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Applied Mathematics and Optimization

, Volume 33, Issue 3, pp 253–264 | Cite as

A compact perturbation method for the boundary stabilization of the Rayleigh beam equation

Article

Abstract

We prove that the Rayleigh beam equation can be uniformly exponentially stabilized by only one control moment. We also prove the strong asymptotic stabilization and the lack of uniform exponential stabilization in the case of only one control force.

Key words

Boundary stabilization Compact perturbation Lack of uniform stabilization Uniform decay rate of energy 

AMS classification

Primary 93D15 Secondary 58G18 

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Copyright information

© Springer-Verlag New York Inc 1996

Authors and Affiliations

  • B. Rao
    • 1
  1. 1.Département de MathématiquesUniversité de Nancy I, U. R. A. CNRS 750, Projet Numath, INRIA LorraineVandœuvre-lès-NancyFrance

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