一类变时延细胞神经网络的全局指数稳定性  

Globally exponential stability for a class of cellular neural networks with time-varying delay

作　　者：管俊彪[1] 

机构地区：[1]浙江师范大学数学系,浙江金华321004

出　　处：《宝鸡文理学院学报（自然科学版）》2005年第2期104-106,共3页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

摘　　要：讨论了一类具有可变时延的细胞神经网络的平衡点的存在性及全局指数稳定性,利用Brouwer不动点定理和推广的Halanaly时延微分不等式,构造合适的Lyapunov函数,获得了该神经网络全局指数稳定的简单实用的判别条件。一个例子说明了它的应用。The existence of equilibrium point and globally exponential stability for a class of cellular neural networks with time-varying delay are investigated. By Brouwer's fixed theorem and extended Halanay's delay differential inequality, constructing suitable Lyapunov functionals, some results which are very easy to use are obtained. One example illustrates its application.

关 键 词：细胞神经网络 全局指数稳定性 平衡点 LYAPUNOV函数 

分 类 号：O175.12[理学—数学]