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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

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 languageEnglish (US)
Title of host publication2004 43rd IEEE Conference on Decision and Control (CDC)
Pages5077-5082
Number of pages6
Volume5
DOIs
StatePublished - 2004
Event2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas
Duration: Dec 14 2004Dec 17 2004

Other

Other2004 43rd IEEE Conference on Decision and Control (CDC)
CountryBahamas
CityNassau
Period12/14/0412/17/04

Fingerprint

Asymptotic stability
Damping

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality
  • Chemical Health and Safety

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) (Vol. 5, pp. 5077-5082). [FrC01.4] https://doi.org/10.1109/CDC.2004.1429612
Zhao, Haiyu ; Rahn, Christopher D. / On the boundedness of damped strings and beams with boundary and distributed inputs. 2004 43rd IEEE Conference on Decision and Control (CDC). Vol. 5 2004. pp. 5077-5082
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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). vol. 5, FrC01.4, 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). Vol. 5 2004. p. 5077-5082 FrC01.4.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Zhao H, Rahn CD. On the boundedness of damped strings and beams with boundary and distributed inputs. In 2004 43rd IEEE Conference on Decision and Control (CDC). Vol. 5. 2004. p. 5077-5082. FrC01.4 https://doi.org/10.1109/CDC.2004.1429612