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时变时滞细胞神经网络的周期运动的稳定性

郑伟范 龙兰 张继业 张卫华

郑伟范, 龙兰, 张继业, 张卫华. 时变时滞细胞神经网络的周期运动的稳定性[J]. 西南交通大学学报, 2008, 21(2): 222-226.
引用本文: 郑伟范, 龙兰, 张继业, 张卫华. 时变时滞细胞神经网络的周期运动的稳定性[J]. 西南交通大学学报, 2008, 21(2): 222-226.
ZHENG Weifan, LONG Lan, ZHANG Jiye, ZHANG Weihua. Stability of Recurrent Cellular Neural Networks with Variable Time Delays[J]. Journal of Southwest Jiaotong University, 2008, 21(2): 222-226.
Citation: ZHENG Weifan, LONG Lan, ZHANG Jiye, ZHANG Weihua. Stability of Recurrent Cellular Neural Networks with Variable Time Delays[J]. Journal of Southwest Jiaotong University, 2008, 21(2): 222-226.

时变时滞细胞神经网络的周期运动的稳定性

基金项目: 

国家自然基金资助项目(1077215250525518)

教育部留学回国人员科研启动基金

详细信息
    作者简介:

    郑伟范(1973- ),男,讲师,硕士,研究方向为系统稳定性与控制,E-mail:zwfchuan@21cn.com

    通讯作者:

    张继业(1965- ),男,教授,博士,研究方向为神经网络、系统稳定性与控制,电话:028-86466040, E-mail:jyzhang@home.swjtu.edu.cn

Stability of Recurrent Cellular Neural Networks with Variable Time Delays

  • 摘要: 利用M-矩阵理论和矢量Lyapunov函数方法,研究变时滞周期运动细胞神经网络的全局指数稳定性.在放松该类神经网络激活函数的有界性、单调递增性、可微性及Lipschitz连续等条件下,得到了该类神经网络周期解的存在性与全局指数稳定的代数判据.该判据基于神经网络激活函数满足的条件,利用连接权值矩阵及阻尼系数矩阵构造测试矩阵,根据测试矩阵是否为M-矩阵判定系统周期解的存在性与全局指数稳性.

     

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出版历程
  • 收稿日期:  2006-10-12
  • 刊出日期:  2008-04-25

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