FEEDBACK STABILIZATION OF A TIMOSHENKO BEAM WITH AN END MASS

The boundary feedback control problem of a Timoshenko beam with an end mass is studied in this paper. First, under some nonlinear boundary f eedback controls, the asymptotic stability for the corresponding close d-loop system is shown. Then, with the energy-perturbed approach, it i s proved, under some specific linear feedback controls applied to the tip, that the vibration of the beam decays uniformly; finally, in the case when feedback controls are applied to both the beam ends, the uni form decay is also established.