On the stabilization of a vibrating equation

B. Chentouf, C. Z. Xu, G. Sallet

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The modelization of a flexible torque arm, controlled by two feedback laws to be determined, is studied. Results show that a nonlinear boundary velocity feedback is sufficient to stabilized asymptotically the vibrating equation. Moreover, under growth conditions on the feedback, the uniform and the rational decay rate of the energy is also estimated.

Original languageEnglish
Pages (from-to)537-558
Number of pages22
JournalNonlinear Analysis, Theory, Methods and Applications
Volume39
Issue number5
DOIs
Publication statusPublished - Feb 2000

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics

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