Impulsive differential equations: Periodic solutions and applications
Impulsive differential equations: Periodic solutions and applications
复制标题
脉冲微分方程：周期解和应用
DOI：
10.1016/j.automatica.2014.11.009
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发表时间：
2015-02-01
期刊：
影响因子：
6.4
通讯作者：
Wang, Chuan-Kui
中科院分区：
文献类型：
--
作者：
Li, Xiaodi;Bohner, Martin;Wang, Chuan-Kui
本文研究脉冲微分方程的周期解问题。利用李亚普诺夫第二法和收缩映射原理，从脉冲控制和脉冲摄动的角度推导了确保唯一周期解存在和全局吸引力的一些条件。作为一种应用，讨论了 Hopfield 神经网络唯一周期解的存在性和全局吸引力。最后，提供了两个数值例子来证明所提出结果的有效性。 (C) 2014 Elsevier Ltd. 保留所有权利。
This paper deals with the periodic solutions problem for impulsive differential equations. By using Lyapunov's second method and the contraction mapping principle, some conditions ensuring the existence and global attractiveness of unique periodic solutions are derived, which are given from impulsive control and impulsive perturbation points of view. As an application, the existence and global attractiveness of unique periodic solutions for Hopfield neural networks are discussed. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed results. (C) 2014 Elsevier Ltd. All rights reserved.