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.
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页码：1 / 15
页数：15
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