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exact controlability.

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Control of a clamped-free beam by a piezoelectric actuator
Emmanuelle Crépeau, Christophe Prieur
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 12 / Issue 3 / July 2006

Published online by Cambridge University Press:

20 June 2006, pp. 545-563

Print publication:

July 2006
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We consider a controllability problem for a beam, clamped at one boundary andfree at the other boundary, with an attached piezoelectric actuator. ByHilbert Uniqueness Method (HUM)and new results on diophantine approximations, weprove that the space of exactly initial controllable data depends on thelocation of the actuator. We also illustrate these results with numericalsimulations.