JournalsaihpcVol. 25, No. 4pp. 773–802

Semiconcavity results for optimal control problems admitting no singular minimizing controls

  • P. Cannarsa

    Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, 1, 00133 Roma, Italy

  • L. Rifford

    Université de Nice-Sophia Antipolis, Labo. J.A. Dieudonné, UMR 6621, Parc Valrose, 06108 Nice, France
Semiconcavity results for optimal control problems admitting no singular minimizing controls cover
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Abstract

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.

Cite this article

P. Cannarsa, L. Rifford, Semiconcavity results for optimal control problems admitting no singular minimizing controls. Ann. Inst. H. Poincaré Anal. Non Linéaire 25 (2008), no. 4, pp. 773–802

DOI 10.1016/J.ANIHPC.2007.07.005