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Semiconcavity of the value function for the Bolza control problem
Authors:Nathalie Caroff
Affiliation:Laboratoire MANO, Université de Perpignan, 52 avenue Paul Alduy, 66860 Perpignan Cedex, France
Abstract:In this paper we investigate the regularity of the value function of the Bolza control problem. We propose sufficient conditions for the value function to be semiconcave or locally Lipschitz when the controls are unbounded.
Keywords:Semiconcave function   Hamilton-Jacobi equation   Necessary and sufficient conditions for optimality   Nonlinear optimal control   Value function
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