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We study the dynamic behavior and stability of two connected
Rayleigh beams that are subject to, in addition to two sensors and
two actuators applied at the joint point, one of the actuators also
specially distributed along the beams. We show that with the
distributed control employed, there is a set of generalized
eigenfunctions of the closed-loop system, which forms a Riesz basis
with parenthesis for the state space. Then both the
spectrum-determined growth condition and exponential stability...
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