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, 2020, Volume 183, Pages 98–112
DOI: https://doi.org/10.36535/0233-6723-2020-183-98-112 (Mi into690) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the problem of optimal control of dynamic systems in real time

R. Gabasova, N. M. Dmitruka, F. M. Kirillovab

a Belarusian State University, Minsk
b Institute of Mathematics of the National Academy of Sciences of Belarus
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DOI: https://doi.org/10.36535/0233-6723-2020-183-98-112
Abstract: This paper is a review of the results on the problem of optimal control in real time for linear systems, obtained by the Minsk school by mathematical methods of optimal control. We consider optimal control problems for dynamic objects, their deterministic mathematical models and perfect measurements of states, objects with disturbances and imperfect measurements of the observed input and output signals, the problem of optimal decentralized control of groups of interconnected dynamic objects, and application of real-time optimal control problems and the control principle to solving stabilization problems.
Keywords: optimal control, real-time control, uncertainty, imperfect measurements, decentralized control, stabilization, algorithm.
Bibliographic databases:
Document Type: Article
UDC: 519.714, 517.977
MSC: 37C75, 93D15, 93C05, 49J15
Language: Russian
Citation: R. Gabasov, N. M. Dmitruk, F. M. Kirillova, “On the problem of optimal control of dynamic systems in real time”, Differential Equations and Optimal Control, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 183, VINITI, Moscow, 2020, 98–112
Citation in format AMSBIB
\Bibitem{GabDmiKir20}
\by R.~Gabasov, N.~M.~Dmitruk, F.~M.~Kirillova
\paper On the problem of optimal control of dynamic systems in real time
\inbook Differential Equations and Optimal Control
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 183
\pages 98--112
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into690}
\crossref{https://doi.org/10.36535/0233-6723-2020-183-98-112}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4237911}
\elib{https://elibrary.ru/item.asp?id=46316848}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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