On the stabilization of a vibrating equation

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

doi:10.1016/S0362-546X(98)00220-X

On the stabilization of a vibrating equation

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 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
Pages (from-to)	537-558
Number of pages	22
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	39
Issue number	5
DOIs	https://doi.org/10.1016/S0362-546X(98)00220-X
Publication status	Published - Feb 2000
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/S0362-546X(98)00220-X

Cite this

@article{ac036687315743148dc0ca95b49238ac,

title = "On the stabilization of a vibrating equation",

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.",

author = "B. Chentouf and Xu, {C. Z.} and G. Sallet",

year = "2000",

month = feb,

doi = "10.1016/S0362-546X(98)00220-X",

language = "English",

volume = "39",

pages = "537--558",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Limited",

number = "5",

}

TY - JOUR

T1 - On the stabilization of a vibrating equation

AU - Chentouf, B.

AU - Xu, C. Z.

AU - Sallet, G.

PY - 2000/2

Y1 - 2000/2

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0034140349&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034140349&partnerID=8YFLogxK

U2 - 10.1016/S0362-546X(98)00220-X

DO - 10.1016/S0362-546X(98)00220-X

M3 - Article

AN - SCOPUS:0034140349

SN - 0362-546X

VL - 39

SP - 537

EP - 558

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5

ER -

On the stabilization of a vibrating equation

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this