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具变时滞和分布时滞的细胞神经网络的全局指数稳定性 被引量：1

Global Exponential Stability of Cellular Neural Networks with Time-varying Delay and Distributed Delays
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摘要 运用Liapunov方法,M-矩阵理论和拓扑度理论研究了一类细胞神经网络的全局指数稳定性,获得了平衡点的存在性唯一性及其全局指数稳定的充分性准则. In this paper, by using the Liapunov- like functional method, M - matrix and topological degree theory, some new sufficient conditions are obtained to ensure the existence, uniqueness and global exponential stability of the equilibrium of cellular neural network with time - varying delay and distributed delay.
作者 朱红英
机构地区 广西师范大学数学科学院
出处 《湘南学院学报》 2008年第5期11-16,共6页 Journal of Xiangnan University
基金 广西科研基金资助项目(200708LX163)
关键词 全局指数稳定性 细胞神经网络 LIAPUNOV函数 拓扑度理论 M-矩阵 global exponential stability cellular neural network distributed delay Liapunov function topological degree M-matrix
分类号 O175.7 [理学—基础数学]
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参考文献11

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湘南学院学报
2008年 第5期

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