期刊
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
卷 41, 期 1, 页码 164-180出版社
SIAM PUBLICATIONS
DOI: 10.1137/S0363012900375664
关键词
St. Venant equations; hyperbolic systems; stabilizability; control of canals
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'Andrea-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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