Representation of solutions to a linear matrix discrete equation with single delay

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F26%3A0198093" target="_blank" >RIV/00216305:26620/26:0198093 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0893965925001272?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0893965925001272?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aml.2025.109577" target="_blank" >10.1016/j.aml.2025.109577</a>

Result language
angličtina
Original language name
Representation of solutions to a linear matrix discrete equation with single delay
Original language description
A linear matrix delayed discrete equation () = (- ) + (- )+ (), is considered, where is a fixed positive integer, = 0, 1, ... is a discrete independent variable, () is an x unknown variable matrix, is the first order forward difference, , are given x constant matrices, and () is a given x variable matrix. Using a special matrix function, under some commutativity conditions, formulas are derived, solving an initial problem () = (), = -, -+1, ... , 0, where () is an xvariable matrix. Some connections with previously known results are discussed with open problems suggested for further investigations.
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
10102 - Applied mathematics

Project
<a href="/en/project/GA23-06476S" target="_blank" >GA23-06476S: Analysis of Discrete and Continuous Dynamical Systems with Emphasis on Identification Problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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