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

Boumediène Chentouf, Jun Min Wang

Research output: Contribution to journalArticle

10 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 languageEnglish
Pages (from-to)37-53
Number of pages17
JournalJournal of Dynamical and Control Systems
Volume13
Issue number1
DOIs
Publication statusPublished - Jan 2007

Fingerprint

Flexible Beam
Energy Decay
Asymptotic stability
Feedback control
Riesz Basis
Boundary Control
Exponential Stability
Growth Conditions
Decay Rate
Feedback Control
Moment

Keywords

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

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Optimal energy decay for a nonhomogeneous flexible beam with a tip mass. / Chentouf, Boumediène; Wang, Jun Min.

In: Journal of Dynamical and Control Systems, Vol. 13, No. 1, 01.2007, p. 37-53.

Research output: Contribution to journalArticle

Chentouf, Boumediène ; Wang, Jun Min. / Optimal energy decay for a nonhomogeneous flexible beam with a tip mass. In: Journal of Dynamical and Control Systems. 2007 ; Vol. 13, No. 1. pp. 37-53.
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