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We consider the exact controllability of a hybrid system consisting of an elastic beam, clamped at one end and attached at the other end to a rigid antenna. Such a system is governed by one partial differential equation and two ordinary differential equations. Using the HUM method, we prove that the hybrid system is exactly controllable in an arbitrarily short time in the usual energy space.
@article{COCV_2001__6__183_0,
author = {Rao, Bopeng},
title = {Exact boundary controllability of a hybrid system of elasticity by the {HUM} method},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {183--199},
publisher = {EDP-Sciences},
volume = {6},
year = {2001},
mrnumber = {1816072},
zbl = {0962.93048},
language = {en},
url = {http://geodesic.mathdoc.fr/item/COCV_2001__6__183_0/}
}
TY - JOUR AU - Rao, Bopeng TI - Exact boundary controllability of a hybrid system of elasticity by the HUM method JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2001 SP - 183 EP - 199 VL - 6 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/item/COCV_2001__6__183_0/ LA - en ID - COCV_2001__6__183_0 ER -
%0 Journal Article %A Rao, Bopeng %T Exact boundary controllability of a hybrid system of elasticity by the HUM method %J ESAIM: Control, Optimisation and Calculus of Variations %D 2001 %P 183-199 %V 6 %I EDP-Sciences %U http://geodesic.mathdoc.fr/item/COCV_2001__6__183_0/ %G en %F COCV_2001__6__183_0
Rao, Bopeng. Exact boundary controllability of a hybrid system of elasticity by the HUM method. ESAIM: Control, Optimisation and Calculus of Variations, Tome 6 (2001), pp. 183-199. http://geodesic.mathdoc.fr/item/COCV_2001__6__183_0/