Discrete Dynamics in Nature and Society

Discrete Dynamics in Nature and Society / 2005 / Article

Open Access

Volume 2005 |Article ID 235712 | 17 pages | https://doi.org/10.1155/DDNS.2005.1

Global stability of delayed Hopfield neural networks under dynamical thresholds

Received16 Jul 2004


We study dynamical behavior of a class of cellular neural networks system with distributed delays under dynamical thresholds. By using topological degree theory and Lyapunov functions, some new criteria ensuring the existence, uniqueness, global asymptotic stability, and global exponential stability of equilibrium point are derived. In particular, our criteria generalize and improve some known results in the literature.

Copyright © 2005 Hindawi Publishing Corporation. 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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