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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F17%3APU120480" target="_blank" >RIV/00216305:26620/17:PU120480 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.amc.2016.09.019" target="_blank" >http://dx.doi.org/10.1016/j.amc.2016.09.019</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2016.09.019" target="_blank" >10.1016/j.amc.2016.09.019</a>

Result language
angličtina
Original language name
Representation of solutions of delayed difference equations with linear parts given by pairwise permutable matrices via Z-transform
Original language description
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.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA16-08549S" target="_blank" >GA16-08549S: Dynamical Systems Identification on Time Scales</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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