Control of a clamped-free beam by a piezoelectric actuator
Emmanuelle Crépeau, Christophe Prieur (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider a controllability problem for a beam, clamped at one boundary and free at the other boundary, with an attached piezoelectric actuator. By Hilbert Uniqueness Method (HUM) and new results on diophantine approximations, we prove that the space of exactly initial controllable data depends on the location of the actuator. We also illustrate these results with numerical simulations.