Properties of extremals in optimal control problems with state constraints
- 作者: Arutyunov A.V.1,2,3,4, Karamzin D.Y.1,2,3,4
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隶属关系:
- Peoples’ Friendship University of Russia
- Faculty of Computational Mathematics and Cybernetics
- Federal Research Center “Informatics and Control”
- University of Porto
- 期: 卷 52, 编号 11 (2016)
- 页面: 1411-1422
- 栏目: 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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详细
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.
作者简介
A. Arutyunov
Peoples’ Friendship University of Russia; Faculty of Computational Mathematics and Cybernetics; Federal Research Center “Informatics and Control”; University of Porto
编辑信件的主要联系方式.
Email: arutun@orc.ru
俄罗斯联邦, 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
俄罗斯联邦, Moscow; Moscow; Moscow; Porto
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