具有分布时滞离散Cohen-Grossberg神经网络的周期解(英文)  

Periodic Solutions of Discrete-Time Cohen-Grossberg Neural Networks with Distributed Delays

作　　者：刘启明[1] 徐瑞[1] 王志平[1] 

机构地区：[1]军械工程学院应用数学研究所,河北石家庄050003

出　　处：《生物数学学报》2011年第2期234-246,共13页Journal of Biomathematics

摘　　要：讨论了一类具有分布时滞离散Cohen-Grossberg神经网络模型,利用M-矩阵理论与适合的Lypunov函数,得到该类模型周期解的存在性与全局指数稳定性.A class of discrete-time Cohen-Grossberg neural network with distributed delays are investigated in this paper. By using suitable Lypunov functional and the properties of M--matrix, sufficient conditions to guarantee the uniqueness and global exponential stability of the periodic solution of these networks are established.

关 键 词：COHEN-GROSSBERG神经网络 离散时刻 分布时滞 周期解 全局稳定 

分 类 号：O175.13[理学—数学]