Geodesic
Controlling a non-homogeneous Timoshenko beam with the aid of the torque
International Journal of Applied Mathematics and Computer Science, Tome 23 (2013) no. 3, pp. 587-598.

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Considered is the control and stabilizability of a slowly rotating non-homogeneous Timoshenko beam with the aid of a torque. It turns out that the beam is (approximately) controllable with the aid of the torque if and only if it is (approximately) controllable. However, the controllability problem appears to be a side-effect while studying the stabilizability. To build a stabilizing control one needs to go through the methods of correcting the operators with functionals so that they have finally the appropriate form and the results on C0-continuous semigroups may be applied.
Keywords: Timoshenko beam, rotating beam control, approximate control, stabilizability
Mots-clés : belka Timoshenki, sterowanie wiązką, sterowanie aproksymacyjne, stabilizowalność 
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Sklyar, G. M.; Szkibiel, G. Controlling a non-homogeneous Timoshenko beam with the aid of the torque. International Journal of Applied Mathematics and Computer Science, Tome 23 (2013) no. 3, pp. 587-598. http://geodesic.mathdoc.fr/item/IJAMCS_2013_23_3_a7/

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