The Mayer and Minimum Time Problems with Stratified State Constraints * - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Set-Valued and Variational Analysis Année : 2017

The Mayer and Minimum Time Problems with Stratified State Constraints *

Résumé

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.
Fichier principal
Vignette du fichier
VERSIONMar2017.pdf (352.9 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01517510 , version 1 (09-05-2017)

Identifiants

Citer

C. Hermosilla, P.R. Wolenski, Hasnaa Zidani. The Mayer and Minimum Time Problems with Stratified State Constraints *. Set-Valued and Variational Analysis, 2017, ⟨10.1007/s11228-017-0413-z⟩. ⟨hal-01517510⟩
409 Consultations
318 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More