Strict stability of impulsive functional differential equations
Strict stability of impulsive functional differential equations
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DOI：
10.1016/j.jmaa.2004.07.018
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发表时间：
2005
影响因子：
1.3
通讯作者：
Yu Zhang;Jitao Sun
中科院分区：
文献类型：
--
作者：
Yu Zhang;Jitao Sun
严格稳定性是一种稳定性，它可以给我们一些关于解的衰减率的信息。已有一些关于微分方程解的严格稳定性的结果。在本文中，我们将把严格稳定性推广到脉冲泛函微分方程。利用Lyapunov函数和Razumikhin技巧，我们得到了脉冲泛函微分方程严格稳定的一些判据，并且可以看到脉冲确实对系统的严格稳定行为有贡献。
Strict stability is the kind of stability that can give us some information about the rate of decay of the solutions. There are some results about strict stability of differential equations. In the present paper, we shall extend the strict stability to impulsive functional differential equations. By using Lyapunov functions and Razumikhin technique, we shall get some criteria for the strict stability of impulsive functional differential equations, and we can see that impulses do contribute to the system's strict stability behavior.