Detail publikačního výsledku

General Solution of a Planar Linear Discrete System with a Weak Single Delay in the Case of Single Zero Eigenvalue of the Matrix of Nondelayed Terms

HARTMANOVÁ, M.; DIBLÍK, J.

Originální název

General Solution of a Planar Linear Discrete System with a Weak Single Delay in the Case of Single Zero Eigenvalue of the Matrix of Nondelayed Terms

Anglický název

General Solution of a Planar Linear Discrete System with a Weak Single Delay in the Case of Single Zero Eigenvalue of the Matrix of Nondelayed Terms

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

Considered are linear planar discrete systems with a single delay. It is shown that their solutions can be expressed by explicit formulas given that the matrix of the linear non-delayed terms has two real eigenvalues with exactly one of them equaling zero and that the coefficients of the involved matrices depending on time satisfy certain conditions known for weakly delayed discrete systems with constant coefficients. Formulas derived can be useful in processing digital signals.

Anglický abstrakt

Considered are linear planar discrete systems with a single delay. It is shown that their solutions can be expressed by explicit formulas given that the matrix of the linear non-delayed terms has two real eigenvalues with exactly one of them equaling zero and that the coefficients of the involved matrices depending on time satisfy certain conditions known for weakly delayed discrete systems with constant coefficients. Formulas derived can be useful in processing digital signals.

Klíčová slova

discrete equation; planar system; single delay; initial problem; single zero eigenvalue; explicit solution

Klíčová slova v angličtině

discrete equation; planar system; single delay; initial problem; single zero eigenvalue; explicit solution

Autoři

HARTMANOVÁ, M.; DIBLÍK, J.

Rok RIV

2025

Vydáno

23.04.2024

Nakladatel

Brno University of Technology, Faculty of Electrical Engineering

Místo

Brno

ISBN

978-80-214-6230-4

Kniha

Proceedings II of the 30th Conference STUDENT EEICT 2024

ISSN

2788-1334

Periodikum

Proceedings II of the Conference STUDENT EEICT

Stát

Česká republika

Strany od

343

Strany do

347

Strany počet

5

URL

https://www.eeict.cz/download

BibTex

@inproceedings{BUT188980,
  author="Marie {Hartmanová} and Josef {Diblík}",
  title="General Solution of a Planar Linear Discrete System with a Weak Single Delay in the Case of Single Zero Eigenvalue of the Matrix of Nondelayed Terms",
  booktitle="Proceedings II of the 30th Conference STUDENT EEICT 2024",
  year="2024",
  journal="Proceedings II of the Conference STUDENT EEICT",
  number="1",
  pages="343--347",
  publisher="Brno University of Technology, Faculty of Electrical Engineering",
  address="Brno",
  isbn="978-80-214-6230-4",
  url="https://www.eeict.cz/download"
}