Optimal energy decay for a nonhomogeneous flexible beam with a tip mass (Q885021)
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scientific article; zbMATH DE number 5162410
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal energy decay for a nonhomogeneous flexible beam with a tip mass |
scientific article; zbMATH DE number 5162410 |
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Optimal energy decay for a nonhomogeneous flexible beam with a tip mass (English)
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7 June 2007
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The authors propose a simple boundary feedback control moment to stabilize a nonhomogeneous flexible beam with a tip mass. By adopting the Riesz basis approach, they show that the close-loop system is a Riesz spectral system. This enables them to obtain the spectrum-determined growth condition for the exponential stability and optimal decay rate.
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nonhomogeneous beam
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boundary control
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stability
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boundary feedback control
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Riesz basis approach
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spectrum-determined growth condition
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