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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2024, Volume 30, Number 3, Pages 68–85
DOI: https://doi.org/10.21538/0134-4889-2024-30-3-68-85 (Mi timm2105) 		 
An optimal synthesis for a triple integrator with a state constraint

E. Voroninaa, A. V. Dmitrukba

a Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
b Central Economics and Mathematics Institute of the Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.21538/0134-4889-2024-30-3-68-85
Abstract: The time-optimal problem of steering a triple integrator from an arbitrary point to the origin is considered under constraints on the input control and on one of the state variables. An optimal control is synthesized based on the maximum principle in the Dubovitskii–Milyutin form.
Keywords: control system, time optimality, state constraint, maximum principle, switching points, Lebesgue–Stieltjes measure, optimal synthesis.
Received: 03.06.2024
Revised: 03.07.2024
Accepted: 08.07.2024
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2024, Volume 327, Issue 1, Pages S257–S274
DOI: https://doi.org/10.1134/S0081543824070198
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: E. Voronina, A. V. Dmitruk, “An optimal synthesis for a triple integrator with a state constraint”, Trudy Inst. Mat. i Mekh. UrO RAN, 30, no. 3, 2024, 68–85; Proc. Steklov Inst. Math., 327, suppl. 1 (2024), S257–S274
Citation in format AMSBIB
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\by E.~Voronina, A.~V.~Dmitruk
\paper An optimal synthesis for a triple integrator with a state constraint
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2024
\vol 30
\issue 3
\pages 68--85
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\crossref{https://doi.org/10.21538/0134-4889-2024-30-3-68-85}
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2024
\vol 327
\issue , suppl. 1
\pages S257--S274
\crossref{https://doi.org/10.1134/S0081543824070198}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105000053542}
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