Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2012; 49(6): 1193-1198

Printed November 30, 2012

https://doi.org/10.4134/BKMS.2012.49.6.1193

Copyright © The Korean Mathematical Society.

Global stability analysis for a class of Cohen-Grossberg neural network models

Yingxin Guo

Qufu Normal University

Abstract

By constructing suitable Lyapunov functionals and combining with matrix inequality technique, a new simple sufficient condition is presented for the global asymptotic stability of the Cohen-Grossberg neural network models. The condition contains and improves some of the previous results in the earlier references.

Keywords: delay differential equations, Lyapunov functionals, matrix inequality, global asymptotic stability

MSC numbers: 34K20, 34K13, 92B20