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

Xiaofeng Liao | Zendy; Songtao Guo | Zendy

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

Author(s) -

Xiaofeng Liao,

Songtao Guo

Publication year - 2007

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2007/28960

Subject(s) - class (philosophy) , exponential stability , mathematics , stability (learning theory) , lyapunov function , control theory (sociology) , computer science , physics , nonlinear system , artificial intelligence , control (management) , quantum mechanics , machine learning

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

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