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Zbl 1145.49022
Cannarsa, P.; Rifford, L.
Semiconcavity results for optimal control problems admitting no singular minimizing controls. (English)
[J] Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 4, 773-802 (2008). ISSN 0294-1449

Summary: Semiconcavity results have generally been obtained for optimal control problems in absence of state constraints. In this paper, we prove the semiconcavity of the value function of an optimal control problem with end-point constraints for which all minimizing controls are supposed to be nonsingular.
MSC 2000:
*49N60 Regularity of solutions in the calculus of variations
53C17 Sub-Riemannian geometry

Keywords: optimal control; semiconcavity; sub-Riemannian geometry

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