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Stabilization of a viscoelastic rotating Euler‐Bernoulli beam |
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| Abstract: | In this paper, we consider a rotating Euler‐Bernoulli beam. The beam is made of a viscoelastic material, and it is subject to undesirable vibrations. Under a suitable control torque applied at the motor, we prove the arbitrary stabilization of the system for a large class of relaxation functions by using the multiplier method and some ideas introduced by Tatar (J. Math. Phys. 52:013502, 2011). |
| Keywords: | rotating Euler‐Bernoulli beam stability vibration control viscoelasticity |
