Global boundary controllability of the Saint-Venant system for sloped canals with friction

Gugat M, Leugering G (2009)

Publication Type: Journal article

Publication year: 2009

Journal

Annales de l'Institut Henri Poincaré - Analyse Non Linéaire Elsevier Masson / Institute Henri Poincaré

Publisher: Elsevier Masson / Institute Henri Poincaré

Book Volume: 26

Pages Range: 257-270

URI: http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6VKB-4RR8YX6-1&_user=616145&_coverDate=02%2F01%2F2008&_alid=714774454&_rdoc=1&_fmt=summary&_orig=search&_cdi=6118&_sort=d&_docanchor=&view=c&_ct=2&_acct=C000032322&_version=1&_urlVersion=0&_userid=616145&md5=31e90bfd85a87331d01e34c56914fa42

DOI: 10.1016/j.anihpc.2008.01.002

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. Moreover, we show that if the derivative of the initial state is sufficiently small, it can be steered to every stationary constant subcritical state in finite time. © 2008.

Authors with CRIS profile

Martin Gugat Lehrstuhl für Angewandte Mathematik Günter Leugering Lehrstuhl für Angewandte Mathematik

How to cite

APA:

Gugat, M., & Leugering, G. (2009). Global boundary controllability of the Saint-Venant system for sloped canals with friction. Annales de l'Institut Henri Poincaré - Analyse Non Linéaire, 26, 257-270. https://dx.doi.org/10.1016/j.anihpc.2008.01.002

MLA:

Gugat, Martin, and Günter Leugering. "Global boundary controllability of the Saint-Venant system for sloped canals with friction." Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 26 (2009): 257-270.

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