Publication detail

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

POSPÍŠIL, M.

Original Title

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

Type

journal article in Web of Science

Language

English

Original 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

Authors

POSPÍŠIL, M.

Released

1. 2. 2017

ISBN

0096-3003

Periodical

APPLIED MATHEMATICS AND COMPUTATION

Year of study

294

Number

3

State

United States of America

Pages from

180

Pages to

194

Pages count

15

BibTex

@article{BUT128622,
  author="Michal {Pospíšil}",
  title="Representation of solutions of delayed difference equations with linear parts given by pairwise permutable matrices via Z-transform",
  journal="APPLIED MATHEMATICS AND COMPUTATION",
  year="2017",
  volume="294",
  number="3",
  pages="180--194",
  doi="10.1016/j.amc.2016.09.019",
  issn="0096-3003"
}