| Issue |
ESAIM: COCV
Volume 20, Number 2, April-June 2014
|
|
|---|---|---|
| Page(s) | 339 - 361 | |
| DOI | https://doi.org/10.1051/cocv/2013066 | |
| Published online | 06 February 2014 | |
Exact boundary synchronization for a coupled system of 1-D wave equations
1
School of Mathematical Sciences, Fudan University, Shanghai Key
Laboratory for Contemporary Applied Mathematics; Nonlinear Mathematical Modeling and
Methods Laboratory, Shanghai
200433,
China
dqli@fudan.edu.cn; 10110180015@fudan.edu.cn
2
Institut de Recherche Mathématique Avancée, Université de
Strasbourg, 67084
Strasbourg,
France
rao@math.u-strasbg.fr
Received:
29
September
2012
Revised:
24
May
2013
Several kinds of exact synchronizations and the generalized exact synchronization are introduced for a coupled system of 1-D wave equations with various boundary conditions and we show that these synchronizations can be realized by means of some boundary controls.
Mathematics Subject Classification: 35B37 / 93B05 / 93B07
Key words: Exact null controllability / exact synchronization / exact synchronization by groups / exact null controllability and synchronization by groups / generalized exact synchronization
© EDP Sciences, SMAI, 2014
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