Generalized Needles and Second-Order Conditions in Optimal Control
- Autores: Avakov E.R.1,2, Magaril-Il’yaev G.G.2,3,4
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Afiliações:
- V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences
- Faculty of Mechanics and Mathematics
- Institute for Information Transmission Problems (Kharkevich Institute)
- Southern Mathematical Institute — the Affiliate of Vladikavkaz Scientific Centre of the Russian Academy of Sciences
- Edição: Volume 304, Nº 1 (2019)
- Páginas: 8-25
- Seção: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175733
- DOI: https://doi.org/10.1134/S0081543819010024
- ID: 175733
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Resumo
Using generalized needle variations, we derive second-order necessary optimality conditions for a strong minimum in an optimal control problem with endpoint constraints of general form.
Sobre autores
E. Avakov
V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences; Faculty of Mechanics and Mathematics
Autor responsável pela correspondência
Email: eramag@mail.ru
Rússia, Profsoyuznaya ul. 65, Moscow, 117997; Moscow, 119991
G. Magaril-Il’yaev
Faculty of Mechanics and Mathematics; Institute for Information Transmission Problems (Kharkevich Institute); Southern Mathematical Institute — the Affiliate of Vladikavkaz Scientific Centre of the Russian Academy of Sciences
Autor responsável pela correspondência
Email: magaril@mech.math.msu.su
Rússia, Moscow, 119991; Bol’shoi Karetnyi per. 19, str. 1, Moscow, 127051; ul. Vatutina 53, Vladikavkaz, 362025
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