Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 28960, 17 pages
doi:10.1155/2007/28960
Delay-dependent asymptotic stability of Cohen-Grossberg models with multiple time-varying delays
Xiaofeng Liao1
and Songtao Guo2
1School of Computer Science and Information, Chongqing Jiaotong University, Chongqing 400074, China
2Department of Computer Science and Engineering, Chongqing University, Chongqing 400044, China
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.