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

Fingerprint

Stabilization
Feedback
Feedback Law
Growth Conditions
Decay Rate
Torque
Sufficient
Energy

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics

Cite this

On the stabilization of a vibrating equation. / Chentouf, B.; Xu, C. Z.; Sallet, G.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 39, No. 5, 02.2000, p. 537-558.

Research output: Contribution to journalArticle

Chentouf, B. ; Xu, C. Z. ; Sallet, G. / On the stabilization of a vibrating equation. In: Nonlinear Analysis, Theory, Methods and Applications. 2000 ; Vol. 39, No. 5. pp. 537-558.
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