Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 28960, 17 pages
doi:10.1155/2007/28960
Research Article
Delay-Dependent Asymptotic Stability of Cohen-Grossberg Models with Multiple Time-Varying Delays
1School of Computer Science and Information, Chongqing Jiaotong University, Chongqing 400074, China
2Department of Computer Science and Engineering, Chongqing University, Chongqing 400044, China
Received 4 November 2006; Accepted 1 March 2007
Copyright © 2007 Xiaofeng Liao and Songtao Guo. 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.
Abstract
Dynamical behavior of a class of Cohen-Grossberg models with multiple time-varying delays is studied in detail. Sufficient delay-dependent criteria to ensure local and global asymptotic stabilities of the equilibrium of this network are derived by constructing suitable Lyapunov functionals. 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.