Global boundary controllability of the Saint-Venant system for sloped canals with friction |
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Authors: | M. Gugat G. Leugering |
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Affiliation: | Lehrstuhl für Angewandte Mathematik II, Friedrich-Alexander-Universität Erlangen-Nürnberg, Martensstr. 3, D-91058 Erlangen, Germany |
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Abstract: | We consider a sloped canal with friction that is governed by the Saint-Venant system with source term. We show that starting sufficiently close to a stationary constant subcritical initial state, we can control the system in finite time to a state in a C1 neighbourhood of any other stationary constant subcritical state by boundary control at the ends of the canal in such a way that during the process the system state remains continuously differentiable. |
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Keywords: | 93C20 93B05 76B75 |
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