We consider the exact controllability of a Timoshenko beam system, clamped at one end and attached at the other end to a rigid antenna. Such a system is governed by two partial differential equations and two ordinary differential equations. Using the HUM method, we show that the system is exactly controllable in the usual energy space.
@article{1250281029,
author = {Zhang, Chun-Guo and Hu, Hong-Xiang},
title = {Exact controllability of a Timoshenko beam with dynamical boundary},
journal = {J. Math. Kyoto Univ.},
volume = {47},
number = {3},
year = {2007},
pages = { 643-655},
language = {en},
url = {http://dml.mathdoc.fr/item/1250281029}
}
Zhang, Chun-Guo; Hu, Hong-Xiang. Exact controllability of a Timoshenko beam with dynamical boundary. J. Math. Kyoto Univ., Tome 47 (2007) no. 3, pp. 643-655. http://gdmltest.u-ga.fr/item/1250281029/