Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 2011; 48(4): 725-736

Printed July 1, 2011

https://doi.org/10.4134/BKMS.2011.48.4.725

Copyright © The Korean Mathematical Society.

New result concerning mean square exponential stability of uncertain stochastic delayed Hopfield neural networks

Chuanzhi Bai

Huaiyin Normal University

Abstract

By using the Lyapunov functional method, stochastic analysis, and LMI (linear matrix inequality) approach, the mean square exponential stability of an equilibrium solution of uncertain stochastic Hopfield neural networks with delayed is presented. The proposed result generalizes and improves previous work. An illustrative example is also given to demonstrate the effectiveness of the proposed result.

Keywords: stochastic Hopfield neural networks, mean square exponential stability, linear matrix inequality

MSC numbers: Primary 34F05, 60H10, 93D09