Equivalent formulations of optimal control problems with maximum cost and applications - INRIA Chile Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

Equivalent formulations of optimal control problems with maximum cost and applications

Résumé

We revisit the optimal control problem with maximum cost with the objective to provide different equivalent reformulations suitable to numerical methods. We propose two reformulations in terms of extended Mayer problems with constraint, and another one in terms of a differential inclusion with upper-semi continuous right member but without constraint. For this last one we also propose an approximation scheme of the optimal value from below. These approaches are illustrated and discussed on several examples.
Fichier principal
Vignette du fichier
min_peak.pdf (518.59 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03587678 , version 1 (24-02-2022)

Identifiants

Citer

Emilio Molina, Alain Rapaport, Hector Ramirez. Equivalent formulations of optimal control problems with maximum cost and applications. 2022. ⟨hal-03587678⟩
112 Consultations
166 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More