文章基本信息

标题：Global exponential stability of impulsive cellular neural networks with time-varying delays via fixed point theory
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作者：Yutian Zhang ; Qi Luo
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：23
DOI：10.1186/1687-1847-2013-23
语种：English
出版社：Hindawi Publishing Corporation
摘要：This work is devoted to studying the application of fixed point theory to the stability analysis of complex neural networks. We employ the new method of contraction mapping principle to investigate the stability of impulsive cellular neural networks with time-varying delays. Some novel and concise sufficient conditions are presented to ensure the existence and uniqueness of a solution and the global exponential stability of the considered system at the same time. These conditions are easily checked and do not require the differentiability of delays.
关键词：neural network ; fixed point ; global exponential stability ; delay ; impulse