Controlling a non-homogeneous Timoshenko beam with the aid of the torque
Grigory M. Sklyar ; Grzegorz Szkibiel
International Journal of Applied Mathematics and Computer Science, Tome 23 (2013), p. 587-598 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:262353 
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     title = {Controlling a non-homogeneous Timoshenko beam with the aid of the torque},
     journal = {International Journal of Applied Mathematics and Computer Science},
     volume = {23},
     year = {2013},
     pages = {587-598},
     zbl = {1279.93023},
     language = {en},
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Grigory M. Sklyar; Grzegorz Szkibiel. Controlling a non-homogeneous Timoshenko beam with the aid of the torque. International Journal of Applied Mathematics and Computer Science, Tome 23 (2013) pp. 587-598. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv23z3p587bwm/

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