Stackelberg strategy on a degenerate parabolic equation with missing data - Laboratoire des matériaux et molécules en milieu Agressif [UR4_1]
Pré-Publication, Document De Travail Année : 2022

Stackelberg strategy on a degenerate parabolic equation with missing data

Résumé

This paper deals with the hierarchic control of a degenerate parabolic equation with missing initial condition. We present a Stackelberg strategy combining the concept of null controllability with low-regret control. We assume that we can act on the system through a set of hierarchic controls. The main control called the leader is in charge of the null controllability while the second control named the follower solves an optimal control problem involving a missing data. The main novelty of this work is the derivation of a new Carleman inequality for a degenerate system, which is used in a standard way to show observability inequality of the adjoint degenerate systems.
Fichier principal
Vignette du fichier
Manuscript.pdf (413.44 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03771531 , version 1 (07-09-2022)

Identifiants

Citer

Landry Djomegne, Cyrille Kenne, Romario Gildas Foko Tiomela. Stackelberg strategy on a degenerate parabolic equation with missing data. 2022. ⟨hal-03771531⟩
66 Consultations
21 Téléchargements

Altmetric

Partager

More