Second-order necessary conditions in optimal control of evolution systems - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Evolution Equations Année : 2022

Second-order necessary conditions in optimal control of evolution systems

Résumé

This paper is devoted to second-order necessary optimality conditions for a class of infinite dimensional optimal control problems under functional pure state constraints together with end point constraints. Using tools of second-order variational analysis, we derive necessary optimality conditions in the form of a minimum principle and a second-order variational inequality. We further propose sufficient conditions guaranteeing normality of the minimum principle. Finally, applications to optimal control models involving PDEs are provided.
Fichier non déposé

Dates et versions

hal-03903938 , version 1 (16-12-2022)

Identifiants

  • HAL Id : hal-03903938 , version 1

Citer

Hélène Frankowska, Elsa Maria Marchini, Marco Mazzola. Second-order necessary conditions in optimal control of evolution systems. Journal of Evolution Equations, 2022. ⟨hal-03903938⟩
15 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More