The Mayer and Minimum Time Problems with Stratified State Constraints *

Abstract : This paper studies optimal control problems with state constraints by imposing structural assumptions on the constraint domain coupled with a tangential restriction with the dynamics. These assumptions replace pointing or controllability assumptions that are common in the literature, and provide a framework under which feasible boundary trajectories can be analyzed directly. The value functions associated with the state constrained Mayer and minimal time problems are characterized as solutions to a pair of Hamilton-Jacobi inequalities with appropriate boundary conditions. The novel feature of these inequalities lies in the choice of the Hamiltonian.
Type de document :
Article dans une revue
Set-Valued and Variational Analysis, Springer, 2017, 〈10.1007/s11228-017-0413-z〉
Liste complète des métadonnées

Littérature citée [28 références]  Voir  Masquer  Télécharger

https://hal-ensta.archives-ouvertes.fr/hal-01517510
Contributeur : Hasnaa Zidani <>
Soumis le : mardi 9 mai 2017 - 16:57:16
Dernière modification le : vendredi 27 avril 2018 - 14:42:02
Document(s) archivé(s) le : jeudi 10 août 2017 - 12:27:47

Fichier

VERSIONMar2017.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Citation

C. Hermosilla, P.R. Wolenski, Hasnaa Zidani. The Mayer and Minimum Time Problems with Stratified State Constraints *. Set-Valued and Variational Analysis, Springer, 2017, 〈10.1007/s11228-017-0413-z〉. 〈hal-01517510〉

Partager

Métriques

Consultations de la notice

221

Téléchargements de fichiers

71