Global exponential robust stability of delayed hopfield neural networks with reaction-diffusion terms

Authors:
Xiaohui Xu;Jiye Zhang;Weihua Zhang
Affiliations:
Traction Power State Key Laboratory, Southwest Jiaotong University, Chengdu, China;Traction Power State Key Laboratory, Southwest Jiaotong University, Chengdu, China;Traction Power State Key Laboratory, Southwest Jiaotong University, Chengdu, China
Venue:
ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part I
Year:
2010

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Abstract

Some conditions ensuring existence, uniqueness for a class of delayed interval Hopfield neural networks with reaction-diffusion terms are proposed in this paper Applying vector Lyapunov function and M-matrix theory, the global exponential robust stability of the system is studied The obtained conditions containing diffusion terms improve the conservative of the previous results An illustrated example shows how to use our results in practice.