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具有无穷时滞的细胞神经网络的全局稳定性分析

张继业

张继业. 具有无穷时滞的细胞神经网络的全局稳定性分析[J]. 应用数学和力学, 2004, 25(6): 627-634.
引用本文: 张继业. 具有无穷时滞的细胞神经网络的全局稳定性分析[J]. 应用数学和力学, 2004, 25(6): 627-634.
ZHANG Ji-ye. Global Stability Analysis in Cellular Neural Networks With Unbounded Time Delays[J]. Applied Mathematics and Mechanics, 2004, 25(6): 627-634.
Citation: ZHANG Ji-ye. Global Stability Analysis in Cellular Neural Networks With Unbounded Time Delays[J]. Applied Mathematics and Mechanics, 2004, 25(6): 627-634.

具有无穷时滞的细胞神经网络的全局稳定性分析

基金项目: 国家自然科学基金资助项目(10272091)
详细信息
    作者简介:

    张继业(1965- ),男,四川夹江人,教授,博士(Tel:+86-28-87634355.Fax:+86-28-87600868;E-mail:jyzhang@home.swjtu.edu.cn).

  • 中图分类号: O317;TP711

Global Stability Analysis in Cellular Neural Networks With Unbounded Time Delays

  • 摘要: 对具有无穷时滞的细胞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分析.在放弃了激活函数的有界性、单调性和可微性假设的情况下,得到了系统的平衡点的存在性条件.利用向量Liapunov函数法的思想,构造适当的含有变时滞和无穷时滞的微分-积分不等式,通过对微分-积分不等式的稳定性分析,得到了神经网络系统的全局渐近稳定的充分条件.
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出版历程
  • 收稿日期:  2002-02-28
  • 修回日期:  2003-12-05
  • 刊出日期:  2004-06-15

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