Detail publikace

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

Typ

článek ve sborníku mimo WoS a Scopus

Jazyk

angličtina

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.

Klíčová slova

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

Autoři

HARTMANOVÁ, M.; DIBLÍK, J.

Vydáno

20. 6. 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"
}