Properties of extremals in optimal control problems with state constraints
- Авторлар: Arutyunov A.V.1,2,3,4, Karamzin D.Y.1,2,3,4
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Мекемелер:
- Peoples’ Friendship University of Russia
- Faculty of Computational Mathematics and Cybernetics
- Federal Research Center “Informatics and Control”
- University of Porto
- Шығарылым: Том 52, № 11 (2016)
- Беттер: 1411-1422
- Бөлім: Control Theory
- URL: https://journal-vniispk.ru/0012-2661/article/view/154148
- DOI: https://doi.org/10.1134/S0012266116110033
- ID: 154148
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
A. Arutyunov
Peoples’ Friendship University of Russia; Faculty of Computational Mathematics and Cybernetics; Federal Research Center “Informatics and Control”; University of Porto
Хат алмасуға жауапты Автор.
Email: arutun@orc.ru
Ресей, 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
Ресей, Moscow; Moscow; Moscow; Porto
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