General Solution of Linear Planar Weakly Delayed Discrete Systems with Multiple Delays and with a Singular Matrix of Non-delayed Terms

but.event.date29.04.2025cs
but.event.titleSTUDENT EEICT 2025cs
dc.contributor.authorHartmanová, Marie
dc.contributor.authorDiblík, Josef
dc.date.accessioned2025-08-06T13:05:47Z
dc.date.available2025-08-06T13:05:47Z
dc.date.issued2025cs
dc.description.abstractA planar weakly delayed linear discrete system with multiple delays is considered. Assuming that the conditions for weakly delayed systems are fulfilled, the general solution of the system is constructed in the previously not considered case of the matrix of nondelayed terms having a single nonzero eigenvalue with the second one being zero. Then, there exists a non-delayed planar discrete system that, for all sufficiently large values of the independent variable, has the same general solution. New findings are illustrated with an example and discussed in relation to the previously known investigations. The formulas derived can be useful in digital signal processing.en
dc.formattextcs
dc.format.extent331-335cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationProceedings I of the 31st Conference STUDENT EEICT 2025: General papers. s. 331-335. ISBN 978-80-214-6321-9cs
dc.identifier.isbn978-80-214-6321-9
dc.identifier.urihttps://hdl.handle.net/11012/255402
dc.language.isoencs
dc.publisherVysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních technologiícs
dc.relation.ispartofProceedings I of the 31st Conference STUDENT EEICT 2025: General papersen
dc.relation.urihttps://www.eeict.cz/eeict_download/archiv/sborniky/EEICT_2025_sbornik_1.pdfcs
dc.rights© Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních technologiícs
dc.rights.accessopenAccessen
dc.subjectsystem of discrete equationsen
dc.subjectlinear systemen
dc.subjectmultiple delaysen
dc.subjectinitial problemen
dc.subjectsingle zero eigenvalueen
dc.subjectformula for general solutionen
dc.titleGeneral Solution of Linear Planar Weakly Delayed Discrete Systems with Multiple Delays and with a Singular Matrix of Non-delayed Termsen
dc.type.driverconferenceObjecten
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.departmentFakulta elektrotechniky a komunikačních technologiícs
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