Detail publikace
REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND WITH DELAYS
DIBLÍK, J.
Originální název
REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND WITH DELAYS
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
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.
Klíčová slova
functions; representation of solutions; commutative matrices; non-commutative; matrices
Autoři
DIBLÍK, J.
Vydáno
1. 3. 2025
Nakladatel
AGH UNIV SCIENCE & TECHNOLOGY PRESS
Místo
KRAKOW
ISSN
1232-9274
Periodikum
Opuscula Mathematica
Ročník
45
Číslo
2
Stát
Polská republika
Strany od
145
Strany do
177
Strany počet
33
URL
BibTex
@article{BUT197813,
author="Josef {Diblík}",
title="REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND WITH DELAYS",
journal="Opuscula Mathematica",
year="2025",
volume="45",
number="2",
pages="145--177",
doi="10.7494/OpMath.2025.45.2.145",
issn="1232-9274",
url="https://www.opuscula.agh.edu.pl/vol45/2/art/opuscula_math_4509.pdf"
}