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Boundary control design for cascades of hyperbolic 2 * 2 PDE systems via graph theory

Onglets principaux

de Halleux, J. Prieur, C. Bastin, Georges [UCL]

The article is concerned with the design of boundary control laws for stabilizing systems of 2 * 2 first order quasi-linear hyperbolic PDEs. A new graph representation of such systems represents the interactions between the characteristic curves and the boundary control laws, the invariant graph, is introduced. The structure of the invariant graph is used to design stabilizing control laws and an analytical stability condition is given.

Type de document Communication à un colloque (Conference Paper) – Présentation orale avec comité de sélection
Année de publication 2004
Conférence "2004 43rd IEEE Conference on Decision and Control (CDC)", Nassau, Bahamas (14-17 December 2004)
Peer reviewed oui
Document hôte "2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat.No.04CH37601)"- Vol. 3, p. 3313-18 (ISBN : 0-7803-8682-5)
Editeur IEEE
Affiliations UCL - FSA/INMA - Département d'ingénierie mathématique
Liens
Référence bibliographique de Halleux, J. ; Prieur, C. ; Bastin, Georges. Boundary control design for cascades of hyperbolic 2 * 2 PDE systems via graph theory.2004 43rd IEEE Conference on Decision and Control (CDC) (Nassau, Bahamas, 14-17 December 2004). In: 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat.No.04CH37601), IEEE2004, p.Vol. 3, p. 3313-18
Permalien http://hdl.handle.net/2078.1/67978