Delay-dependent asymptotic stability for neural networks with time-varying delays

Liao, Xiaofeng; Yang, Xiaofan; Zhang, Wei

doi:https://doi.org/10.1155/DDNS/2006/91725

Discrete Dynamics in Nature and Society

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Volume 2006 | Article ID 091725 | https://doi.org/10.1155/DDNS/2006/91725

Delay-dependent asymptotic stability for neural networks with time-varying delays

Xiaofeng Liao,^1,2Xiaofan Yang,^1,2and Wei Zhang³

Received03 Aug 2005

Accepted06 Nov 2005

Published06 Jul 2006

Abstract

We study the dynamical behavior of a class of neural network models with time-varying delays. By constructing suitable Lyapunov functionals, we obtain sufficient delay-dependent criteria to ensure local and global asymptotic stability of the equilibrium of the neural network. Our results are applied to a two-neuron system with delayed connections between neurons, and some novel asymptotic stability criteria are also derived. The obtained conditions are shown to be less conservative and restrictive than those reported in the known literature. Some numerical examples are included to demonstrate our results.

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Copyright

Copyright © 2006 Xiaofeng Liao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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