OSCILLATION OF THREE DIMENSIONAL NEUTRAL DELAYDIFFERENCE SYSTEMS

This paper deals with the some oscillation criteria for the three dimensional neutral delay difference system of the form Δ xn+pnxn-k =bnynα Δ yn =cn znβ Δ(zn)=-anxn-l+1γ , n=1,2,…, Examples illustrating the results are inserted.

ASYMPTOTIC STABILITY OF NONLINEAR DELAY-DIFFERENCE SYSTEM 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 nonlinear delay-difference system in terms of certain matrix inequalities by using a discrete version of the Lyapunov second method. The result is applied to obtain new stability condition in terms of certain matrix inequalities for some class of nonlinear delay-difference system such as delay-difference system of nonlinear delay-difference system with multiple delays in terms of certain matrix inequalities. Our results can be well suited for computational purposes.

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.