Delay-Dependent Asymptotic Stability of Cohen-Grossberg Models with Multiple Time-Varying Delays

Xiaofeng Liao and Songtao Guo

Discrete Dynamics in Nature and Society, 2007, vol. 2007, 1-17

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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:028960

DOI: 10.1155/2007/28960

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