Feedback stabilization of a Timoshenko beam with an end mass

摘要

The boundary feedback control problem of a Timoshenko beam with an end mass is studied in this paper. First, under some nonlinear boundary feedback controls, the asymptotic stability for the corresponding closed-loop system is shown. Then, with the energy-perturbed approach, it is 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 uniform decay is also established. [References: 11]