### 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 |

### ASJC Scopus subject areas

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

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## Cite this

Chentouf, B., Xu, C. Z., & Sallet, G. (1998). Boundary velocity feedback stabilization of a vibrating equation with a variable coefficient. In

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