Control of a clamped-free beam by a piezoelectric actuator
ESAIM: Control, Optimisation and Calculus of Variations, Tome 12 (2006) no. 3, pp. 545-563.

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.

DOI : 10.1051/cocv:2006008
Classification : 93C20, 35B75, 35B60
Mots-clés : piezoelectric actuator, metallic beam, exact controlability 
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Crépeau, Emmanuelle; Prieur, Christophe. Control of a clamped-free beam by a piezoelectric actuator. ESAIM: Control, Optimisation and Calculus of Variations, Tome 12 (2006) no. 3, pp. 545-563. doi : 10.1051/cocv:2006008. https://www.numdam.org/articles/10.1051/cocv:2006008/

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