<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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 C<sup>0</sup>-continuous semigroups may be applied.</p></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.

Controlling a non-homogeneous Timoshenko beam with the aid of the torque

Institute of Mathematics Szczecin University, ul. Wielkopolska 15, 70-451 Szczecin, Poland

International Journal of Applied Mathematics and Computer Science

{"article-title":"Controlling a non-homogeneous Timoshenko beam with the aid of the torque"}

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...

Controlling a non-homogeneous Timoshenko beam with the aid of the torque

Published Online: Sep 30, 2013

Page range: 587 - 598

DOI: https://doi.org/10.2478/amcs-2013-0044

This content is open access.