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ON NORMALITY IN OPTIMAL CONTROL PROBLEMS WITH STATE CONSTRAINTS
- Authors: Karamzin D.Y.1, Pereira F.2
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Affiliations:
- Federal Research Center “Computer Science and Control” of Russian Academy of Sciences
- Research Center for Systems and Technologies (SYSTEC), University of Porto
- Issue: Vol 63, No 6 (2023)
- Pages: 937
- Section: Optimal control
- URL: https://rjeid.com/0044-4669/article/view/664831
- DOI: https://doi.org/10.31857/S004446692306011X
- EDN: https://elibrary.ru/UWRZVX
- ID: 664831
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Abstract
A general optimal control problem with endpoint, mixed and state constraints is considered. The question of normality of the known necessary optimality conditions is investigated. Normality stands for the positiveness of the Lagrange multiplier λ0 corresponding to the cost functional. In order to prove the normality condition, an appropriate derivative operator for the state constraints is constructed, which acts in a specific Hilbert space and has the properties of surjection and continuity.
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About the authors
D. Yu. Karamzin
Federal Research Center “Computer Science and Control” of Russian Academy of Sciences
Email: d.yu.karamzin@gmail.com
Moscow, Russia
F. Pereira
Research Center for Systems and Technologies (SYSTEC), University of Porto
Author for correspondence.
Email: d.yu.karamzin@gmail.com
Porto, Portugal
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