An exponential stability result for the wave equation |
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Authors: | Ömer Morgül |
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Affiliation: | Bilkent University, Dept. of Electrical and Electronics Engineering, 06533, Bilkent, Ankara, Turkey |
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Abstract: | We consider a system described by the one-dimensional linear wave equation in a bounded domain with appropriate boundary conditions. To stabilize this system, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the proposed controller is a proper rational function which consists of a strictly positive real function and some poles on the imaginary axis. We then show that under some conditions the closed-loop system is exponentially stable. |
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Keywords: | Distributed parameter systems Control theory Stability |
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