Displaying similar documents to “Semiconcavity results for optimal control problems admitting no singular minimizing controls”

Interior sphere property for level sets of the value function of an exit time problem

Marco Castelpietra (2009)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider an optimal control problem for a system of the form x ˙ = , with a running cost . We prove an interior sphere property for the level sets of the corresponding value function . From such a property we obtain a semiconcavity result for , as well as perimeter estimates for the attainable sets of a symmetric control system.