Journal Title
Title of Journal: Math Control Signals Syst
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Abbravation: Mathematics of Control, Signals, and Systems
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Publisher
Springer-Verlag
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Authors: Christophe Prieur Joseph Winkin Georges Bastin
Publish Date: 2008/05/27
Volume: 20, Issue: 2, Pages: 173-197
Abstract
The stability problem of a system of conservation laws perturbed by nonhomogeneous terms is investigated These nonhomogeneous terms are assumed to have a small C 1norm 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 SaintVenant equations perturbed by small nonhomogeneous terms that account for the friction effects as well as external water supplies or withdrawals
Keywords:
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