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**Delay-dependent asymptotic stability of Cohen-Grossberg models with multiple time-varying delays.**
*(English)*
Zbl 1146.37365

Summary: 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.

### MSC:

37N25 | Dynamical systems in biology |

92B20 | Neural networks for/in biological studies, artificial life and related topics |

34K20 | Stability theory of functional-differential equations |

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\textit{X. Liao} and \textit{S. Guo}, Discrete Dyn. Nat. Soc. 2007, Article ID 28960, 17 p. (2007; Zbl 1146.37365)

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