The novel sufficient condition for stability of discrete-time control system of neural networks

Abstract

In this paper, we derive a sufficient condition for asymptotic stability of the zero solution of delay-difference control system of Hopfield neural networks in terms of certain matrix inequalities by using a discrete version of the Lyapunov second method. The result is applied to obtain new asymptotic stability condition for some class of delay-difference control system such as delay-difference control system of Hopfield neural networks with multiple delays in terms of certain matrix inequalities. Our results can be well suited for computational purposes. © 2010-11 by IJAMAS, CESER Publications.