Отправить статью по E-mail Properties of extremals in optimal control problems with state constraints
- Авторы: Arutyunov A.V.1,2,3,4, Karamzin D.Y.1,2,3,4
-
Учреждения:
- Peoples’ Friendship University of Russia
- Faculty of Computational Mathematics and Cybernetics
- Federal Research Center “Informatics and Control”
- University of Porto
- Выпуск: Том 52, № 11 (2016)
- Страницы: 1411-1422
- Раздел: Control Theory
- URL: https://journals.rcsi.science/0012-2661/article/view/154148
- DOI: https://doi.org/10.1134/S0012266116110033
- ID: 154148
Цитировать
Открытый доступ
Доступ предоставлен
Только для подписчиков
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.
Об авторах
A. Arutyunov
Peoples’ Friendship University of Russia; Faculty of Computational Mathematics and Cybernetics; Federal Research Center “Informatics and Control”; University of Porto
Автор, ответственный за переписку.
Email: arutun@orc.ru
Россия, 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
Россия, Moscow; Moscow; Moscow; Porto
Дополнительные файлы
