Calculus of Variations and Geometric Measure Theory
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D. Barilari - F. Boarotto

On the smoothness of the value function for affine optimal control problems

created by barilari on 21 Oct 2016
modified on 24 Oct 2016

[BibTeX]

Preprint

Inserted: 21 oct 2016
Last Updated: 24 oct 2016

Year: 2016

Abstract:

We prove that the value function associated with an affine optimal control problem with quadratic cost plus a potential is smooth on an open and dense subset of the interior of its attainable set. The result is obtained by a careful analysis of points of continuity of the value function, without assuming any condition on singular minimizers.


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