Stability of functional differential equations with impulses
Stability of functional differential equations with impulses
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DOI：
10.1016/j.jmaa.2006.05.071
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发表时间：
2007-04
影响因子：
1.3
通讯作者：
Kaien Liu;Xilin Fu
中科院分区：
文献类型：
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作者：
Kaien Liu;Xilin Fu
本文研究了脉冲泛函微分方程解的稳定性。给出了几个比较定理。使用了状态变量x的部分分量的几个Lyapunov-Razumikhin函数，它们可以更容易地构造，从而确保稳定性的条件更简单和限制更少。所得结果改进和推广了文献中的结果。文中还给出了一个算例，说明了所得结果的重要性。
In this paper, the stability of functional differential equations (FDE) with impulses is investigated. Some comparison theorems are given. Several Lyapunov–Razumikhin functions of partial components of the state variable x, which can be much easier constructed, are used so that the conditions ensuring that stability are simpler and less restrictive. The results improve and generalize the ones in the literature. An example is also given to illustrate the importance of our results.