The paper considers the uniform stabilization of beams with damping acting at an internal point. We study the exponential decay of the solutions in the energy space. Our method is based on multipliers and compactness--uniqueness argument.
"Uniform stabilization of beams by means of a pointwise feedback." Differential Integral Equations 14 (10) 1153 - 1167, 2001. https://doi.org/10.57262/die/1356123096