An exponential stability result for the wave equation
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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. © 2002 Published by Elsevier Ltd.
Distributed parameter systems
Closed loop control systems
Dynamic boundary controller
Distributed parameter control systems
Published Version (Please cite this version)http://dx.doi.org/10.1016/S0005-1098(01)00252-7
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