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

^*此作品的通讯作者

科研成果: 期刊稿件 › 会议文章 › 同行评审

2 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	113-118
页数	6
期刊	Proceedings of the American Control Conference
卷	1
出版状态	已出版 - 2003
已对外发布	是
活动	2003 American Control Conference - Denver, CO, 美国期限: 4 6月 2003 → 6 6月 2003

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引用此

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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}",

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journal = "Proceedings of the American Control Conference",

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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

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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

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