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

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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

2010 MSC Number: 

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