On the Modelling and Stabilization of Flows in Networks of Open Canals
Abstract
In this paper, we present a model for the controlled flow of a fluid through a network of canals using a coupled system of St. Venant equations. We then generalize in a variety of ways recent results of Coron, d'Ándréa-Novel, and Bastin concerning the stabilizability around equilibrium of the flow through a single channel. This work is based on the theory of quasilinear hyperbolic systems and, in particular, on a delicate result of Li Ta-tsien concerning the existence and decay of global classical solutions.
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SIAM Journal on Control and Optimization
Pages: 164 - 180
ISSN (online): 1095-7138
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Copyright © 2002 Society for Industrial and Applied Mathematics.
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Published online: 26 July 2006
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