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dc.contributor.authorAzamov, A. A.en
dc.contributor.authorBakhramov, J. A.en
dc.contributor.authorAkhmedov, O. S.en
dc.date.accessioned2020-10-30T12:53:59Z-
dc.date.available2020-10-30T12:53:59Z-
dc.date.issued2019-
dc.identifier.citationAzamov A. A. On the Chernous'ko Time-Optimal Problem for the Equation of Heat Conductivity in a Rod / A. A. Azamov, J. A. Bakhramov, O. S. Akhmedov. — DOI 10.15826/umj.2019.1.002. — Text : electronic // Ural Mathematical Journal. — 2019. — Volume 5. — № 1. — P. 13-23.en
dc.identifier.issn2414-3952-
dc.identifier.urihttp://elar.urfu.ru/handle/10995/93077-
dc.description.abstractThe time-optimal problem for the controllable equation of heat conductivity in a rod is considered. By means of the Fourier expansion, the problem reduced to a countable system of one-dimensional control systems with a combined constraint joining control parameters in one relation. In order to improve the time of a suboptimal control constructed by F.L. Chernous'ko, a method of grouping coupled terms of the Fourier expansion of a control function is applied, and a synthesis of the improved suboptimal control is obtained in an explicit form.en
dc.description.sponsorshipThis work was supported by a grant from the Ministry of Innovative Development of the Republic of Uzbekistan (Project No. OT- 4-84).en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherN.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciencesen
dc.publisherUral Federal University named after the first President of Russia B.N. Yeltsinen
dc.relation.ispartofUral Mathematical Journal. 2019. Volume 5. № 1en
dc.rightsCreative Commons Attribution Licenseen
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/-
dc.subjectHEAT EQUATIONen
dc.subjectTIME-OPTIMAL PROBLEMen
dc.subjectPONTRYAGIN MAXIMUM PRINCIPLEen
dc.subjectSUBOPTIMAL CONTROLen
dc.subjectSYNTHESIS OF CONTROLen
dc.titleOn the Chernous'ko Time-Optimal Problem for the Equation of Heat Conductivity in a Roden
dc.typeArticleen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.15826/umj.2019.1.002-
local.description.firstpage13-
local.description.lastpage23-
local.issue1-
local.volume5-
Располагается в коллекциях:Ural Mathematical Journal

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