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 (2013)
- Volume: 23, Issue: 3, page 587-598
- ISSN: 1641-876X
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topGrigory M. Sklyar, and Grzegorz Szkibiel. "Controlling a non-homogeneous Timoshenko beam with the aid of the torque." International Journal of Applied Mathematics and Computer Science 23.3 (2013): 587-598. <http://eudml.org/doc/262353>.
@article{GrigoryM2013,
abstract = {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.},
author = {Grigory M. Sklyar, Grzegorz Szkibiel},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {Timoshenko beam; rotating beam control; approximate control; stabilizability},
language = {eng},
number = {3},
pages = {587-598},
title = {Controlling a non-homogeneous Timoshenko beam with the aid of the torque},
url = {http://eudml.org/doc/262353},
volume = {23},
year = {2013},
}
TY - JOUR
AU - Grigory M. Sklyar
AU - Grzegorz Szkibiel
TI - Controlling a non-homogeneous Timoshenko beam with the aid of the torque
JO - International Journal of Applied Mathematics and Computer Science
PY - 2013
VL - 23
IS - 3
SP - 587
EP - 598
AB - 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.
LA - eng
KW - Timoshenko beam; rotating beam control; approximate control; stabilizability
UR - http://eudml.org/doc/262353
ER -
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