Optimal Energy Decay for a Nonhomogeneous Flexible Beam with a Tip Mass

Authors:
Boumediène Chentouf;Jun-Min Wang
Affiliations:
Department of Mathematics and Statistics, Sultan Qaboos University, Muscat, Oman;Aff2 Aff3
Venue:
Journal of Dynamical and Control Systems
Year:
2007

Citing 6
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Riesz Basis Approach to the Stabilization of a Flexible Beam with a Tip Mass

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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.