Asymptotic Frequency Distributions for Variable Coefficients Rayleigh Beams under Boundary Feedback Control

Jun Min Wang; Quoc Phong Vu; Siu Pang Yung

Asymptotic Frequency Distributions for Variable Coefficients Rayleigh Beams under Boundary Feedback Control

Jun Min Wang^*
, Quoc Phong Vu
, Siu Pang Yung

^*Corresponding author for this work

The University of Hong Kong
Ohio University

Research output: Contribution to journal › Conference article › peer-review

2 Citations (Scopus)

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 [9], 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 [3] is settled.

Original language	English
Pages (from-to)	113-118
Number of pages	6
Journal	Proceedings of the American Control Conference
Volume	1
Publication status	Published - 2003
Externally published	Yes
Event	2003 American Control Conference - Denver, CO, United States Duration: 4 Jun 2003 → 6 Jun 2003

Keywords

Eigenvalue distributions
Rayleight beam
Riesz basis
Strong regularity

Cite this

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title = "Asymptotic Frequency Distributions for Variable Coefficients Rayleigh Beams under Boundary Feedback Control",

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 [9], 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 [3] is settled.",

keywords = "Eigenvalue distributions, Rayleight beam, Riesz basis, Strong regularity",

author = "Wang, \{Jun Min\} and Vu, \{Quoc Phong\} and Yung, \{Siu Pang\}",

year = "2003",

language = "English",

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journal = "Proceedings of the American Control Conference",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "2003 American Control Conference ; Conference date: 04-06-2003 Through 06-06-2003",

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TY - JOUR

T1 - Asymptotic Frequency Distributions for Variable Coefficients Rayleigh Beams under Boundary Feedback Control

AU - Wang, Jun Min

AU - Vu, Quoc Phong

AU - Yung, Siu Pang

PY - 2003

Y1 - 2003

N2 - 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 [9], 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 [3] is settled.

AB - 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 [9], 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 [3] is settled.

KW - Eigenvalue distributions

KW - Rayleight beam

KW - Riesz basis

KW - Strong regularity

UR - https://www.scopus.com/pages/publications/0142248193

M3 - Conference article

AN - SCOPUS:0142248193

SN - 0743-1619

VL - 1

SP - 113

EP - 118

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

T2 - 2003 American Control Conference

Y2 - 4 June 2003 through 6 June 2003

ER -

Asymptotic Frequency Distributions for Variable Coefficients Rayleigh Beams under Boundary Feedback Control

Abstract

Keywords

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