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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
Type
article in a collection out of WoS and Scopus
Language
English
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.
Keywords
discrete equation; planar system; single delay; initial problem; single zero eigenvalue; explicit solution
Authors
HARTMANOVÁ, M.; DIBLÍK, J.
Released
23. 4. 2024
Publisher
Brno University of Technology, Faculty of Electrical Engineering
Location
Brno
ISBN
978-80-214-6231-1
Book
Proceedings I of the 30 th Conference STUDENT EEICT 2024
Edition number
1
Pages from
343
Pages to
347
Pages count
5
URL
https://www.eeict.cz/eeict_download/archiv/sborniky/EEICT_2024_sbornik_1.pdf
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 I of the 30 th Conference STUDENT EEICT 2024", year="2024", number="1", pages="343--347", publisher="Brno University of Technology, Faculty of Electrical Engineering", address="Brno", isbn="978-80-214-6231-1", url="https://www.eeict.cz/eeict_download/archiv/sborniky/EEICT_2024_sbornik_1.pdf" }