Impulsive stabilization of functional differential equations via Liapunov functionals

被引：52

作者：

Shen, JH ^{[1
]}

Luo, ZG

Liu, XZ

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

[2] Univ Waterloo, Dept Appl Math, Fac Math, Waterloo, ON N2L 3G1, Canada

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1999年 / 240卷 / 01期

关键词：

stability; impulsive differential equation; Liapunov functional;

D O I：

10.1006/jmaa.1999.6551

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the impulsive stabilization problems for a class of impulsive functional differential equation of the form x'(t) = f(t, x(t)), t greater than or equal to t(0), Delta x = I-k(t, x(t(-))), t=t(k), k epsilon Z(+). Our method is based on the application of the Liapunov second method together with Liapunov functionals. (C) 1999 Academic Press.

引用

页码：1 / 15

页数：15

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