Detail publikačního výsledku

General Solutions to Linear Discrete Two-dimensional Systems with Constant Coefficients - the Case of both Eigenvalues of the Matrix of Nondelayed Terms being Zeros with the Conditions Characterizing Weakly Delayed Systems Satisfied

HARTMANOVÁ, M.; DIBLÍK, J.

Originální název

General Solutions to Linear Discrete Two-dimensional Systems with Constant Coefficients - the Case of both Eigenvalues of the Matrix of Nondelayed Terms being Zeros with the Conditions Characterizing Weakly Delayed Systems Satisfied

Anglický název

General Solutions to Linear Discrete Two-dimensional Systems with Constant Coefficients - the Case of both Eigenvalues of the Matrix of Nondelayed Terms being Zeros with the Conditions Characterizing Weakly Delayed Systems Satisfied

Druh

Stať ve sborníku mimo WoS a Scopus

Originální abstrakt

Linear discrete two-dimensional systems y(n+1) = Gy(n)+My(n−r), n ≥ 0 are considered, where the 2 by 2 constant matrices G and M satisfy the conditions known for so-called weakly delayed systems. The system has a single delay represented by a positive integer r, n is an independent variable and y in an unknown two dimensional vector function defined for all n = −r,−r + 1,... . It is assumed that both eigenvalues of G equal zero and the entries of 2 by 2 matrix M satisfy the conditions characterizing weakly delayed systems. Formulas are derived for solutions of initial problems.

Anglický abstrakt

Linear discrete two-dimensional systems y(n+1) = Gy(n)+My(n−r), n ≥ 0 are considered, where the 2 by 2 constant matrices G and M satisfy the conditions known for so-called weakly delayed systems. The system has a single delay represented by a positive integer r, n is an independent variable and y in an unknown two dimensional vector function defined for all n = −r,−r + 1,... . It is assumed that both eigenvalues of G equal zero and the entries of 2 by 2 matrix M satisfy the conditions characterizing weakly delayed systems. Formulas are derived for solutions of initial problems.

Klíčová slova

weakly delayed system; discrete equation; single delay; initial problem; zero eigenvalues; general solution

Klíčová slova v angličtině

weakly delayed system; discrete equation; single delay; initial problem; zero eigenvalues; general solution

Autoři

HARTMANOVÁ, M.; DIBLÍK, J.

Rok RIV

2025

Vydáno

20.06.2024

Nakladatel

Univerzita Obrany

Místo

Brno

ISBN

978-80-7582-493-6

Strany od

1

Strany do

8

Strany počet

8

URL

https://mitav.unob.cz/data/final%20Program%20MITAV%202024.pdf

BibTex

@inproceedings{BUT188979,
  author="Marie {Hartmanová} and Josef {Diblík}",
  title="General Solutions to Linear Discrete Two-dimensional Systems with Constant Coefficients - the Case of both Eigenvalues of the Matrix of Nondelayed Terms being Zeros with the Conditions Characterizing Weakly
Delayed Systems Satisfied",
  year="2024",
  pages="1--8",
  publisher="Univerzita Obrany",
  address="Brno",
  isbn="978-80-7582-493-6",
  url="https://mitav.unob.cz/data/final%20Program%20MITAV%202024.pdf"
}