Semiconcavity results for optimal control problems admitting no singular minimizing controlsThis research was completed, in part, while the first author was visiting the Université de Lyon 1 and, in part, while the second author was visiting the Università di Roma Tor Vergata on an INdAM grant. The authors are grateful to the above institutions for their support

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.

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Bibliographic Details
Published inAnnales de l'Institut Henri Poincaré. Analyse non linéaire Vol. 25; no. 4; pp. 773 - 802
Main Authors Cannarsa, P., Rifford, L.
Format Journal Article
LanguageEnglish
Published Elsevier Masson SAS 01.07.2008
Subjects
Optimal control
Semiconcavity
Sub-Riemannian geometry
Sub-Riemannian geometry
Optimal control
Semiconcavity
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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.
ISSN:0294-1449
1873-1430
DOI:10.1016/j.anihpc.2007.07.005