Generalized Maximum Principle in Optimal Control
- Авторлар: Avakov E.R.1,2, Magaril-Il’yaev G.G.2,3
-
Мекемелер:
- Trapeznikov Institute of Control Sciences
- Faculty of Mechanics and Mathematics
- Kharkevich Institute for Information Transmission Problems
- Шығарылым: Том 98, № 3 (2018)
- Беттер: 575-578
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225585
- DOI: https://doi.org/10.1134/S1064562418070116
- ID: 225585
Дәйексөз келтіру
Аннотация
The concept of a local infimum for an optimal control problem is introduced, and necessary conditions for it are formulated in the form of a family of “maximum principles.” If the infimum coincides with a strong minimum, then this family contains the classical Pontryagin maximum principle. Examples are given to show that the obtained necessary conditions strengthen and generalize previously known results.
Авторлар туралы
E. Avakov
Trapeznikov Institute of Control Sciences; Faculty of Mechanics and Mathematics
Хат алмасуға жауапты Автор.
Email: eramag@mail.ru
Ресей, Moscow, 117997; Moscow, 119991
G. Magaril-Il’yaev
Faculty of Mechanics and Mathematics; Kharkevich Institute for Information Transmission Problems
Email: eramag@mail.ru
Ресей, Moscow, 119991; Moscow, 127994
Қосымша файлдар
