Exact boundary controllability of a hybrid system of elasticity by the HUMmethod

Authors
Rao, B
Citation
B. Rao, Exact boundary controllability of a hybrid system of elasticity by the HUMmethod, ESAIM CO OP, 6(7), 2001, pp. 183-199
Citations number
16
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
ISSN journal
12623377 → ACNP
Volume
6
Issue
7
Year of publication
2001
Pages
183 - 199
Database
ISI
SICI code
1262-3377(2001)6:7<183:EBCOAH>2.0.ZU;2-L
Abstract
We consider the exact controllability of a hybrid system consisting of an e lastic beam, clamped at one end and attached at the other end to a rigid an tenna. Such a system is governed by one partial differential equation and t wo 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.