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

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Sklyar G., Szkibiel G.

International Journal of Applied Mathematics and Computer Science

2013

tom 23

nr 3

587-598

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.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Sklyar G.

1 Szkibiel G.

1 2013

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