrate the effectiveness and the advantages of the results obtained.

引用

页数：13

共 37 条

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