Asymptotic stability of delay-difference system of Hopfield neural networks via matrix inequalities and application
In this paper, we derive a sufficient condition for asymptotic stability of the zero solution of delay-difference 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 system such as delay-difference system of Hopfield neural networks with multiple delays in terms of certain matrix inequalities. Our results can be well suited for computational purposes.
asymptotic stability delay-difference system hopfield neural networks matrix inequalities lyapunov function