Optimal energy decay for a nonhomogeneous flexible beam with a tip mass
type: Item
instance of: scholarly article
title: Optimal energy decay for a nonhomogeneous flexible beam with a tip mass
zbMATH Open document ID: 1124.35009
author: Boumediène Chentouf
author: Junmin Wang
published in: Journal of Dynamical and Control Systems
publication date: 2007-06-07T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35P20
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 5162410
zbMATH Keywords: nonhomogeneous beam
zbMATH Keywords: boundary control
zbMATH Keywords: stability
zbMATH Keywords: boundary feedback control
zbMATH Keywords: Riesz basis approach
zbMATH Keywords: spectrum-determined growth condition
reviewed by: Michael I. Gil'
MaRDI profile type: Publication
full work available at URL: s10883-006-9002-4
OpenAlex ID: W2044325543
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DOI: 10.1007/S10883-006-9002-4
description: scientific article; zbMATH DE number 5162410