Global asymptotical stability in neutral-type delayed neural networks with reaction-diffusion terms

Authors:
Jianlong Qiu;Jinde Cao
Affiliations:
Department of Mathematics, Southeast University, Nanjing, China;Department of Mathematics, Southeast University, Nanjing, China
Venue:
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
Year:
2006

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Abstract

In this paper, the global uniform asymptotical stability is studied for delayed neutral-type neural networks by constructing appropriate Lyapunov functional and using the linear matrix inequality (LMI) approach. The main condition given in this paper is dependent on the size of the measure of the space, which is usually less conservative than space-independent ones. Finally, a numerical example is provided to demonstrate the effectiveness and applicability of the proposed criteria.