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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 1065–1079
DOI: https://doi.org/10.17377/semi.2018.15.089 (Mi semr980) 		 
Differentical equations, dynamical systems and optimal control

Existence and uniqueness of the solution of the adjoint system in one problem of optimal control

K. S. Musabekov

University named after Shokhan Ualikhanov, Abay Street, 76, 020000, Kokshetau State, Republic Kazakhstan
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DOI: https://doi.org/10.17377/semi.2018.15.089
Abstract: In this paper the problem of optimal control of mathematical model of a non-adiabatic tubular reactor is considered. The proof of existence and uniqueness of the solution of the adjoint system in weight Hölder classes is carried out.
Keywords: mathematical model, chemical reactor, optimal control, functional, necessary condition of an optimality, maximum principle of Pontryagin, the adjoint system.
Received April 5, 2017, published September 25, 2018
Bibliographic databases:
Document Type: Article
UDC: 517.977.56
MSC: 49J20
Language: Russian
Citation: K. S. Musabekov, “Existence and uniqueness of the solution of the adjoint system in one problem of optimal control”, Sib. Èlektron. Mat. Izv., 15 (2018), 1065–1079
Citation in format AMSBIB
\Bibitem{Mus18}
\by K.~S.~Musabekov
\paper Existence and uniqueness of the solution of the adjoint system in one problem of
optimal control
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 1065--1079
\mathnet{http://mi.mathnet.ru/semr980}
\crossref{https://doi.org/10.17377/semi.2018.15.089}
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