Exact boundary controllability of nodal profile for Saint-Venant system on a network with loops
Zhuang K, Leugering G, Li T (2019)
Publication Type: Journal article
Publication year: 2019
Journal
Book Volume: 129
Pages Range: 34-60
DOI: 10.1016/j.matpur.2018.10.001
Abstract
The exact boundary controllability for hyperbolic systems can not be realized generally on a network with loops (see [16]). In this paper we consider the exact boundary controllability of nodal profile on a network with loops. Precisely speaking, on a network with a triangle-like loop, when nodal profiles are given at various kinds of nodes, different constructive methods can be used to get the corresponding exact boundary controllability of nodal profile for Saint-Venant system by means of boundary controls acting on suitable nodes, respectively. This reveals that the exact boundary controllability of nodal profile is quite different from the usual exact boundary controllability, and has relatively distinctive behaviors and characters. (C) 2018 Elsevier Masson SAS. All rights reserved.
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APA:
Zhuang, K., Leugering, G., & Li, T. (2019). Exact boundary controllability of nodal profile for Saint-Venant system on a network with loops. Journal De Mathematiques Pures Et Appliquees, 129, 34-60. https://dx.doi.org/10.1016/j.matpur.2018.10.001
MLA:
Zhuang, Kaili, Günter Leugering, and Tatsien Li. "Exact boundary controllability of nodal profile for Saint-Venant system on a network with loops." Journal De Mathematiques Pures Et Appliquees 129 (2019): 34-60.
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