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On the Brachistochrone problem with state constraints on the slope angleстатья
- Авторы: Cherkasov O.Yu, Smirnova N.V.
- Журнал: International Journal of Non-Linear Mechanics
- Год издания: 2022
- Издательство: Pergamon Press Ltd.
- Местоположение издательства: United Kingdom
- DOI: 10.1016/j.ijnonlinmec.2021.103871
- Аннотация: The problem of maximizing the horizontal coordinate of a point moving in a vertical plane under the action of gravity forces, viscous friction, and the interrelated Brachistochrone problem are investigated. It is assumed that inequality-type constraints are imposed on the trajectory inclination angle. The optimal control problem with state constraints is reduced to the problem with control constraints. As a result, the sequence and the number of the reaching the phase constraints for the original problem are determined and the synthesis of the optimal control is designed.
- Добавил в систему: Черкасов Олег Юрьевич
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | Полный текст | On_the_Brachistochrone_problem_with_state_constraints_on_th… | 1,2 МБ | 5 октября 2022 [Cherkasov] |