Detail publikačního výsledku

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

Anglický název

REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND WITH DELAYS

Druh

Článek WoS

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.

Anglický 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

Klíčová slova v angličtině

functions; representation of solutions; commutative matrices; non-commutative; matrices

Autoři

DIBLÍK, J.

Rok RIV

2026

Vydáno

01.03.2025

Periodikum

Opuscula Mathematica

Svazek

45

Číslo

2

Stát

Polská republika

Strany od

145

Strany do

177

Strany počet

33

URL

https://www.opuscula.agh.edu.pl/vol45/2/art/opuscula_math_4509.pdf

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"
}