Acta mathematica scientia,Series A ›› 2003, Vol. 23 ›› Issue (6): 719-728.

• Articles • Previous Articles     Next Articles

Uniform Stabilization of Timoshenko Beams with Boundary Feedba ck Control

 HU Gen-Qi, FENG De-Xin   

  1. 山西大学数学系 山西太原 030006

    中国科学院数学与系统科学研究院系统科学研究所 北京 100080
  • Online:2003-12-25 Published:2003-12-25
  • Supported by:

    国家自然科学基金(60174008)和山西省自然科学基金资助项目

Abstract:

The uniform stabilization of Timoshenko beams with boundary feedback control is  investigated in the present paper. Under some linear boundary feedback controls,   by spectral analysis of the operator determined by the closed loop system, the a smptotes of spectrum of the operator are gigen. Moreover, the spectral determine d growth assumption for the closed loop system is proved. Furthermore, it is sho wed that there is no spectrum of the operator on the imaginary axis, and hence t he exponential stability of the closed loop system is obtained, and the rate of  exponential decaying is given by the supremum of the real part of spectrum. Fina lly, the distribution of the spectra of the closed loop system is discussed.

Key words: Timoshenko beam, Boundary feedback control, Uniform , stabilization, Asymptotic distribution of spectra

CLC Number: 

  • 93B52
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