Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (11): 1517-1522 .doi: https://doi.org/10.1007/s10483-006-1109-1

• 论文 • 上一篇    下一篇

GLOBAL EXPONENTIAL STABILITY OF HOPFIELD NEURAL NETWORKS WITH VARIABLE DELAYS AND IMPULSIVE EFFECTS

杨志春, 徐道义   

  • 收稿日期:2004-10-30 修回日期:2006-07-26 出版日期:2006-11-18 发布日期:2006-11-18
  • 通讯作者: 杨志春

GLOBAL EXPONENTIAL STABILITY OF HOPFIELD NEURAL NETWORKS WITH VARIABLE DELAYS AND IMPULSIVE EFFECTS

YANG Zhi-chun, XU Dao-yi   

    1. Mathematics College, Chongqing Normal University, Chongqing 400047, P. R. China;
    2. Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, P. R. China
  • Received:2004-10-30 Revised:2006-07-26 Online:2006-11-18 Published:2006-11-18
  • Contact: YANG Zhi-chun

Abstract: A class of Hopfield neural network with time-varying delays and impulsive effects is concerned. By applying the piecewise continuous vector Lyapunov function some sufficient conditions were obtained to ensure the global exponential stability of impulsive delay neural networks. An example and its simulation are given to illustrate the effectiveness of the results.

Key words: neural networks, impulse, delay, stability

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