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: Chapter in Book/Report/Conference proceeding › Conference contribution › 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
Title of host publication	Proceedings of the 2003 American Control Conference, ACC 2003
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	113-118
Number of pages	6
ISBN (Print)	0780378962
Publication status	Published - 2003
Externally published	Yes
Event	2003 American Control Conference, ACC 2003 - Denver, CO, United States Duration: 4 Jun 2003 → 6 Jun 2003

Publication series

Name	Proceedings of the American Control Conference
Volume	1
ISSN (Print)	0743-1619

Conference

Conference	2003 American Control Conference, ACC 2003
Country/Territory	United States
City	Denver, CO
Period	4/06/03 → 6/06/03

Keywords

Eigenvalue distributions
Rayleight beam
Riesz basis
Strong regularity

Cite this

@inproceedings{9c24919d914d49ed82fe23b0aa61d05d,

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",

isbn = "0780378962",

series = "Proceedings of the American Control Conference",

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

pages = "113--118",

booktitle = "Proceedings of the 2003 American Control Conference, ACC 2003",

address = "United States",

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

}

Wang, JM, Vu, QP & Yung, SP 2003, Asymptotic Frequency Distributions for Variable Coefficients Rayleigh Beams under Boundary Feedback Control. in Proceedings of the 2003 American Control Conference, ACC 2003. Proceedings of the American Control Conference, vol. 1, Institute of Electrical and Electronics Engineers Inc., pp. 113-118, 2003 American Control Conference, ACC 2003, Denver, CO, United States, 4/06/03.

Asymptotic Frequency Distributions for Variable Coefficients Rayleigh Beams under Boundary Feedback Control. / Wang, Jun Min; Vu, Quoc Phong; Yung, Siu Pang.
Proceedings of the 2003 American Control Conference, ACC 2003. Institute of Electrical and Electronics Engineers Inc., 2003. p. 113-118 (Proceedings of the American Control Conference; Vol. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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 contribution

AN - SCOPUS:0142248193

SN - 0780378962

T3 - Proceedings of the American Control Conference

SP - 113

EP - 118

BT - Proceedings of the 2003 American Control Conference, ACC 2003

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2003 American Control Conference, ACC 2003

Y2 - 4 June 2003 through 6 June 2003

ER -

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

Abstract

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Keywords

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