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
Authors: Hartmanová, Marie ; Diblík, Josef
Document type: Papers
Language: eng
Publisher: Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních technologií
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; explicit solution; initial problem; planar system; single delay; single zero eigenvalue
Host item entry: Proceedings I of the 30st Conference STUDENT EEICT 2024: General papers, ISBN 978-80-214-6231-1, ISSN 2788-1334

Institution: Brno University of Technology (web)
Document availability information: Fulltext is available in the Brno University of Technology Digital Library.
Original record: https://hdl.handle.net/11012/249264

Permalink: http://www.nusl.cz/ntk/nusl-622517


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