一类具变时滞的模糊BAM神经网络的平衡点的指数稳定性(英文)  

Existence and Global Exponential Stability of Equilibrium Point for a Class of Fuzzy BAM Neural Networks with Time-Varying Delays

作　　者：李永昆[1] 杨莉[1] 吴万勤[1] 

机构地区：[1]云南大学数学系,云南昆明650091

出　　处：《生物数学学报》2010年第1期13-23,共11页Journal of Biomathematics

基　　金：National Natural Sciences Foundation of People's Republic of China under Grant (10971183).

摘　　要：研究一类具变时滞的模糊BAM神经网络.利用拓扑度论和微分不等式,获得了该类网络平衡点的存在性、唯一性和全局指数稳定性的充分条件.一个例子用来解释本文获得的结果.In this paper, a class of fuzzy BAM neural networks with time-varying delays are investigated. By using topological degree theory and differential inequality, we obtain some sufficient conditions for the existence, uniqueness and global exponential stability of equilibrium point for a class of fuzzy BAM neural networks with time-varying delays. Moreover, we also present an illustrative example to show the effectiveness of obtained results.

关 键 词：BAM神经网络 指数稳定性 平衡点 拓扑度 微分不等式 

分 类 号：O175.13[理学—数学]