We consider the linear wave equation with Dirichlet boundary conditions in a bounded interval, and with a control acting on a moving point. We give sufficient conditions on the trajectory of the control in order to have the exact controllability property.
Mots-clés : exact controllability, wave equation, pointwise control
@article{COCV_2013__19_1_301_0,
author = {Castro, Carlos},
title = {Exact controllability of the 1-d wave equation from a moving interior point},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {301--316},
publisher = {EDP-Sciences},
volume = {19},
number = {1},
year = {2013},
doi = {10.1051/cocv/2012009},
mrnumber = {3023072},
zbl = {1258.93022},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/cocv/2012009/}
}
TY - JOUR AU - Castro, Carlos TI - Exact controllability of the 1-d wave equation from a moving interior point JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2013 SP - 301 EP - 316 VL - 19 IS - 1 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv/2012009/ DO - 10.1051/cocv/2012009 LA - en ID - COCV_2013__19_1_301_0 ER -
%0 Journal Article %A Castro, Carlos %T Exact controllability of the 1-d wave equation from a moving interior point %J ESAIM: Control, Optimisation and Calculus of Variations %D 2013 %P 301-316 %V 19 %N 1 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv/2012009/ %R 10.1051/cocv/2012009 %G en %F COCV_2013__19_1_301_0
Castro, Carlos. Exact controllability of the 1-d wave equation from a moving interior point. ESAIM: Control, Optimisation and Calculus of Variations, Tome 19 (2013) no. 1, pp. 301-316. doi : 10.1051/cocv/2012009. http://archive.numdam.org/articles/10.1051/cocv/2012009/
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