时滞Cohen-Grossberg神经网络的全局稳定性

龙兰; 徐晓惠; 张继业

时滞Cohen-Grossberg神经网络的全局稳定性

龙兰^1,2,
徐晓惠¹,
张继业^1, ,

基金项目:

国家自然科学基金资助项目(1077215250525518)

教育部留学回国人员科研启动基金

详细信息

作者简介:
龙兰(1963- ),女,讲师,研究方向为系统稳定性分析与控制

通讯作者:
张继业(1965- ),教授,博士,研究方向为系统稳定性分析与控制,电话:028-86466040,E-mail: jyzhang@home.swjtu.edu.cn

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- 文章访问数: 2006
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- PDF下载量: 459
- 被引次数: 0
出版历程
- 收稿日期: 2007-07-23
- 刊出日期: 2008-06-25

Global Stability Analysis of Cohen-Grossberg Neural Networks with Unbounded Time Delays

LONG Lan^1,2,
XU Xiaohui¹,
ZHANG Jiye^{1
, ,}

摘要

摘要: 为将神经网络应用于最优化问题的求解,对具有无穷时滞的Cohen-Grossberg神经网络平衡点的存在性、唯一性和全局渐近稳定性进行了探讨.在不假设激活函数有界性、单调性和可微性的情况下,得到了系统平衡点的存在性条件.利用向量Liapunov函数法,构造适当的含有无穷时滞的微分-积分不等式,并分析了微分-积分不等式的稳定性,得到了Cohen-Grossberg神经网络系统全局渐近稳定性的判据.通过判断由神经网络的权系数、自反馈函数以及激励函数构造的矩阵是否为M-矩阵,即可得到Cohen-Grossberg神经网络系统的全局渐近稳定性.最后给出了一个算例,以说明该判据的正确性.
- 神经网络 /
- 时滞 /
- 稳定性
Abstract: In order to apply the neural networks to optimization problems,the conditions ensuring the existence,uniqueness and global asymptotical stability of the equilibrium point of Cohen-Grossberg neural networks(CGNN)with unbounded time delays were investigated.Without assuming the boundedness,monotone and differentiability of the activation functions,the existence condition of the equilibrium point of CGNN was obtained.Using the vector Liapunov function method,the intero-differential inequalities with unbounded time delays were constructed,and the stability of the intero-differential inequalities were analyzed to obtain the criteria for the global asymptotical stability of the equilibrium point.Based on the criteria,the global asymptotic stability of CGNN can be get by judging whether the matrix constructed by the weighed coefficients,self-feedback functions and activation functions of CGNN is an M-matrix.Finally,an example was given to testify the validity of the criteria.
- neural network /
- time delay /
- stability

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参考文献(1)

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文章访问数: 2006
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时滞Cohen-Grossberg神经网络的全局稳定性

作者简介: 龙兰(1963- ),女,讲师,研究方向为系统稳定性分析与控制

通讯作者: 张继业(1965- ),教授,博士,研究方向为系统稳定性分析与控制,电话:028-86466040,E-mail: jyzhang@home.swjtu.edu.cn

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出版历程

Global Stability Analysis of Cohen-Grossberg Neural Networks with Unbounded Time Delays

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出版历程

目录

作者简介:
龙兰(1963- ),女,讲师,研究方向为系统稳定性分析与控制

通讯作者:
张继业(1965- ),教授,博士,研究方向为系统稳定性分析与控制,电话:028-86466040,E-mail: jyzhang@home.swjtu.edu.cn