Stabilization of a joint-leg-beam system with boundary damping

Zhuangyi Liu, Qiong Zhang

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this paper we study a model for combined axial and transverse motions of two Euler-Bernoulli beams connected through two legs to a joint. We prove that the joint-leg-beam system is polynomially stable, but not exponentially stable with linear control of velocity feedback.

Original languageEnglish (US)
Pages (from-to)1455-1467
Number of pages13
JournalJournal of Mathematical Analysis and Applications
Volume420
Issue number2
DOIs
StatePublished - Dec 15 2014

Bibliographical note

Funding Information:
This paper is partially supported by National Natural Science Foundation of China ( 60974033 ) and Beijing Municipal Natural Science Foundation ( 4132051 ).

Keywords

  • Joint-leg-beam
  • Semigroup
  • Stabilization

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