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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2024, Volume 30, Number 2, Pages 50–67
DOI: https://doi.org/10.21538/0134-4889-2024-30-2-50-67 (Mi timm2083) 		 
Sufficient optimality conditions for hybrid systems of variable dimension with intermediate constraints

A. S. Bortakovskiiab

a Moscow Aviation Institute (National Research University)
b National University of Science and Technology «MISIS», Moscow
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DOI: https://doi.org/10.21538/0134-4889-2024-30-2-50-67
Abstract: An optimal control problem is considered for a hybrid system in which continuous motion alternates with discrete changes (switchings) of the state space and control space. The switching times are determined as a result of minimizing a functional that takes into account the costs of each switching. Sufficient conditions for the optimality of such systems under additional constraints at the switching times are obtained. The application of the optimality conditions is demonstrated using academic examples.
Keywords: hybrid systems, variable dimension, optimal control.
Received: 20.02.2024
Revised: 18.03.2024
Accepted: 25.03.2024
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2024, Volume 325, Issue 1, Pages S58–S75
DOI: https://doi.org/10.1134/S0081543824030052
Bibliographic databases:
Document Type: Article
UDC: 519.977
MSC: 34A34, 93C30
Language: Russian
Citation: A. S. Bortakovskii, “Sufficient optimality conditions for hybrid systems of variable dimension with intermediate constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 30, no. 2, 2024, 50–67; Proc. Steklov Inst. Math. (Suppl.), 325, suppl. 1 (2024), S58–S75
Citation in format AMSBIB
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\by A.~S.~Bortakovskii
\paper Sufficient optimality conditions for hybrid systems of variable dimension with intermediate constraints
\serial Trudy Inst. Mat. i Mekh. UrO RAN
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\issue 2
\pages 50--67
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2024
\vol 325
\issue , suppl. 1
\pages S58--S75
\crossref{https://doi.org/10.1134/S0081543824030052}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85201607054}
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