Optimal Control and Maximum Principle in (B)-Spaces. Examples for PDE in (H)-Spaces and ODE in\({{\mathbb{R}}^{n}}\)
- Авторлар: Prilepko A.1
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Мекемелер:
- Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
- Шығарылым: Том 100, № 3 (2019)
- Беттер: 508-513
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225733
- DOI: https://doi.org/10.1134/S1064562419060048
- ID: 225733
Дәйексөз келтіру
Аннотация
Observation and control problems in Banach (B)-spaces are investigated. A criterion for controllability and optimal controllability is formulated on the basis of the BUME method and the monotone mapping method. An inverse controllability problem is introduced, and an abstract maximum principle is formulated in (B)-spaces. For PDE in Hilbert (H)-spaces and for ODE in \({{\mathbb{R}}^{n}}\), an integral maximum principle is proved and an optimality system is presented.
Авторлар туралы
A. Prilepko
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
Хат алмасуға жауапты Автор.
Email: prilepko.ai@yandex.ru
Ресей, Moscow, 119991