A note on asymptotic stability conditions for delay difference equations
T. Kaewong,1Y. Lenbury,2and P. Niamsup1
Received26 May 2004
Revised27 Feb 2005
Abstract
We obtain necessary and sufficient conditions for
the asymptotic stability of the linear delay difference equation
xn+1+p∑j=1Nxn−k+(j−1)l=0, where n=0,1,2,…, is a real number, and k, l, and N are positive integers
such that k>(N−1)l.