REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND WITH DELAYS
Identifikátory výsledku
Kód výsledku v 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>
Výsledek na webu
<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>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND WITH DELAYS
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND WITH DELAYS
Popis výsledku anglicky
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.
Klasifikace
Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
10102 - Applied mathematics
Návaznosti výsledku
Projekt
<a href="/cs/project/GA23-06476S" target="_blank" >GA23-06476S: Analýza diskrétních a spojitých dynamických systémů se zřetelem na problematiku identifikace</a><br>
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Ostatní
Rok uplatnění
2025
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
Opuscula Mathematica
ISSN
1232-9274
e-ISSN
2300-6919
Svazek periodika
45
Číslo periodika v rámci svazku
2
Stát vydavatele periodika
PL - Polská republika
Počet stran výsledku
33
Strana od-do
145-177
Kód UT WoS článku
001453643700001
EID výsledku v databázi Scopus
2-s2.0-86000793515