S. Plaskacz & M. Quincampoix


Title: " Discontinuous Mayer Control Problem under state-constraints. "


Abstract: This paper deals with Mayer's problem for control systems with state constraints and - possibly - discontinuous terminal cost. The main result of this paper consists in characterizing the value function in term of unique solution to an Hamilton Jacobi equation. The above characterization extend well-known results already obtained in case of regularity of the cost, and controlability assumptions on the boundary of constraints.










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