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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
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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.
作者 柯云泉
机构地区 绍兴文理学院数学系
出处 《数学进展》 CSCD 北大核心 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.
关键词 细胞神经网络 时滞 全局渐进稳定性 一致稳定 cellular neural networks delay global asymptotic stability uniform stability
分类号 O175.13 [理学—基础数学]
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参考文献15

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同被引文献17

  • 1Chua, L.O. & Yang L., Cellular neural networks: Theory, IEEE Trans. Cir cuits Syst, 1988, 35: 1257-1272.
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数学进展
2006年 第2期

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