|
ИСТИНА |
Войти в систему Регистрация |
ИСТИНА ИНХС РАН |
||
Local Minimum Principle for an Optimal Control Problem with a Nonregular Mixed Constraintстатья
Статья опубликована в высокорейтинговом журнале
Статья опубликована в журнале из списка Web of Science и/или Scopus- Авторы: Dmitruk A.V., Osmolovskii N.P.
- Журнал: SIAM Journal on Control and Optimization
- Том: 60
- Номер: 4
- Год издания: 2022
- Издательство: Society for Industrial and Applied Mathematics
- Местоположение издательства: United States
- Первая страница: 1919
- Последняя страница: 1941
- DOI: 10.48550/arXiv.2202.01707
- Аннотация: We consider the simplest optimal control problem with one nonregular mixed con-straint G(x; u) 6 0; i.e. such a constraint that the gradient Gu(x; u) can vanish on the surfaceG = 0: Using the Dubovitskii{Milyutin theorem on the approximate separation of convex cones,we prove a rst order necessary condition for a weak minimum in the form of the so-called \localminimum principle", which is formulated in terms of functions of bounded variation, integrable func-tions, and Lebesgue-Stieltjes measures, and does not use functionals from (L∞)∗ . Two illustrativeexamples are provided. The work is based on the book by Milyutin [3].
- Добавил в систему: Дмитрук Андрей Венедиктович