Abstract
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 \(M\subset \mathbb {R}^n\) 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.
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Aseev, S.M. (2020). A Problem of Dynamic Optimization in the Presence of Dangerous Factors. In: Tarasyev, A., Maksimov, V., Filippova, T. (eds) Stability, Control and Differential Games. Lecture Notes in Control and Information Sciences - Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-030-42831-0_24
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DOI: https://doi.org/10.1007/978-3-030-42831-0_24
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