Pontryagin maximum principle, relaxation, and controllability
- Авторлар: Avakov E.1, Magaril-Il’yaev G.2,3
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Мекемелер:
- Trapeznikov Institute of Control Sciences
- Faculty of Mechanics and Mathematics
- Kharkevich Institute for Information Transmission Problems
- Шығарылым: Том 93, № 2 (2016)
- Беттер: 193-196
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223542
- DOI: https://doi.org/10.1134/S1064562416020216
- ID: 223542
Дәйексөз келтіру
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.
Авторлар туралы
E. Avakov
Trapeznikov Institute of Control Sciences
Email: magaril@mech.math.msu.su
Ресей, Profsoyuznaya ul. 65, Moscow, 117997
G. Magaril-Il’yaev
Faculty of Mechanics and Mathematics; Kharkevich Institute for Information Transmission Problems
Хат алмасуға жауапты Автор.
Email: magaril@mech.math.msu.su
Ресей, Moscow, 119992; Bolshoi Karetnyi per. 19/1, Moscow, 127994