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

• Autorzy: Sklyar G. M. , Szkibiel G.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Timoshenko beam; rotating beam control; approximate control; stabilizability

PL

belka Timoshenki; sterowanie wiązką; sterowanie aproksymacyjne; stabilizowalność

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2013
• Tom: Vol. 23, no. 3
• Strony: 587--598
• Opis fizyczny: Bibliogr. 16 poz., rys.

Twórcy

autor

Sklyar G. M.

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

autor

Szkibiel G.

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

Bibliografia

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• [12] Sklyar, G.M. and Szkibiel, G. (2007). Spectral properties of non-homogeneous Timoshenko beam and its controllability, Mekhanika Tverdogo Tela (37): 175–183.
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