A simple approach to dynamic stabilization of a rotating body-beam Original Research Article

In this paper, we use the frequency multiplier method to provide a simple proof of an exponential stabilization result, obtained in [B. Chentouf. Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity, J. Appl. Math. 2 (2004) 107–126], for a rotating body-beam system with a control torque applied on the rigid body and either a dynamic boundary control moment or a dynamic boundary control force or both of them applied at the free end of the beam.