Asymptotic stability for a class of boundary control systems with non-linear damping

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TitreAsymptotic stability for a class of boundary control systems with non-linear damping
Type de publicationJournal Article
Year of Publication2016
AuteursZwart H, Ramirez H, Le Gorrec Y
JournalIFAC PAPERSONLINE
Volume49
Pagination304-308
Type of ArticleProceedings Paper
ISSN2405-8963
Mots-clésasymptotic stability, Boundary control systems, infinite-dimensional port Hamiltonian systems, non-linear control
Résumé

The asymptotic stability of boundary controlled port-Hamiltonian systems defined on a 1D spatial domain interconnected to a class of non-linear boundary damping is addressed. It is shown that if the port-Hamiltonian system is approximately observable, then any boundary damping which behaves linear for small velocities asymptotically stabilizes the system. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

DOI10.1016/j.ifacol.2016.07.158