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, 2021, Volume 196, Pages 15–27
DOI: https://doi.org/10.36535/0233-6723-2021-196-15-27 (Mi into845) 		 
Improvement methods for problems of optimal control of multistage processes

V. A. Baturina, S. Cheremnykhb

a Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, Irkutsk
b Irkutsk State University
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DOI: https://doi.org/10.36535/0233-6723-2021-196-15-27
Abstract: In this paper, we propose first- and second-order methods of improvement for optimal control problems with non-fixed durations of stages based on the theory of V. F. Krotov. We obtain unimprovability conditions, which are closely related to the necessary and sufficient conditions for a weak local minimum.
Keywords: multistage process, dynamical system, non-fixed time, optimal control, iterative methods.
Document Type: Article
UDC: 517.997
MSC: 49K30
Language: Russian
Citation: V. A. Baturin, S. Cheremnykh, “Improvement methods for problems of optimal control of multistage processes”, Differential Equations and Optimal Control, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 196, VINITI, Moscow, 2021, 15–27
Citation in format AMSBIB
\Bibitem{BatChe21}
\by V.~A.~Baturin, S.~Cheremnykh
\paper Improvement methods for problems of optimal control of multistage processes
\inbook Differential Equations and Optimal Control
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 196
\pages 15--27
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into845}
\crossref{https://doi.org/10.36535/0233-6723-2021-196-15-27}
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