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Range maximization and Brachistochrone problem with friction and thrustстатья
Дата последнего поиска статьи во внешних источниках: 23 ноября 2017 г.
- Авторы: Cherkasov O.Yu, Zarodnyuk A.V.
- Журнал: Mathematics in Engineering, Science and Aerospace
- Том: 8
- Номер: 3
- Год издания: 2017
- Издательство: Cambridge Scientific Publishers
- Местоположение издательства: Cambridge
- Первая страница: 265
- Последняя страница: 274
- Аннотация: The range maximization problem and corresponding the brachistochrone problem withCoulomb, viscous friction and accelerating force are considered. Normal component of the reactionforce and the thrust are considered as a control variables. A Maximum Principle procedure is appliedto reduce optimal problem to the boundary-value problem for the system of two nonlinear differentialequations. Solutions of this system are corresponding to the motion under singular control for normalcomponent of the reaction force and “bang-bang” control for the thrust. The qualitative analysis of thesolutions is carried out. It allows to install the characteristic properties of the trajectories, unnoticed in a number of publications as well as to confirm the hypothesis and the results of numerical calculations presented in other sources.
- Добавил в систему: Черкасов Олег Юрьевич