Exponential decay rate for a Timoshenko beam with boundary damping

The exponential decay rate of a Timoshenko beam system with boundary damping is studied. By asymptotically analyzing the characteristic determinant of the system, we prove that the Timoshenko beam system is a Riesz system; hence, its decay rate is determined via its spectrum. As a consequence, by sh...

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Bibliographic Details
Published in:Journal of optimization theory and applications 2004-12, Vol.123 (3), p.669-693
Main Authors: XU, G. Q, YUNG, S. P
Format: Article
Language:English
Subjects:
Applied sciences
Boundaries
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Eigenvalues
Eigenvectors
Exact sciences and technology
Mathematical programming
Operational research and scientific management
Operational research. Management science
Spectrum analysis
Studies
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Summary:The exponential decay rate of a Timoshenko beam system with boundary damping is studied. By asymptotically analyzing the characteristic determinant of the system, we prove that the Timoshenko beam system is a Riesz system; hence, its decay rate is determined via its spectrum. As a consequence, by showing that the imaginary axis neither has an eigenvalue on it nor is an asymptote of the spectrum, we conclude that the system is exponentially stable.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-004-5728-x