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Abstract: For vibrating systems, a delay in the application of a feedback control candestroy the stabilizing effect of the control. In this paper we consider avibrating string that is fixed at one end and stabilized with a boundaryfeedback with delay at the other end. We show that for certain feedbackparameters the system is exponentially stable with constant delays of the form4L-c, 8L-c, 12L-c

. Moreover, we show that the system is exponentially stablewith piecewise constant delays that attain the values 4L-c and 8L-c.



Author: Martin Gugat, Marius Tucsnak

Source: https://arxiv.org/







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