Boundary feedback stabilization of a three-layer sandwich beam: Riesz basis approach

Jun Min Wang, Bao Zhu Guo, Boumediène Chentouf

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

In this paper, we consider the boundary stabilization of a sandwich beam which consists of two outer stiff layers and a compliant middle layer. Using Riesz basis approach, we show that there is a sequence of generalized eigenfunctions, which forms a Riesz basis in the state space. As a consequence, the spectrum-determined growth condition as well as the exponential stability of the closed-loop system are concluded. Finally, the well-posedness and regularity in the sense of Salamon-Weiss class as well as the exact controllability are also addressed.

Original languageEnglish
Pages (from-to)12-34
Number of pages23
JournalESAIM - Control, Optimisation and Calculus of Variations
Volume12
Issue number1
DOIs
Publication statusPublished - Jan 2006

Keywords

  • Exact controllability
  • Exponential stability
  • Riesz basis
  • Sandwich beam

ASJC Scopus subject areas

  • Control and Systems Engineering

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