Morgül, Ö.2016-02-082016-02-0819920018-9286http://hdl.handle.net/11693/26154We consider a flexible beam clamped to a rigid base at one end and free at the other end. To stabilize the beam vibrations, we propose a dynamic boundary force control and a dynamic boundary torque control applied at the free end of the beam. We prove that with the proposed controls, the beam vibrations decay exponentially. The proof uses a Lyapunov functional based on the energy functional of the system. © 1992 IEEEEnglishControl, Mechanical Variables - TorquesDynamicsEquations of MotionMathematical Techniques - Eigenvalues and EigenfunctionsVibrationsBeam VibrationsDynamic Boundary ControlEuler-Bernoulli BeamFlexible BeamLyapunov FunctionalBeams and GirdersArticle10.1109/9.135504