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.

引用

页码：474 / 486

页数：12

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