online read us now
Paper details
Number 3 - September 2013
Volume 23 - 2013
Controlling a non-homogeneous Timoshenko beam with the aid of the torque
Grigory M. Sklyar, Grzegorz Szkibiel
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.
Keywords
Timoshenko beam, rotating beam control, approximate control, stabilizability