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Decomposition of Fourth-Order Linear Time-Varying Systems into Its Third- and First-Order Commutative Pairs

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dc.authorscopusid57198098895
dc.authorscopusid10639356300
dc.authorwosidIbrahim, Salisu/Hto-6329-2023
dc.authorwosidKöksal, Mehmet/Aag-3612-2021
dc.contributor.authorIbrahim, Salisu
dc.contributor.authorKoksal, Mehmet Emir
dc.contributor.authorIDIbrahim, Salisu/0000-0002-1467-5426
dc.date.accessioned2025-12-11T01:03:11Z
dc.date.issued2023
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Ibrahim, Salisu; Koksal, Mehmet Emir] Ondokuz Mayis Univ, Dept Math, TR-55139 Atakum, Samsun, Turkiyeen_US
dc.descriptionIbrahim, Salisu/0000-0002-1467-5426en_US
dc.description.abstractThe necessary and sufficient conditions for decomposing a fourth-order (FO) linear time-variant system (LTVS) in the form of cascade connection of a first-order system and a third-order system that are commutative are expressed explicitly in this paper. Some additional conditions are also derived for a valid decomposition when the initial conditions are different from zero. Further, explicit formulas are derived for the determination of the decomposed subsystems. The paper also investigated the effects of changing the connection order on the sensitivity and disturbance properties. Theoretical results about the decomposition are supported and illustrated by considering various examples.en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.doi10.1007/s00034-022-02272-4
dc.identifier.endpage3340en_US
dc.identifier.issn0278-081X
dc.identifier.issn1531-5878
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85145505386
dc.identifier.scopusqualityQ2
dc.identifier.startpage3320en_US
dc.identifier.urihttps://doi.org/10.1007/s00034-022-02272-4
dc.identifier.urihttps://hdl.handle.net/20.500.12712/40963
dc.identifier.volume42en_US
dc.identifier.wosWOS:000906629700001
dc.identifier.wosqualityQ3
dc.language.isoenen_US
dc.publisherSpringer Birkhauseren_US
dc.relation.ispartofCircuits Systems and Signal Processingen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAnalog Controlen_US
dc.subjectRobust Controlen_US
dc.subjectTime-Varying Linear Systemen_US
dc.subjectDifferential Equationen_US
dc.subjectPhysical Systemsen_US
dc.titleDecomposition of Fourth-Order Linear Time-Varying Systems into Its Third- and First-Order Commutative Pairsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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