On obtaining the stationarity conditions in an optimal control problem for a trajectory with a smooth contact with the phase boundary

Авторы: Andrei Dmitruk, Ivan Samylovskiy
Сборник: Proceedings of 2018 14th International Conference Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2018
Год издания: 2018
Издательство: Institute of Electrical and Electronics Engineers
Местоположение издательства: Piscataway, NJ, United States
Первая страница: 1
Последняя страница: 4
DOI: 10.1109/STAB.2018.8408352
Аннотация: We consider a class of optimal control problems with a scalar state constraint and investigate trajectory with a smooth contact with a single boundary subarc. For trajectory of this special type, we first obtain, using a special technique (two-stage variation approach), stationarity conditions without non-negativity, and then obtain the full set of stationarity conditions in the Dubovitskii-Milyutin form, including the nonnegativity of the measure density and its atoms at the junction points.
Добавил в систему: Самыловский Иван Александрович

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