Existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays
Existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays
复制标题
连续分布时滞脉冲Cohen-Grossberg型BAM神经网络周期解的存在性及全局指数稳定性
DOI：
10.1016/j.amc.2009.05.005
复制
发表时间：
2009-09-01
影响因子：
4
通讯作者：
Li, Xiaodi
中科院分区：
文献类型：
--
作者：
Li, Xiaodi
研究了一类具有连续分布时滞的脉冲Cohen-Grossberg型BAM神经网络周期解的存在性和全局指数稳定性。通过构造适当的李雅普诺夫函数和一个新的微分不等式，得到了保证周期解存在和全局指数稳定的充分条件。该方法也可用于研究具有有限分布时滞的脉冲Cohen-Grossberg型BAM神经网络。本文的结果推广和改进了以前的文献。最后，给出了两个数值模拟的例子来证明所得到的结果。(C)2009 Elsevier Inc. All rights reserved.
This paper is concerned with the existence and global exponential stability of periodic solution for a class of impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays. Some sufficient conditions ensuring the existence and global exponential stability of periodic solution are derived by constructing a suitable Lyapunov function and a new differential inequality. The proposed method can also be applied to study the impulsive Cohen-Grossberg-type BAM neural networks with finite distributed delays. The results in this paper extend and improve the earlier publications. Finally, two examples with numerical simulations are given to demonstrate the obtained results. (C) 2009 Elsevier Inc. All rights reserved.