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

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.
Type de document :
Pré-publication, Document de travail
2016
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https://hal.archives-ouvertes.fr/hal-01387085
Contributeur : Davide Barilari <>
Soumis le : mardi 25 octobre 2016 - 10:37:25
Dernière modification le : mardi 26 septembre 2017 - 01:30:53

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  • HAL Id : hal-01387085, version 1
  • ARXIV : 1610.07556

Citation

Davide Barilari, Boarotto Francesco. On the smoothness of the value function for affine optimal control problems . 2016. 〈hal-01387085〉

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