Stability of sets for impulsive functional differential equations via Razumikhin method

被引：0
|
作者：
Xie S. [1 ]
Shen J. [2 ]
机构：
[1] Department of Mathematics, Hunan Normal University, Changsha
[2] Department of Mathematics, College of Huaihua, Huaihua
来源：
Journal of Mathematical Sciences | 2011年 / 177卷 / 3期
基金：
中国国家自然科学基金;
关键词：
Lyapunov Function; Uniform Stability; Uniform Asymptotic Stability; Impulsive Perturbation; Impulsive Delay;
D O I：
10.1007/s10958-011-0473-9
中图分类号：
学科分类号：
摘要：
In this paper, we consider the functional differential equation with impulsive perturbations {x′(t) = f(t, xt), t≥ t0, t ≠ tk, x ∈ ℝn, Δx(t) = Ik,(t,x(t-)), t = tk, k ∈ ℤ+. Criteria on uniform asymptotic stability of sets are established for the above system using Lyapunov functions and the Razumikhin technique. Some examples are also discussed to illustrate the theorems. © 2011 Springer Science+Business Media, Inc.
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页码：474 / 486
页数：12
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