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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2023, Volume 321, Pages 31–44
DOI: https://doi.org/10.4213/tm4322 (Mi tm4322) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Weakening State Constraints in Optimal Control Problems

S. M. Aseevab

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b International Institute for Applied Systems Analysis (IIASA), Schlossplatz 1, A-2361 Laxenburg, Austria
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DOI: https://doi.org/10.4213/tm4322
Abstract: An optimal control problem is considered in which the integral term of the functional to be minimized contains the characteristic function of a given open set of undesirable system states. The statement of this problem can be viewed as a weakening of the statement of the standard optimal control problem with a state constraint. Conditions are obtained that guarantee the equivalence of these problems. Two illustrative examples are given.
Keywords: optimal control, state constraint, risk zone, differential inclusion.
Received: August 4, 2022
Revised: October 3, 2022
Accepted: January 9, 2023
English version:
Proceedings of the Steklov Institute of Mathematics, 2023, Volume 321, Pages 24–36
DOI: https://doi.org/10.1134/S0081543823020025
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: S. M. Aseev, “Weakening State Constraints in Optimal Control Problems”, Optimal Control and Dynamical Systems, Collected papers. On the occasion of the 95th birthday of Academician Revaz Valerianovich Gamkrelidze, Trudy Mat. Inst. Steklova, 321, Steklov Math. Inst., Moscow, 2023, 31–44; Proc. Steklov Inst. Math., 321 (2023), 24–36
Citation in format AMSBIB
\Bibitem{Ase23}
\by S.~M.~Aseev
\paper Weakening State Constraints in Optimal Control Problems
\inbook Optimal Control and Dynamical Systems
\bookinfo Collected papers. On the occasion of the 95th birthday of Academician Revaz Valerianovich Gamkrelidze
\serial Trudy Mat. Inst. Steklova
\yr 2023
\vol 321
\pages 31--44
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4322}
\crossref{https://doi.org/10.4213/tm4322}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2023
\vol 321
\pages 24--36
\crossref{https://doi.org/10.1134/S0081543823020025}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85170845631}
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    • This publication is cited in the following 1 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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