Interior sphere property of attainable sets and time optimal control problems
Piermarco Cannarsa, Hélène Frankowska (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper studies the attainable set at time for the control system showing that, under suitable assumptions on , such a set satisfies a uniform interior sphere condition. The interior sphere property is then applied to recover a semiconcavity result for the value function of time optimal control problems with a general target, and to deduce C-regularity for boundaries of attainable sets.