Connections in control strategy

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dc.contributor.authorRahula, Maidocs
dc.contributor.authorVašík, Petrcs
dc.coverage.issue1cs
dc.coverage.volume63cs
dc.date.issued2014-03-14cs
dc.description.abstractWe present an infinitesimal interpretation of the control theory, particularly of the part concerning dynamic systems. We use the original concept of a bundle connection, which lies in the idea of fibre transportation along a path on the base manifold. The control of a process leads also to the transportation of fibres, and the control strategy, i.e. the choice of a suitable system control in order to optimize the process corresponds to the choice of a path on the base manifold. The triple of crucial terms of control, aim–control–strategy, translates in the terms of connections as fibre–connection–curve. Such a scheme is quite convincing, but it also works well in dynamic systems analysis.en
dc.description.abstractWe present an infinitesimal interpretation of the control theory, particularly of the part concerning dynamic systems. We use the original concept of a bundle connection, which lies in the idea of fibre transportation along a path on the base manifold. The control of a process leads also to the transportation of fibres, and the control strategy, i.e. the choice of a suitable system control in order to optimize the process corresponds to the choice of a path on the base manifold. The triple of crucial terms of control, aim–control–strategy, translates in the terms of connections as fibre–connection–curve. Such a scheme is quite convincing, but it also works well in dynamic systems analysis.en
dc.formattextcs
dc.format.extent26-32cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationProceedings of the Estonian Academy of Sciences. 2014, vol. 63, issue 1, p. 26-32.en
dc.identifier.doi10.3176/proc.2014.1.05cs
dc.identifier.issn1736-6046cs
dc.identifier.orcid0000-0001-6725-7378cs
dc.identifier.other106131cs
dc.identifier.researcheridM-4620-2016cs
dc.identifier.scopus36761783000cs
dc.identifier.urihttp://hdl.handle.net/11012/201753
dc.language.isoencs
dc.publisherEstonian Academy of Sciencescs
dc.relation.ispartofProceedings of the Estonian Academy of Sciencescs
dc.relation.urihttps://kirj.ee/proceedings-of-the-estonian-academy-of-sciences-publications/?filter[year]=2014&filter[issue]=231&filter[publication]=1737cs
dc.rightsCreative Commons Attribution-NonCommercial 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1736-6046/cs
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/cs
dc.subjectcontrol theoryen
dc.subjectconnectionen
dc.subjectcontrol theory
dc.subjectconnection
dc.titleConnections in control strategyen
dc.title.alternativeConnections in control strategyen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-106131en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 15:06:54en
sync.item.modts2025.10.14 09:35:24en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
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