### Abstract

This paper deals with boundary stabilization of a vibrating equation with a variable coefficient. We propose a stabilizing nonlinear boundary feedback law which only depends on boundary velocities. Uniform decay rate and rational decay rate of the associated energy are also estimated in terms of growth conditions on the feedback functions.

Original language | English |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |

Pages | 798-802 |

Number of pages | 5 |

Volume | 1 |

Publication status | Published - 1998 |

Event | Proceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) - Tampa, FL, USA Duration: Dec 16 1998 → Dec 18 1998 |

### Other

Other | Proceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) |
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City | Tampa, FL, USA |

Period | 12/16/98 → 12/18/98 |

### Fingerprint

### ASJC Scopus subject areas

- Control and Systems Engineering
- Safety, Risk, Reliability and Quality
- Chemical Health and Safety

### Cite this

*Proceedings of the IEEE Conference on Decision and Control*(Vol. 1, pp. 798-802)

**Boundary velocity feedback stabilization of a vibrating equation with a variable coefficient.** / Chentouf, Boumediane; Xu, Cheng Zhong; Sallet, Gauthier.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Proceedings of the IEEE Conference on Decision and Control.*vol. 1, pp. 798-802, Proceedings of the 1998 37th IEEE Conference on Decision and Control (CDC), Tampa, FL, USA, 12/16/98.

}

TY - CHAP

T1 - Boundary velocity feedback stabilization of a vibrating equation with a variable coefficient

AU - Chentouf, Boumediane

AU - Xu, Cheng Zhong

AU - Sallet, Gauthier

PY - 1998

Y1 - 1998

N2 - This paper deals with boundary stabilization of a vibrating equation with a variable coefficient. We propose a stabilizing nonlinear boundary feedback law which only depends on boundary velocities. Uniform decay rate and rational decay rate of the associated energy are also estimated in terms of growth conditions on the feedback functions.

AB - This paper deals with boundary stabilization of a vibrating equation with a variable coefficient. We propose a stabilizing nonlinear boundary feedback law which only depends on boundary velocities. Uniform decay rate and rational decay rate of the associated energy are also estimated in terms of growth conditions on the feedback functions.

UR - http://www.scopus.com/inward/record.url?scp=0032258476&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032258476&partnerID=8YFLogxK

M3 - Chapter

VL - 1

SP - 798

EP - 802

BT - Proceedings of the IEEE Conference on Decision and Control

ER -