Gugat M (2003)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2003
Publisher: Society for Industrial and Applied Mathematics
Book Volume: 42
Pages Range: 1056-1070
Journal Issue: 3
URI: http://www.siam.org/journals/sicon/sicon.htm
DOI: 10.1137/S0363012902409660
There are several studies of the boundary controllability of quasi-linear hyperbolic systems where it is assumed that the eigenvalues of the system matrix do not change their signs during the controlled process.
In this paper we consider the flow through a frictionless horizontal rectangular channel that is governed by de St. Venant equations and show that the state can be controlled in finite time from a stationary initial state to a given stationary terminal state in such a way that during this transition, the state stays in the class of C
APA:
Gugat, M. (2003). Boundary Controllability between Sub- and Supercritical Flow. SIAM Journal on Control and Optimization, 42(3), 1056-1070. https://doi.org/10.1137/S0363012902409660
MLA:
Gugat, Martin. "Boundary Controllability between Sub- and Supercritical Flow." SIAM Journal on Control and Optimization 42.3 (2003): 1056-1070.
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