Detail publikačního výsledku

Representation of solutions to a linear matrix discrete equation with single delay

DIBLÍK, J.

Originální název

Representation of solutions to a linear matrix discrete equation with single delay

Anglický název

Representation of solutions to a linear matrix discrete equation with single delay

Druh

Článek WoS

Originální abstrakt

A linear matrix delayed discrete equation () = (- ) + (- )+ (), is considered, where is a fixed positive integer, = 0, 1, ... is a discrete independent variable, () is an x unknown variable matrix, is the first order forward difference, , are given x constant matrices, and () is a given x variable matrix. Using a special matrix function, under some commutativity conditions, formulas are derived, solving an initial problem () = (), = -, -+1, ... , 0, where () is an xvariable matrix. Some connections with previously known results are discussed with open problems suggested for further investigations.

Anglický abstrakt

A linear matrix delayed discrete equation () = (- ) + (- )+ (), is considered, where is a fixed positive integer, = 0, 1, ... is a discrete independent variable, () is an x unknown variable matrix, is the first order forward difference, , are given x constant matrices, and () is a given x variable matrix. Using a special matrix function, under some commutativity conditions, formulas are derived, solving an initial problem () = (), = -, -+1, ... , 0, where () is an xvariable matrix. Some connections with previously known results are discussed with open problems suggested for further investigations.

Klíčová slova

Discrete matrix equation; Matrix solution; Single delay; Explicit formula; Representation of solutions

Klíčová slova v angličtině

Discrete matrix equation; Matrix solution; Single delay; Explicit formula; Representation of solutions

Autoři

DIBLÍK, J.

Vydáno

01.09.2025

Periodikum

Applied Mathematics Letters

Svazek

168

Číslo

109577

Stát

Spojené státy americké

Strany od

1

Strany do

5

Strany počet

5

URL

https://www.sciencedirect.com/science/article/pii/S0893965925001272?via%3Dihub

BibTex

@article{BUT198093,
  author="Josef {Diblík}",
  title="Representation of solutions to a linear matrix discrete equation with single delay",
  journal="Applied Mathematics Letters",
  year="2025",
  volume="168",
  number="109577",
  pages="1--5",
  doi="10.1016/j.aml.2025.109577",
  issn="0893-9659",
  url="https://www.sciencedirect.com/science/article/pii/S0893965925001272?via%3Dihub"
}