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A problem of dynamic optimization in the presence of dangerous factorsстатья
- Автор: Aseev S.M.
- Сборник: Stability, Control and Differential Games
- Серия: Lecture Notes in Control and Information Sciences - Proceedings
- Год издания: 2020
- Место издания: Springer Cham
- Первая страница: 273
- Последняя страница: 281
- DOI: 10.1007/978-3-030-42831-0_24
- Аннотация: We consider an optimal control problem with a mixed functional and free stopping time. Dynamics of the system is given by means of a differential inclusion. The integral term of the functional contains the characteristic function of a given open set M⊂Rn which can be interpreted as a “risk” or “dangerous” zone. The statement of the problem can be treated as a weakening of the statement of the classical optimal control problem with state constraints. We study relationships between these two problems. An illustrative example is presented as well.
- Добавил в систему: Асеев Сергей Миронович