Stabilization of Timoshenko beam by means of pointwise controls
Gen-Qi Xu, Siu Pang Yung (2003)
ESAIM: Control, Optimisation and Calculus of Variations
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We intend to conduct a fairly complete study on Timoshenko beams with pointwise feedback controls and seek to obtain information about the eigenvalues, eigenfunctions, Riesz-Basis-Property, spectrum-determined-growth-condition, energy decay rate and various stabilities for the beams. One major difficulty of the present problem is the non-simplicity of the eigenvalues. In fact, we shall indicate in this paper situations where the multiplicity of the eigenvalues is at least two. We build...