Copyright © 2011 M. M. Kipnis and V. V. Malygina. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We construct a stability cone, which allows us to analyze the stability of the
matrix delay difference equation . We assume that and are
simultaneously triangularizable matrices. We construct points in which are
functions of eigenvalues of matrices , such that the equation is asymptotically stable
if and only if all the points lie inside the stability cone.