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Trudy Moskovskogo Matematicheskogo Obshchestva, 2019, Volume 80, Issue 2, Pages 259–274 (Mi mmo627)  
This article is cited in 6 scientific papers (total in 6 papers)

Control with point observation for a parabolic problem with convection

I. V. Astashovaab, D. A. Lashinc, A. V. Filinovskiibd

a Economical and Mathematical Faculty, Plekhanov Russian University of Economics, Moscow, Russia 113054
b Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia, 119234
c FITO-AGRO, Moskovsky 35-12, Moscow, Russia
d Department of Fundamental Sciences, Bauman Moscow State Technical University, Moscow, Russia 105005
Full-text PDF (281 kB) Citations (6)
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Abstract: We consider a control problem related to the mathematical model of temperature control in industrial hothouses. It is based on a one-dimensional non-selfadjoint parabolic equation with variable coefficients. Defining an optimal control as a minimizing function for a quadratic functional, we study its qualitative properties and the structure of the set of admissible temperature functions. We prove controllability for a certain family of control functions.
Key words and phrases: Parabolic equation, extremum problem, quadratic functional, minimizing function, controllability, exact controllability.
Received: 20.06.2019
English version:
Transactions of the Moscow Mathematical Society, 2019, Volume 80, Pages 221–234
DOI: https://doi.org/10.1090/mosc/296
Bibliographic databases:
Document Type: Article
UDC: 517.977.56, 517.977.57, 517.956.4
MSC: 35K20, 35Q79, 35Q93, 49J20
Language: Russian
Citation: I. V. Astashova, D. A. Lashin, A. V. Filinovskii, “Control with point observation for a parabolic problem with convection”, Tr. Mosk. Mat. Obs., 80, no. 2, MCCME, M., 2019, 259–274; Trans. Moscow Math. Soc., 80 (2019), 221–234
Citation in format AMSBIB
\Bibitem{AstLasFil19}
\by I.~V.~Astashova, D.~A.~Lashin, A.~V.~Filinovskii
\paper Control with point observation for a parabolic problem with convection
\serial Tr. Mosk. Mat. Obs.
\yr 2019
\vol 80
\issue 2
\pages 259--274
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo627}
\elib{https://elibrary.ru/item.asp?id=43272433}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2019
\vol 80
\pages 221--234
\crossref{https://doi.org/10.1090/mosc/296}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85083794751}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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