Volume no :2, Issue no: 1, August (2009)

Journal of Pure and Applied Mathematics: Advances and Applications

ASYMPTOTIC STABILITY OF DELAY-DIFFERENCE SYSTEM WITH MULTIPLE DELAYS OF HOPFIELD NEURAL NETWORKS VIA MATRIX INEQUALITIES

Author's: Kreangkri Ratchagit
Pages: [49] - [59]
Received Date: June 4, 2009
Submitted by:

Abstract

In this paper, we derive a sufficient condition for asymptotic stability of the zero solution of delay-difference system with multiple delays of Hopfield neural networks in terms of certain matrix inequalities by using a discrete version of the Lyapunov second method.

Keywords

asymptotic stability, delay-difference system with multiple delays, Hopfield neural networks, Lyapunov function, matrix inequalities.