Optimal energy decay for a nonhomogeneous flexible beam with a tip mass

Boumediène Chentouf; Jun Min Wang

doi:10.1007/s10883-006-9002-4

Optimal energy decay for a nonhomogeneous flexible beam with a tip mass

Boumediène Chentouf^*, Jun Min Wang

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

In this paper, a simple boundary feedback control moment is proposed to stabilize a nonhomogeneous flexible beam with a tip mass. By adopting the Riesz basis approach, it is shown that the close-loop system is a Riesz spectral system. Consequently, the exponential stability, spectrum-determined growth condition, and optimal decay rate are obtained.

Original language	English
Pages (from-to)	37-53
Number of pages	17
Journal	Journal of Dynamical and Control Systems
Volume	13
Issue number	1
DOIs	https://doi.org/10.1007/s10883-006-9002-4
Publication status	Published - Jan 2007

Keywords

Boundary control
Nonhomogeneous beam
Optimal energy decay
Riesz basis
Spectrum-determined growth condition
Uniform stability

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10.1007/s10883-006-9002-4

Cite this

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abstract = "In this paper, a simple boundary feedback control moment is proposed to stabilize a nonhomogeneous flexible beam with a tip mass. By adopting the Riesz basis approach, it is shown that the close-loop system is a Riesz spectral system. Consequently, the exponential stability, spectrum-determined growth condition, and optimal decay rate are obtained.",

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AB - In this paper, a simple boundary feedback control moment is proposed to stabilize a nonhomogeneous flexible beam with a tip mass. By adopting the Riesz basis approach, it is shown that the close-loop system is a Riesz spectral system. Consequently, the exponential stability, spectrum-determined growth condition, and optimal decay rate are obtained.

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KW - Optimal energy decay

KW - Riesz basis

KW - Spectrum-determined growth condition

KW - Uniform stability

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Optimal energy decay for a nonhomogeneous flexible beam with a tip mass

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Keywords

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