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

Boumediène Chentouf, Jun Min Wang

Research output: Contribution to journalArticle

11 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

Keywords

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

ASJC Scopus subject areas

  • Control and Systems Engineering

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