On the boundedness of damped strings and beams with boundary and distributed inputs

Haiyu Zhao; Christopher D. Rahn

doi:10.1109/CDC.2004.1429612

On the boundedness of damped strings and beams with boundary and distributed inputs

Haiyu Zhao, Christopher D. Rahn

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

4 Scopus citations

Abstract

This paper proves the boundedness of boundary and distributed damped strings and Euler-Bernoulli beams under combined distributed and boundary inputs. Distributed viscous or Kelvin-Voigt damping or a translational boundary damper stabilize strings and beams. Pointwise bounded response is proven using the energy multiplier method. Without disturbances, the method proves strong exponential stability. With disturbances, the response is shown to be strongly bounded.

Original language	English (US)
Title of host publication	2004 43rd IEEE Conference on Decision and Control (CDC)
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5077-5082
Number of pages	6
ISBN (Print)	0780386825
DOIs	https://doi.org/10.1109/CDC.2004.1429612
State	Published - 2004
Event	2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas Duration: Dec 14 2004 → Dec 17 2004

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	5
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	2004 43rd IEEE Conference on Decision and Control (CDC)
Country/Territory	Bahamas
City	Nassau
Period	12/14/04 → 12/17/04

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2004.1429612

Cite this

Zhao, H., & Rahn, C. D. (2004). On the boundedness of damped strings and beams with boundary and distributed inputs. In 2004 43rd IEEE Conference on Decision and Control (CDC) (pp. 5077-5082). Article FrC01.4 (Proceedings of the IEEE Conference on Decision and Control; Vol. 5). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2004.1429612

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title = "On the boundedness of damped strings and beams with boundary and distributed inputs",

abstract = "This paper proves the boundedness of boundary and distributed damped strings and Euler-Bernoulli beams under combined distributed and boundary inputs. Distributed viscous or Kelvin-Voigt damping or a translational boundary damper stabilize strings and beams. Pointwise bounded response is proven using the energy multiplier method. Without disturbances, the method proves strong exponential stability. With disturbances, the response is shown to be strongly bounded.",

author = "Haiyu Zhao and Rahn, {Christopher D.}",

year = "2004",

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language = "English (US)",

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note = "2004 43rd IEEE Conference on Decision and Control (CDC) ; Conference date: 14-12-2004 Through 17-12-2004",

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Zhao, H & Rahn, CD 2004, On the boundedness of damped strings and beams with boundary and distributed inputs. in 2004 43rd IEEE Conference on Decision and Control (CDC)., FrC01.4, Proceedings of the IEEE Conference on Decision and Control, vol. 5, Institute of Electrical and Electronics Engineers Inc., pp. 5077-5082, 2004 43rd IEEE Conference on Decision and Control (CDC), Nassau, Bahamas, 12/14/04. https://doi.org/10.1109/CDC.2004.1429612

On the boundedness of damped strings and beams with boundary and distributed inputs. / Zhao, Haiyu; Rahn, Christopher D.
2004 43rd IEEE Conference on Decision and Control (CDC). Institute of Electrical and Electronics Engineers Inc., 2004. p. 5077-5082 FrC01.4 (Proceedings of the IEEE Conference on Decision and Control; Vol. 5).

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

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AU - Zhao, Haiyu

AU - Rahn, Christopher D.

PY - 2004

Y1 - 2004

N2 - This paper proves the boundedness of boundary and distributed damped strings and Euler-Bernoulli beams under combined distributed and boundary inputs. Distributed viscous or Kelvin-Voigt damping or a translational boundary damper stabilize strings and beams. Pointwise bounded response is proven using the energy multiplier method. Without disturbances, the method proves strong exponential stability. With disturbances, the response is shown to be strongly bounded.

AB - This paper proves the boundedness of boundary and distributed damped strings and Euler-Bernoulli beams under combined distributed and boundary inputs. Distributed viscous or Kelvin-Voigt damping or a translational boundary damper stabilize strings and beams. Pointwise bounded response is proven using the energy multiplier method. Without disturbances, the method proves strong exponential stability. With disturbances, the response is shown to be strongly bounded.

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M3 - Conference contribution

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T3 - Proceedings of the IEEE Conference on Decision and Control

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BT - 2004 43rd IEEE Conference on Decision and Control (CDC)

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2004 43rd IEEE Conference on Decision and Control (CDC)

Y2 - 14 December 2004 through 17 December 2004

ER -

On the boundedness of damped strings and beams with boundary and distributed inputs

Abstract

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All Science Journal Classification (ASJC) codes

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