Global exponential stability analysis of a general class of hopfield neural networks with distributed delays

Authors:
Chaojin Fu;Wei Liu;Meng Yang
Affiliations:
College of Mathematics and Statistics, Hubei Normal University;College of Mathematics and Statistics, Hubei Normal University;School of Mathematics and Physics, Huangshi Institute of Technology, Huangshi, China
Venue:
ICSI'10 Proceedings of the First international conference on Advances in Swarm Intelligence - Volume Part II
Year:
2010

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Abstract

In this paper, based on contraction mapping principle and differential inequality technique, we investigate global exponential stability of a general class of Hopfield neural networks with distributed delays. Some sufficient conditions are derived which ensure the existence, uniqueness, global exponential stability of equilibrium point of the neural networks. Finally, an example is given to illustrate advantages of our approach.