Abstract
In this paper, we consider the exponential stabilization issue ofTimoshenko beam with input and output delays. By using theLuenberger observer and Smith predictor we obtain an estimate of thestate of the system, and by the partial state predictor we transformthe delayed system into a without delay system, and then by thecollocated feedback of the without delay system to obtain thecontrol signal. We prove that under the control signal, theTimoshenko beam with output and input delays can be stabilizedexponentially.
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