Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Mathematical Models and Methods in Applied Sciences Année : 2019

Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation

Résumé

In this paper, we study the exponential stabilization of a shock steady state for the inviscid Burgers equation on a bounded interval. Our analysis relies on the construction of an explicit strict control Lyapunov function. We prove that by appropriately choosing the feedback boundary conditions, we can stabilize the state as well as the shock location to the desired steady state in H 2-norm, with an arbitrary decay rate.
Fichier principal
Vignette du fichier
jump-burgers-version-bastin-coron-hayat-shang-HAL.pdf (560.83 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01723361 , version 1 (05-03-2018)
hal-01723361 , version 2 (01-02-2019)

Identifiants

Citer

Georges Bastin, Jean-Michel Coron, Amaury Hayat, Peipei Shang. Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation. Mathematical Models and Methods in Applied Sciences, 2019, 29 (2), pp.271-316. ⟨10.1142/S021820251950009X⟩. ⟨hal-01723361v2⟩
402 Consultations
551 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More