Representation of solutions of delayed difference equations with linear parts given by pairwise permutable matrices via Z-transform

Michal Pospíšil

Applied Mathematics and Computation, 2017, vol. 294, issue C, 180-194

Abstract: In the present paper, a system of nonhomogeneous linear difference equations with any finite number of constant delays and linear parts given by pairwise permutable matrices is considered. Representation of its solution is derived in a form of a matrix polynomial using the Z-transform. So the recent results for one and two delays, and an inductive formula for multiple delays are unified. The representation is suitable for theoretical as well as practical computations.

Keywords: Discrete system; Z-transform; Multiple delays; Matrix polynomial (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:294:y:2017:i:c:p:180-194

DOI: 10.1016/j.amc.2016.09.019

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