Publication result detail

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.

Original 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

English 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

Type

Paper in proceedings (conference paper)

Original Abstract

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.

English abstract

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.

Keywords

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

Key words in English

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

Authors

HARTMANOVÁ, M.; DIBLÍK, J.

RIV year

2025

Released

23.04.2024

Publisher

Brno University of Technology, Faculty of Electrical Engineering

Location

Brno

ISBN

978-80-214-6230-4

Book

Proceedings II of the 30th Conference STUDENT EEICT 2024

ISBN

2788-1334

Periodical

Proceedings II of the Conference STUDENT EEICT

State

Czech Republic

Pages from

343

Pages to

347

Pages count

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"
}