Detail publikačního výsledku

General Solution of Linear Planar Weakly Delayed Discrete Systems with Multiple Delays and with a Singular Matrix of Non-delayed Terms

HARTMANOVÁ, M.; DIBLÍK, J.

Originální název

General Solution of Linear Planar Weakly Delayed Discrete Systems with Multiple Delays and with a Singular Matrix of Non-delayed Terms

Anglický název

General Solution of Linear Planar Weakly Delayed Discrete Systems with Multiple Delays and with a Singular Matrix of Non-delayed Terms

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

A planar weakly delayed linear discrete system with multiple delays is considered. Assuming that the conditions for weakly delayed systems are fulfilled, the general solution of the system is constructed in the previously not considered case of the matrix of nondelayed terms having a single nonzero eigenvalue with the second one being zero. Then, there exists a non-delayed planar discrete system that, for all sufficiently large values of the independent variable, has the same general solution. New findings are illustrated with an example and discussed in relation to the previously known investigations. The formulas derived can be useful in digital signal processing.

Anglický abstrakt

A planar weakly delayed linear discrete system with multiple delays is considered. Assuming that the conditions for weakly delayed systems are fulfilled, the general solution of the system is constructed in the previously not considered case of the matrix of nondelayed terms having a single nonzero eigenvalue with the second one being zero. Then, there exists a non-delayed planar discrete system that, for all sufficiently large values of the independent variable, has the same general solution. New findings are illustrated with an example and discussed in relation to the previously known investigations. The formulas derived can be useful in digital signal processing.

Klíčová slova

system of discrete equations; linear system; multiple delays; initial problem; single zero eigenvalue; formula for general solution

Klíčová slova v angličtině

system of discrete equations; linear system; multiple delays; initial problem; single zero eigenvalue; formula for general solution

Autoři

HARTMANOVÁ, M.; DIBLÍK, J.

Vydáno

29.04.2025

Nakladatel

Brno University of Technology

Místo

Brno

ISBN

9788021463219

Kniha

Proceedings II of the Conference Student EEICT

Edice

1

ISSN

2788-1334

Periodikum

Proceedings II of the Conference STUDENT EEICT

Svazek

1

Číslo

1

Stát

Česká republika

Strany od

331

Strany do

335

Strany počet

5

URL

https://www.eeict.cz/eeict_download/archiv/sborniky/EEICT_2025_sbornik_1.pdf

BibTex

@inproceedings{BUT198702,
  author="Marie {Hartmanová} and Josef {Diblík}",
  title="General Solution of Linear Planar Weakly Delayed Discrete Systems with Multiple Delays and with a
Singular Matrix of Non-delayed Terms",
  booktitle="Proceedings II of the Conference Student EEICT",
  year="2025",
  series="1",
  journal="Proceedings II of the Conference STUDENT EEICT",
  volume="1",
  number="1",
  pages="331--335",
  publisher="Brno University of Technology",
  address="Brno",
  isbn="9788021463219",
  issn="2788-1334",
  url="https://www.eeict.cz/eeict_download/archiv/sborniky/EEICT_2025_sbornik_1.pdf"
}