Local Exponential Stabilization of Semi-Linear Hyperbolic Systems by Means of a Boundary Feedback Control - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue IEEE Control Systems Letters Année : 2018

Local Exponential Stabilization of Semi-Linear Hyperbolic Systems by Means of a Boundary Feedback Control

Résumé

This paper investigates the boundary feedback control for a class of semi-linear hyperbolic partial differential equations with nonlinear relaxation, which is local Lipschitz continuous with a stable matrix structure. A sufficient condition in terms of linear inequalities is developed for the existence of global Cauchy solutions and the exponential stability by seeking a balance between the relaxation term and the boundary condition. These results are illustrated with an application to the boundary feedback control for a class of hyperbolic Lotka-Volterra models.
Fichier principal
Vignette du fichier
semi_hyp_july_1.pdf (708.92 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01575511 , version 1 (21-08-2017)

Identifiants

Citer

Liguo Zhang, Christophe Prieur, Junfei Qiao. Local Exponential Stabilization of Semi-Linear Hyperbolic Systems by Means of a Boundary Feedback Control. IEEE Control Systems Letters, 2018, 2 (1), pp.55-60. ⟨10.1109/LCSYS.2017.2724141⟩. ⟨hal-01575511⟩
177 Consultations
221 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More