DISSIPATIVE BOUNDARY CONDITIONS FOR ONE-DIMENSIONAL NONLINEAR HYPERBOLIC SYSTEMS - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2008

DISSIPATIVE BOUNDARY CONDITIONS FOR ONE-DIMENSIONAL NONLINEAR HYPERBOLIC SYSTEMS

(1) , (2) , (3)
1
2
3

Résumé

We give a new sufficient condition on the boundary conditions for the exponential stability of one-dimensional nonlinear hyperbolic systems on a bounded interval. Our proof relies on the construction of an explicit strict Lyapunov function. We compare our sufficient condition with other known sufficient conditions for nonlinear and linear one-dimensional hyperbolic systems.
Fichier principal
Vignette du fichier
2008-SIAM.pdf (390.11 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00923596 , version 1 (03-01-2014)

Identifiants

  • HAL Id : hal-00923596 , version 1

Citer

Jean-Michel Coron, Georges Bastin, Brigitte d'Andréa-Novel. DISSIPATIVE BOUNDARY CONDITIONS FOR ONE-DIMENSIONAL NONLINEAR HYPERBOLIC SYSTEMS. SIAM Journal on Control and Optimization, 2008, 47 (3), pp.1460-1498. ⟨hal-00923596⟩
280 Consultations
642 Téléchargements

Partager

Gmail Facebook Twitter LinkedIn More