Enviar artigo por via de e-mail Properties of extremals in optimal control problems with state constraints
- Autores: Arutyunov A.V.1,2,3,4, Karamzin D.Y.1,2,3,4
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Afiliações:
- Peoples’ Friendship University of Russia
- Faculty of Computational Mathematics and Cybernetics
- Federal Research Center “Informatics and Control”
- University of Porto
- Edição: Volume 52, Nº 11 (2016)
- Páginas: 1411-1422
- Seção: Control Theory
- URL: https://journal-vniispk.ru/0012-2661/article/view/154148
- DOI: https://doi.org/10.1134/S0012266116110033
- ID: 154148
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Resumo
An optimal control problem with state constraints is considered. Some properties of extremals to the Pontryagin maximum principle are studied. It is shown that, from the conditions of the maximum principle, it follows that the extended Hamiltonian is a Lipschitz function along the extremal and its total time derivative coincides with its partial derivative with respect to time.
Sobre autores
A. Arutyunov
Peoples’ Friendship University of Russia; Faculty of Computational Mathematics and Cybernetics; Federal Research Center “Informatics and Control”; University of Porto
Autor responsável pela correspondência
Email: arutun@orc.ru
Rússia, Moscow; Moscow; Moscow; Porto
D. Karamzin
Peoples’ Friendship University of Russia; Faculty of Computational Mathematics and Cybernetics; Federal Research Center “Informatics and Control”; University of Porto
Email: arutun@orc.ru
Rússia, Moscow; Moscow; Moscow; Porto
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