Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/103027
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dc.contributor.authorSesekin, A. N.en
dc.contributor.authorFrolova, A. A.en
dc.date.accessioned2021-08-31T15:07:02Z-
dc.date.available2021-08-31T15:07:02Z-
dc.date.issued2021-
dc.identifier.citationSesekin A. N. Singular linear-quadratic problem with a terminal condition / A. N. Sesekin, A. A. Frolova. — DOI 10.1063/5.0041692 // AIP Conference Proceedings. — 2021. — Vol. 2333. — 040006.en
dc.identifier.isbn9780735440777-
dc.identifier.issn0094243X-
dc.identifier.otherFinal2
dc.identifier.otherAll Open Access, Bronze3
dc.identifier.otherhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85102764179&doi=10.1063%2f5.0041692&partnerID=40&md5=52d9175594d021b462c0af6bb449f822
dc.identifier.otherhttps://aip.scitation.org/doi/pdf/10.1063/5.0041692m
dc.identifier.urihttp://hdl.handle.net/10995/103027-
dc.description.abstractA singular linear-quadratic optimization problem with a terminal condition is considered. This problem in the space of absolutely continuous functions has no solutions. To ensure the existence of a solution, it is necessary to extend the set of admissible controls. In the case under consideration, we consider the generalized derivatives of functions of bounded variation as admissible controls. As a result, valid controls may contain impulse components. Under some assumptions, an optimal control is constructed containing impulse components at the initial and final instants of time. An illustrative example is provided. © 2021 Author(s).en
dc.description.sponsorshipThe research was supported by Russian Foundation for Basic Research, project no. 19-01-00371 and by Act 211 Government of the Russian Federation, contract 02.A03.21.0006.en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherAmerican Institute of Physics Inc.en
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceAIP Conf. Proc.2
dc.sourceAIP Conference Proceedingsen
dc.titleSingular linear-quadratic problem with a terminal conditionen
dc.typeConference Paperen
dc.typeinfo:eu-repo/semantics/conferenceObjecten
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.1063/5.0041692-
dc.identifier.scopus85102764179-
local.contributor.employeeSesekin, A.N., Ural Federal University, 19 Mira st., Ekaterinburg, 620002, Russian Federation, N. N. Krasovskii Institute of Mathematics and Mechanics, Ural Division of Russian Academy of Sciences, 16 S. Kovalevskaya, Ekaterinburg, 620108, Russian Federation
local.contributor.employeeFrolova, A.A., Ural Federal University, 19 Mira st., Ekaterinburg, 620002, Russian Federation
local.volume2333-
local.contributor.departmentUral Federal University, 19 Mira st., Ekaterinburg, 620002, Russian Federation
local.contributor.departmentN. N. Krasovskii Institute of Mathematics and Mechanics, Ural Division of Russian Academy of Sciences, 16 S. Kovalevskaya, Ekaterinburg, 620108, Russian Federation
local.identifier.pure21043210-
local.identifier.pure22cd50ce-c103-42e2-9891-af4b1c9543ebuuid
local.description.order040006-
local.identifier.eid2-s2.0-85102764179-
local.fund.rffi19-01-00371-
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