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
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Date
2024
Authors
Hartmanová, Marie
Diblík, Josef
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Mark
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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.
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Proceedings I of the 30st Conference STUDENT EEICT 2024: General papers. s. 343-347. ISBN 978-80-214-6231-1
https://www.eeict.cz/eeict_download/archiv/sborniky/EEICT_2024_sbornik_1.pdf
https://www.eeict.cz/eeict_download/archiv/sborniky/EEICT_2024_sbornik_1.pdf
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Peer-reviewed
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en
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© Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních technologií