Representation of solutions of discrete linear delay systems with non permutable matrices

Abstract

We introduce a discrete delayed exponential depending on sequence of matrices. This discrete matrix gives a representation of a solution to the Cauchy problem for a discrete linear system with pure delay with sequence of matrices. We discard the commutativity condition used in recent works related to the representation of solutions for discrete delay linear systems. (C) 2018 Elsevier Ltd. All rights reserved.