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.
Publié le : 2000-11-28
Classification:
hybrid system,
unique continuation,
"hybrid system,
weak solution,
exact controllability,
singular control,
unique continuation",
93C20, 35B37,35D05,73K50,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-00129637,
author = {Rao, Bopeng},
title = {Exact boundary controllability of a Hybrid System of Elasticity by the HUM Method.},
journal = {HAL},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00129637}
}
Rao, Bopeng. Exact boundary controllability of a Hybrid System of Elasticity by the HUM Method.. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00129637/