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 all the above-mentioned...
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 all the...
In the present paper, we consider a wave system that is fixed at one end and a boundary control input possessing a partial time delay of weight is applied over the other end. Using a simple boundary velocity feedback law, we show that the closed loop system
generates a
group of linear operators. After a spectral analysis, we show
that the closed loop system is a Riesz one, that is, there is a sequence of eigenvectors and
generalized eigenvectors that forms a Riesz basis for...
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