Publication detail

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.

Original 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

Type

article in a collection out of WoS and Scopus

Language

English

Original Abstract

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.

Keywords

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

Authors

HARTMANOVÁ, M.; DIBLÍK, J.

Released

20. 6. 2024

Publisher

Univerzita Obrany

Location

Brno

ISBN

978-80-7582-493-6

Pages from

1

Pages to

8

Pages count

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"
}