Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue ESAIM: Control, Optimisation and Calculus of Variations Année : 2020

Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space

Résumé

We consider the finite-time stabilization of homogeneous quasilinear hyperbolic systems with one side controls and with nonlinear boundary condition at the other side. We present time-independent feedbacks leading to the finite-time stabilization in any time larger than the optimal time for the null controllability of the linearized system if the initial condition is sufficiently small. One of the key technical points is to establish the local well-posedness of quasilinear hyperbolic systems with nonlinear, non-local boundary conditions.
Fichier principal
Vignette du fichier
cocv200046.pdf (471.31 Ko) Télécharger le fichier
Origine : Publication financée par une institution

Dates et versions

hal-03080852 , version 1 (17-12-2020)

Identifiants

Citer

Jean-Michel Coron, Hoai-Minh Nguyen. Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space. ESAIM: Control, Optimisation and Calculus of Variations, 2020, 26, pp.119. ⟨10.1051/cocv/2020061⟩. ⟨hal-03080852⟩
40 Consultations
37 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More