Time-Optimal Control Problem in the Space of Probability Measures
نویسندگان
چکیده
We prove a theorem of existence of time-optimal curves in the space of probability measures, a Dynamic Programming Principle, a controllability result and some comparisons between the classical and the generalized framework. A proper definition of viscosity solution, together with some approximation results, leaded us to prove that the generalization of the minimum time function solves a suitable Hamilton-Jacobi-Bellman equation in the viscosity sense.
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