Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 213, Pages 47–53
DOI: https://doi.org/10.36535/0233-6723-2022-213-47-53 (Mi into1046) 		 
Operator forms and methods of the maximum principle in optimal control problems with constraints

A. S. Buldaev, V. A. Dumnov

Buryat State University, Ulan-Ude
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DOI: https://doi.org/10.36535/0233-6723-2022-213-47-53
Abstract: New constructive forms of well-known optimality conditions for constrained controlled systems in the form of fixed point problems in the control space are considered. Optimality conditions proposed allows one to apply the theory and methods of fixed points to develop new iterative algorithms for finding extremal controls in the class of constrained optimal control problems.
Keywords: controlled system with constraints, maximum principle, control operator, fixed point problem, iterative algorithm.
Funding agency Grant number
Russian Foundation for Basic Research 18-41-030005
This work was supported by the Russian Foundation for Basic Research (project 18-41-030005) and Buryat State University, a project of year 2021.
Document Type: Article
UDC: 517.977
MSC: 49M20
Language: Russian
Citation: A. S. Buldaev, V. A. Dumnov, “Operator forms and methods of the maximum principle in optimal control problems with constraints”, Geometry, Mechanics, and Differential Equations, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 213, VINITI, Moscow, 2022, 47–53
Citation in format AMSBIB
\Bibitem{BulDum22}
\by A.~S.~Buldaev, V.~A.~Dumnov
\paper Operator forms and methods of the maximum principle in optimal control problems with constraints
\inbook Geometry, Mechanics, and Differential Equations
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 213
\pages 47--53
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1046}
\crossref{https://doi.org/10.36535/0233-6723-2022-213-47-53}
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