Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (6): 711-716.

• 论文 • 上一篇    下一篇

GLOBAL ATTRACTIVITY AND GLOBAL EXPONENTIAL STABILITY FOR DELAYED HOPFIELD NEURAL NETWORK MODELS

蒲志林1,2, 徐道义2   

  1. 1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, P.R.China;
    2. Department of Mathematics, Sichuan University, Chengdu 610064, P.R.China
  • 收稿日期:1999-11-23 修回日期:2000-05-16 出版日期:2001-06-18 发布日期:2001-06-18
  • 通讯作者: LIN Zong-chi
  • 基金资助:
    the National Natural Science Foundation of China (19771059);the Science Foundation of the Sichua Education Committee

GLOBAL ATTRACTIVITY AND GLOBAL EXPONENTIAL STABILITY FOR DELAYED HOPFIELD NEURAL NETWORK MODELS

PU Zhi-lin1,2, XU Dao-yi 2   

  1. 1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, P.R.China;
    2. Department of Mathematics, Sichuan University, Chengdu 610064, P.R.China
  • Received:1999-11-23 Revised:2000-05-16 Online:2001-06-18 Published:2001-06-18
  • Supported by:
    the National Natural Science Foundation of China (19771059);the Science Foundation of the Sichua Education Committee

摘要: Some global properties such as global attractivity and global exponential stability for delayed Hopfield neural networks model, under the weaker assumptions on nonlinear activation functions, are concerned. By constructing suitable Liapunov function, some simpler criteria for global attractivity and global exponential stability for Hopfield continuous neural networks with time delays are presented.

Abstract: Some global properties such as global attractivity and global exponential stability for delayed Hopfield neural networks model, under the weaker assumptions on nonlinear activation functions, are concerned. By constructing suitable Liapunov function, some simpler criteria for global attractivity and global exponential stability for Hopfield continuous neural networks with time delays are presented.

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