Publication detail

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

DIBLÍK, J.

Original Title

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

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

Authors

DIBLÍK, J.

Released

1. 3. 2025

Publisher

AGH UNIV SCIENCE & TECHNOLOGY PRESS

Location

KRAKOW

ISBN

1232-9274

Periodical

Opuscula Mathematica

Year of study

Number

State

Republic of Poland

Pages from

145

Pages to

177

Pages count

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"
}