Optimal Stabilization in Systems of Linear Differential Equations

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dc.contributor.authorKhusainov, Denys Ya.cs
dc.contributor.authorDiblĂ­k, Josefcs
dc.contributor.authorShatyrko, Andrejcs
dc.contributor.authorHahurin, Zhenyacs
dc.coverage.issue1cs
dc.coverage.volume32cs
dc.date.accessioned2024-10-14T09:03:25Z
dc.date.available2024-10-14T09:03:25Z
dc.date.issued2024-06-30cs
dc.description.abstractThis article considers the optimal stabilization problems for complex dynamical systems, which can be described in terms of linear differential equations. At the beginning of the article, general provisions on optimal stabilization and the application of the apparatus of optimal Lyapunov functions for the purpose of solving the formulated problem are given. To ensure consistency and easier understanding of the obtained results, the systems with scalar control are considered first. The main results were obtained for systems with n-dimensional control and the presence of a diagonal matrix in the quality criteria. Finally, the conditions are extended to the case when a matrix of the general form is used in the quality criterion.en
dc.formattextcs
dc.format.extent84-96cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationJournal of Optimization, Differential Equations and Their Applications. 2024, vol. 32, issue 1, p. 84-96.en
dc.identifier.doi10.15421/142405cs
dc.identifier.issn2617-0108cs
dc.identifier.orcid0000-0001-5009-316Xcs
dc.identifier.other189323cs
dc.identifier.researcheridD-3530-2014cs
dc.identifier.scopus6701633618cs
dc.identifier.urihttps://hdl.handle.net/11012/249478
dc.language.isoencs
dc.publisherDnipro National Universitycs
dc.relation.ispartofJournal of Optimization, Differential Equations and Their Applicationscs
dc.relation.urihttps://model-dnu.dp.ua/index.php/SM/article/view/197cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2617-0108/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectcontrolen
dc.subjectLyapunov functions methoden
dc.subjectstabilityen
dc.subjectstabilizationen
dc.titleOptimal Stabilization in Systems of Linear Differential Equationsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-189323en
sync.item.dbtypeVAVen
sync.item.insts2024.10.14 11:03:25en
sync.item.modts2024.09.19 16:32:11en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs
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