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Robust boundary control of systems of conservation laws

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Prieur, Christophe Winkin, Joseph Bastin, Georges [UCL]

The stability problem of a system of conservation laws perturbed by non-homogeneous terms is investigated. These non-homogeneous terms are assumed to have a small C-1-norm. By a Riemann coordinates approach a sufficient stability criterion is established in terms of the boundary conditions. This criterion can be interpreted as a robust stabilization condition by means of a boundary control, for systems of conservation laws subject to external disturbances. This stability result is then applied to the problem of the regulation of the water level and the flow rate in an open channel. The flow in the channel is described by the Saint-Venant equations perturbed by small non-homogeneous terms that account for the friction effects as well as external water supplies or withdrawals.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2008
Language Anglais
Journal information "Mathematics of Control, Signals and Systems" - Vol. 20, no. 2, p. 173-197 (2008)
Peer reviewed yes
Publisher Springer London Ltd (Artington)
issn 0932-4194
e-issn 1435-568X
Publication status Publié
Affiliation UCL - FSA/INMA - Département d'ingénierie mathématique
Keywords conservation laws ; nonlinear PDE ; robust stability ; hydraulic applications
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Bibliographic reference Prieur, Christophe ; Winkin, Joseph ; Bastin, Georges. Robust boundary control of systems of conservation laws. In: Mathematics of Control, Signals and Systems, Vol. 20, no. 2, p. 173-197 (2008)
Permanent URL http://hdl.handle.net/2078.1/37110