# 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 language English 537-558 22 Nonlinear Analysis, Theory, Methods and Applications 39 5 https://doi.org/10.1016/S0362-546X(98)00220-X Published - 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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