# 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 -

## References

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