一类扩张的细胞神经网络稳定性判别法(英文)  

A Set of Stability Criteria for Blow-UD Cellular Neural Networks

作　　者：柯云泉[1] 

机构地区：[1]绍兴文理学院数学系,绍兴浙江312000

出　　处：《数学进展》2006年第2期201-210,共10页Advances in Mathematics（China）

基　　金：This work is supported by the Natural Science Foundation of Zhejiang Province.

摘　　要：本文研究一类含有阻尼项带有时滞细胞神经网络的全局渐进稳定性和一致稳定性的性质,通过构造适当的李雅普诺夫函数及利用分析的有关知识,给出了全局渐进稳定性和一致稳定的判别法．In this paper, the properties of global asymptotic stability and uniform stability in a class of under-damped delayed cellular neural networks are investigated. By constructing a suitable Lyapounov function, we present a set of general criteria of the global asymptotic stability.Furthermore, a simple and easily checkable condition for uniform stability is obtained by using some analytical techniques.

关 键 词：细胞神经网络 时滞 全局渐进稳定性 一致稳定 

分 类 号：O175.13[理学—数学]