On the Chernous'ko Time-Optimal Problem for the Equation of Heat Conductivity in a Rod

Azamov, A. A.; Bakhramov, J. A.; Akhmedov, O. S.

doi:10.15826/umj.2019.1.002

Please use this identifier to cite or link to this item: http://elar.urfu.ru/handle/10995/93077

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DC Field	Value	Language
dc.contributor.author	Azamov, A. A.	en
dc.contributor.author	Bakhramov, J. A.	en
dc.contributor.author	Akhmedov, O. S.	en
dc.date.accessioned	2020-10-30T12:53:59Z	-
dc.date.available	2020-10-30T12:53:59Z	-
dc.date.issued	2019	-
dc.identifier.citation	Azamov 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.issn	2414-3952	-
dc.identifier.uri	http://elar.urfu.ru/handle/10995/93077	-
dc.description.abstract	The 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.sponsorship	This 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.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences	en
dc.publisher	Ural Federal University named after the first President of Russia B.N. Yeltsin	en
dc.relation.ispartof	Ural Mathematical Journal. 2019. Volume 5. № 1	en
dc.rights	Creative Commons Attribution License	en
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/	-
dc.subject	HEAT EQUATION	en
dc.subject	TIME-OPTIMAL PROBLEM	en
dc.subject	PONTRYAGIN MAXIMUM PRINCIPLE	en
dc.subject	SUBOPTIMAL CONTROL	en
dc.subject	SYNTHESIS OF CONTROL	en
dc.title	On the Chernous'ko Time-Optimal Problem for the Equation of Heat Conductivity in a Rod	en
dc.type	Article	en
dc.type	info:eu-repo/semantics/article	en
dc.type	info:eu-repo/semantics/publishedVersion	en
dc.identifier.doi	10.15826/umj.2019.1.002	-
local.description.firstpage	13	-
local.description.lastpage	23	-
local.issue	1	-
local.volume	5	-
Appears in Collections:	Ural Mathematical Journal

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