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      An exponential stability result for the wave equation

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      Author(s)
      Morgül, Ö.
      Date
      2002
      Source Title
      Automatica
      Print ISSN
      0005-1098
      Publisher
      Elsevier
      Volume
      38
      Issue
      4
      Pages
      731 - 735
      Language
      English
      Type
      Article
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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. © 2002 Published by Elsevier Ltd.
      Keywords
      Control theory
      Distributed parameter systems
      Boundary conditions
      Closed loop control systems
      Control equipment
      Linear equations
      Stability
      Transfer functions
      Wave equations
      Dynamic boundary controller
      Distributed parameter control systems
      Permalink
      http://hdl.handle.net/11693/24722
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/S0005-1098(01)00252-7
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      • Department of Electrical and Electronics Engineering 4011
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