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On the maximum principle when the endpoints of the optimal trajectory lie on the state boundary Cover

On the maximum principle when the endpoints of the optimal trajectory lie on the state boundary

Control and Cybernetics
Volume 53 (2024): Issue 1 (March 2024)
By: Andrei V. Dmitruk and  Nikolai P. Osmolovskii  
Open Access
|Jan 2025
Authors

Authors

Andrei V. Dmitruk

optcon@mail.ru

Russian Academy of Sciences, Central Economics and Mathematics Institute, Moscow, Russia

Nikolai P. Osmolovskii

nikolai.osmolovskii@ibspan.waw.pl

Systems Research Institute, Poland
DOI: https://doi.org/10.2478/candc-2024-0005 | Journal eISSN: 2720-4278 | Journal ISSN: 0324-8569
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Language: English
Page range: 77 - 107
Submitted on: May 1, 2024
Accepted on: Jun 1, 2024
Published on: Jan 17, 2025
Published by: Systems Research Institute Polish Academy of Sciences
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
optimal control,
normed space,
state constraint,
Pontryagin function,
Lebesgue–Stieltjes measure,
singular measure,
costate equation
Related subjects:
Computer sciences,
Computer sciences, other,
Engineering,
Electrical engineering,
Fundamentals of electrical engineering,
Mechanical engineering,
Fundamentals of mechanical engineering,
Mathematics,
General mathematics

© 2025 Andrei V. Dmitruk, Nikolai P. Osmolovskii, published by Systems Research Institute Polish Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 53 (2024): Issue 1 (March 2024)
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