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一类扩张的细胞神经网络稳定性判别法(英文)     被引量:3

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

文献类型:期刊文献

中文题名:一类扩张的细胞神经网络稳定性判别法(英文)

英文题名:A Set of Stability Criteria for Blow-UD Cellular Neural Networks

作者:柯云泉[1]

机构:[1]绍兴文理学院数学系

年份:2006

卷号:35

期号:2

起止页码:201

中文期刊名:数学进展

外文期刊名:Advances in Mathematics

收录:CSTPCD、、北大核心2004、CSCD2011_2012、北大核心、CSCD

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

语种:中文

中文关键词:细胞神经网络;时滞;全局渐进稳定性;一致稳定

外文关键词:cellular neural networks; delay; global asymptotic stability; uniform stability

中文摘要: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.

外文摘要: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.

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