Delayed linear difference equations: The method of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mo>Ƶ</mml:mo></mml:math>-transform

Abstract

A system of nonhomogeneous linear difference equations with linear parts given by non-commutative matrices is studied. Representation of its solution is derived by means of newly defined delayed perturbation of discrete matrix exponential using the $\mathcal{Z}$-transform. We discard the invertibility condition of matrix of non delayed term used in recent works related to the representation of solutions for delayed linear difference systems.

Topics & Concepts