Relative Controllability and Ulam-Hyers Stability of the Second-Order Linear Time-Delay Systems

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dc.contributor.authorAbuasbeh, Kinda
dc.contributor.authorMahmudov, Nazim I.
dc.contributor.authorAwadalla, Muath
dc.date.accessioned2026-02-06T18:24:13Z
dc.date.issued2023
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractWe introduce the delayed sine/cosine-type matrix function and use the Laplace transform method to obtain a closed form solution to IVP for a second-order time-delayed linear system with noncommutative matrices A and omega. We also introduce a delay Gramian matrix and examine a relative controllability linear/semi-linear time delay system. We have obtained the necessary and sufficient condition for the relative controllability of the linear time-delayed second-order system. In addition, we have obtained sufficient conditions for the relative controllability of the semi-linear second-order time-delay system. Finally, we investigate the Ulam-Hyers stability of a second-order semi-linear time-delayed system.
dc.description.sponsorshipDeanship of Scientific Research, Vice Presidency for Graduate Studies and Scientific Research, King Faisal University, Saudi Arabia [2240]
dc.description.sponsorshipThis work was supported by the Deanship of Scientific Research, Vice Presidency for Graduate Studies and Scientific Research, King Faisal University, Saudi Arabia (Grant No. 2240).
dc.identifier.doi10.3390/math11040806
dc.identifier.issn2227-7390
dc.identifier.issue4
dc.identifier.orcid0000-0002-6447-6361
dc.identifier.orcid0000-0003-3943-1732
dc.identifier.orcid0000-0003-2744-6320
dc.identifier.scopus2-s2.0-85152608445
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math11040806
dc.identifier.urihttps://hdl.handle.net/11129/10088
dc.identifier.volume11
dc.identifier.wosWOS:000940767200001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofMathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectstability
dc.subjectcontrollability
dc.subjectdelay systems
dc.subjectfractional calculus
dc.titleRelative Controllability and Ulam-Hyers Stability of the Second-Order Linear Time-Delay Systems
dc.typeArticle

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