REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND WITH DELAYS
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F26%3A0197813" target="_blank" >RIV/00216305:26620/26:0197813 - isvavai.cz</a>
Result on the web
<a href="https://www.opuscula.agh.edu.pl/vol45/2/art/opuscula_math_4509.pdf" target="_blank" >https://www.opuscula.agh.edu.pl/vol45/2/art/opuscula_math_4509.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.7494/OpMath.2025.45.2.145" target="_blank" >10.7494/OpMath.2025.45.2.145</a>
Alternative languages
Result language
angličtina
Original language name
REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND WITH DELAYS
Original language description
The paper surveys the results achieved in representing solutions of linear non-homogeneous discrete systems with constant coefficients and with delays and their fractional variants by using special matrices called discrete delayed-type matrices. These are used to express solutions of initial problems in a closed and often simple form. Then, results are briefly discussed achieved by such representations of solutions in stability, controllability and other fields. In addition, a similar topic is dealt with concerning linear non-homogeneous differential equations with delays and their variants. Moreover, some comments are given to this parallel direction pointing some important moments in the developing this theory. An outline of future perspectives in this direction is discussed as well.
Czech name
—
Czech description
—
Classification
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
Result continuities
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)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Opuscula Mathematica
ISSN
1232-9274
e-ISSN
2300-6919
Volume of the periodical
45
Issue of the periodical within the volume
2
Country of publishing house
PL - POLAND
Number of pages
33
Pages from-to
145-177
UT code for WoS article
001453643700001
EID of the result in the Scopus database
2-s2.0-86000793515