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, 2024, Volume 234, Pages 43–49
DOI: https://doi.org/10.36535/2782-4438-2024-234-43-49 (Mi into1291) 		 
Support majorants and feedback minimum principles for discrete optimal control problems

V. A. Dykhtaab

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/10.36535/2782-4438-2024-234-43-49
Abstract: Support conditions for two classes of problems are found: problems for which the discrete maximum principle is valid and for generalized solutions that are optimal in a convex problem with trajectories realized in the original formulation.
Keywords: necessary conditions, discrete minimum principle, feedback minimum principle, Hamilton–Jacobi inequality
Document Type: Article
UDC: 517.977.5
MSC: 49K15, 49L99
Language: Russian
Citation: V. A. Dykhta, “Support majorants and feedback minimum principles for discrete optimal control problems”, Proceedings of the 5th International Conference "Dynamical Systems and Computer Science: Theory and Applications" (DYSC 2023). Irkutsk, September 18-23, 2023, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 234, VINITI, Moscow, 2024, 43–49
Citation in format AMSBIB
\Bibitem{Dyk24}
\by V.~A.~Dykhta
\paper Support majorants and feedback minimum principles for discrete optimal control problems
\inbook Proceedings of the 5th International Conference "Dynamical Systems and Computer Science: Theory and Applications"
(DYSC 2023). Irkutsk, September 18-23, 2023
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2024
\vol 234
\pages 43--49
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1291}
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