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一类变时滞复数Cohen-Grossberg神经网络的动态行为分析

徐晓惠 宋乾坤 张继业 施继忠 赵玲

徐晓惠, 宋乾坤, 张继业, 施继忠, 赵玲. 一类变时滞复数Cohen-Grossberg神经网络的动态行为分析[J]. 应用数学和力学, 2017, 38(12): 1389-1398. doi: 10.21656/1000-0887.380015
引用本文: 徐晓惠, 宋乾坤, 张继业, 施继忠, 赵玲. 一类变时滞复数Cohen-Grossberg神经网络的动态行为分析[J]. 应用数学和力学, 2017, 38(12): 1389-1398. doi: 10.21656/1000-0887.380015
XU Xiao-hui, SONG Qian-kun, ZHANG Ji-ye, SHI Ji-zhong, ZHAO Ling.. Dynamical Behavior Analysis of a Class of Complex-Valued Neural Networks With Time-Varying Delays[J]. Applied Mathematics and Mechanics, 2017, 38(12): 1389-1398. doi: 10.21656/1000-0887.380015
Citation: XU Xiao-hui, SONG Qian-kun, ZHANG Ji-ye, SHI Ji-zhong, ZHAO Ling.. Dynamical Behavior Analysis of a Class of Complex-Valued Neural Networks With Time-Varying Delays[J]. Applied Mathematics and Mechanics, 2017, 38(12): 1389-1398. doi: 10.21656/1000-0887.380015

一类变时滞复数Cohen-Grossberg神经网络的动态行为分析

doi: 10.21656/1000-0887.380015
基金项目: 国家自然科学基金(11402214;51375402;11572264;61773004); 四川省青年科技创新研究团队(2017TD0035;2017TD0026;2015TD0021;2016HH0010); 四川省教育厅自然科学重点项目(17ZA0364); 浙江省自然科学基金(LY14E08006); 教育部“春晖计划”合作科研项目(Z2014075);重庆创新团队项目(CXTDX201601022)
详细信息
    作者简介:

    徐晓惠(1982—), 女, 副教授, 博士(E-mail: xhxu@163.com);宋乾坤(1963—), 男, 教授, 博士(通讯作者. E-mail: qiankunsong@163.com);张继业(1965—), 男, 教授, 博士(E-mail: jyzhang@home.swjtu.edu.cn);施继忠(1977—), 男, 讲师, 博士(E-mail: shijizhong@zjnu.cn);赵玲(1973—), 女, 副教授, 硕士(E-mail: zl1705@163.com).

  • 中图分类号: O175

Dynamical Behavior Analysis of a Class of Complex-Valued Neural Networks With Time-Varying Delays

Funds: The National Natural Science Foundation of China(11402214;51375402;11572264;61773004)
  • 摘要: 研究了一类具有变时滞的复数域Cohen-Grossberg神经网络平衡点的动态行为.在假定激活函数满足Lipschitz条件并且放大函数只满足具有下界的情况下, 利用M矩阵和同胚映射原理, 得到了确保该系统平衡点的存在性和唯一性的充分条件.基于矢量Lyapunov函数法和不等式技术, 得到了确保该系统平衡点的模指数稳定性的判据.该判据形式简单, 在实际应用时便于检验.该文所取得的研究成果推广了现有结论.最后通过给出一个数值算例和仿真结果验证了所得结论的正确性和可行性.
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出版历程
  • 收稿日期:  2017-01-11
  • 修回日期:  2017-11-02
  • 刊出日期:  2017-12-15

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