CNRS - Centre National de la Recherche Scientifique : UMR7641, X - École polytechnique, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France, CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
Abstract : We consider an infinite horizon problem with state constraints K : inf Z 1 0 e t'(yx;u(t); u(t))dt u : [ 0 ;+1) ! A measurable yx;u(t) 2 K 8t 0 (P) : where > 0 is fixed and yx;u( ) is a trajectory of the control system ( y_ = f (y; u) a.e. t 0 y(0) = x 2 K We are mainly concerned with a characterization of the value function of (P) as the bilateral solution to a Hamilton-Jacobi-Bellman equation.
Type de document :
Document associé à des manifestations scientifiques
NETCO 2014 - New Trends in Optimal Control, Mar 2014, Tours, France
https://hal.inria.fr/hal-01024622
Contributeur : Estelle Bouzat
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Soumis le : mercredi 16 juillet 2014 - 14:01:22
Dernière modification le : jeudi 10 mai 2018 - 02:05:51
Document(s) archivé(s) le : lundi 24 novembre 2014 - 16:23:01
Cristopher Hermosilla, Hasnaa Zidani. Optimal control problems on stratifiable state constraints sets.. NETCO 2014 - New Trends in Optimal Control, Mar 2014, Tours, France. 〈hal-01024622〉
