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

YANG Zhi-chun;XU Dao-yi

doi:10.1007/s10483-006-1109-1

Applied Mathematics and Mechanics >

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

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1. Mathematics College, Chongqing Normal University, Chongqing 400047, P. R. China;
2. Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, P. R. China

Received date: 2004-10-30

Revised date: 2006-07-26

Online published: 2006-11-18

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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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YANG Zhi-chun;XU Dao-yi . GLOBAL EXPONENTIAL STABILITY OF HOPFIELD NEURAL NETWORKS WITH VARIABLE DELAYS AND IMPULSIVE EFFECTS[J]. Applied Mathematics and Mechanics, 2006 , 27(11) : 1517 -1522 . DOI: 10.1007/s10483-006-1109-1

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