Отправить статью по E-mail Pontryagin maximum principle, relaxation, and controllability
- Авторы: Avakov E.1, Magaril-Il’yaev G.2,3
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Учреждения:
- Trapeznikov Institute of Control Sciences
- Faculty of Mechanics and Mathematics
- Kharkevich Institute for Information Transmission Problems
- Выпуск: Том 93, № 2 (2016)
- Страницы: 193-196
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223542
- DOI: https://doi.org/10.1134/S1064562416020216
- ID: 223542
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Аннотация
The relations between the necessary minimum conditions in an optimal control problem (Pontryagin maximum principle), the minimum conditions in the corresponding relaxation (weakened) problem, and sufficient conditions for the local controllability of the controlled system specifying the constraints in the original formulation are studied. An abstract optimization problem that models the basic properties of the optimal control problem is considered.
Об авторах
E. Avakov
Trapeznikov Institute of Control Sciences
Email: magaril@mech.math.msu.su
Россия, Profsoyuznaya ul. 65, Moscow, 117997
G. Magaril-Il’yaev
Faculty of Mechanics and Mathematics; Kharkevich Institute for Information Transmission Problems
Автор, ответственный за переписку.
Email: magaril@mech.math.msu.su
Россия, Moscow, 119992; Bolshoi Karetnyi per. 19/1, Moscow, 127994
