Optimal Synthesis in a Model Problem with Two-Dimensional Control Lying in an Arbitrary Convex Set
- Autores: Lokutsievskiy L.V.1, Myrikova V.A.2
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Afiliações:
- Steklov Mathematical Institute of Russian Academy of Sciences
- OOO “Execution RDC,”
- Edição: Volume 105, Nº 1-2 (2019)
- Páginas: 36-55
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151501
- DOI: https://doi.org/10.1134/S000143461901005X
- ID: 151501
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Resumo
We consider a model nilpotent convex problem with two-dimensional control from an arbitrary convex set Ω. For the case in which Ω is a polygon, the problem is solved explicitly. For the case of an arbitrary set Ω, we completely describe the asymptotics of optimal trajectories and the geometric properties of the optimal synthesis.
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Sobre autores
L. Lokutsievskiy
Steklov Mathematical Institute of Russian Academy of Sciences
Autor responsável pela correspondência
Email: lion.lokut@gmail.com
Rússia, Moscow, 119991
V. Myrikova
OOO “Execution RDC,”
Autor responsável pela correspondência
Email: vikma93@mail.ru
Rússia, Moscow, 129164
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