Basis property of a Rayleigh beam with boundary stabilization
Journal of Optimization Theory and Applications
Boundary Feedback Stabilization of a Variant of the SCOLE Model
Journal of Dynamical and Control Systems
Optimal Energy Decay for a Nonhomogeneous Flexible Beam with a Tip Mass
Journal of Dynamical and Control Systems
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The problem of boundary feedback stabilization of a Euler-Bernoulli beam with an endmass is considered. Using a method of compact perturbation, the lack of uniform stabilization is proved in the case of a clamped beam with the usual boundary feedbacks applied to the end with the mass. Next, the uniform stabilization when the usual boundary feedbacks are applied to the end without the mass is proved. Also the uniform decay of energy by means of higher-order feedbacks applied to the end with the mass is established.