An exponential stability result for the wave equation
Author(s)
Date
2002Source Title
Automatica
Print ISSN
0005-1098
Publisher
Elsevier
Volume
38
Issue
4
Pages
731 - 735
Language
English
Type
ArticleItem Usage Stats
209
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235
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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 theoryDistributed 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/11693/24722Published Version (Please cite this version)
http://dx.doi.org/10.1016/S0005-1098(01)00252-7Collections
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