Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

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



Inserted: 21 oct 2016
Last Updated: 24 oct 2016

Year: 2016


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.


Credits | Cookie policy | HTML 5 | CSS 2.1