Asymptotic frequency distributions for variable coefficients Rayleigh beams under boundary feedback control

Author

Wang, Jun-min ; Vu, Quoc-Phong ; Yung, Siu-Pang

Author_Institution

Dept. of Math., Hong Kong Univ., China

Volume

1

fYear

2003

fDate

4-6 June 2003

Firstpage

113

Abstract

The analysis of the boundary damping rate for eigenmodes of a Rayleigh Beam with variable coefficients is usually difficult because explicit solution formula are hard to come by. In this paper, by using the estimating devices of , we can carry out an asymptotic analysis and conclude that there is a uniform damping rate for the high frequency modes. As a result, Riesz basis property and exponential stability can be deduced and a conjecture in is settled.

Keywords

asymptotic stability; control systems; damping; eigenvalues and eigenfunctions; feedback; partial differential equations; Riesz basis property; asymptotic analysis; asymptotic frequency distributions; boundary damping rate; boundary feedback control; eigenmodes; estimating devices; explicit solution formula; exponential stability; high frequency modes; variable coefficients Rayleigh beams; Control systems; Damping; Differential equations; Eigenvalues and eigenfunctions; Feedback control; Frequency estimation; Mathematics; Partial response channels; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1238923

Filename

1238923