Stability analysis of an Euler-Bernoulli beam with joint controls at an arbitrary internal point

Kun Yi Yang; Jun Min Wang

doi:10.1109/ChiCC.2016.7553284

Stability analysis of an Euler-Bernoulli beam with joint controls at an arbitrary internal point

Kun Yi Yang, Jun Min Wang

School of Mathematics and Statistics

North China University of Technology

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

1 Citation (Scopus)

Abstract

This paper considers pointwise stabilization of an Euler-Bernoulli beam equation where two kinds of feedback are jointed with each other for the arbitrary internal point in the boundary conditions. The asymptotic expressions of the eigenvalues are obtained for all sufficient large positive integers. And then the asymptotical stability and exponential stability have been analyzed by the characteristic equation. It is shown that the pointwise control system is asymptotically stable for all of the jointed internal points and not exponentially stable for any joint internal point.

Original language	English
Title of host publication	Proceedings of the 35th Chinese Control Conference, CCC 2016
Editors	Jie Chen, Qianchuan Zhao, Jie Chen
Publisher	IEEE Computer Society
Pages	1394-1397
Number of pages	4
ISBN (Electronic)	9789881563910
DOIs	https://doi.org/10.1109/ChiCC.2016.7553284
Publication status	Published - 26 Aug 2016
Event	35th Chinese Control Conference, CCC 2016 - Chengdu, China Duration: 27 Jul 2016 → 29 Jul 2016

Publication series

Name	Chinese Control Conference, CCC
Volume	2016-August
ISSN (Print)	1934-1768
ISSN (Electronic)	2161-2927

Conference

Conference	35th Chinese Control Conference, CCC 2016
Country/Territory	China
City	Chengdu
Period	27/07/16 → 29/07/16

Keywords

Euler-Bernoulli beam
eigenvalue
pointwise control system
stability

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10.1109/ChiCC.2016.7553284

Cite this

Yang, K. Y., & Wang, J. M. (2016). Stability analysis of an Euler-Bernoulli beam with joint controls at an arbitrary internal point. In J. Chen, Q. Zhao, & J. Chen (Eds.), Proceedings of the 35th Chinese Control Conference, CCC 2016 (pp. 1394-1397). Article 7553284 (Chinese Control Conference, CCC; Vol. 2016-August). IEEE Computer Society. https://doi.org/10.1109/ChiCC.2016.7553284

@inproceedings{8b14e2414da34b59b64ea086e56ade20,

title = "Stability analysis of an Euler-Bernoulli beam with joint controls at an arbitrary internal point",

abstract = "This paper considers pointwise stabilization of an Euler-Bernoulli beam equation where two kinds of feedback are jointed with each other for the arbitrary internal point in the boundary conditions. The asymptotic expressions of the eigenvalues are obtained for all sufficient large positive integers. And then the asymptotical stability and exponential stability have been analyzed by the characteristic equation. It is shown that the pointwise control system is asymptotically stable for all of the jointed internal points and not exponentially stable for any joint internal point.",

keywords = "Euler-Bernoulli beam, eigenvalue, pointwise control system, stability",

author = "Yang, {Kun Yi} and Wang, {Jun Min}",

note = "Publisher Copyright: {\textcopyright} 2016 TCCT.; 35th Chinese Control Conference, CCC 2016 ; Conference date: 27-07-2016 Through 29-07-2016",

year = "2016",

month = aug,

day = "26",

doi = "10.1109/ChiCC.2016.7553284",

language = "English",

series = "Chinese Control Conference, CCC",

publisher = "IEEE Computer Society",

pages = "1394--1397",

editor = "Jie Chen and Qianchuan Zhao and Jie Chen",

booktitle = "Proceedings of the 35th Chinese Control Conference, CCC 2016",

address = "United States",

}

Yang, KY & Wang, JM 2016, Stability analysis of an Euler-Bernoulli beam with joint controls at an arbitrary internal point. in J Chen, Q Zhao & J Chen (eds), Proceedings of the 35th Chinese Control Conference, CCC 2016., 7553284, Chinese Control Conference, CCC, vol. 2016-August, IEEE Computer Society, pp. 1394-1397, 35th Chinese Control Conference, CCC 2016, Chengdu, China, 27/07/16. https://doi.org/10.1109/ChiCC.2016.7553284

Stability analysis of an Euler-Bernoulli beam with joint controls at an arbitrary internal point. / Yang, Kun Yi; Wang, Jun Min.
Proceedings of the 35th Chinese Control Conference, CCC 2016. ed. / Jie Chen; Qianchuan Zhao; Jie Chen. IEEE Computer Society, 2016. p. 1394-1397 7553284 (Chinese Control Conference, CCC; Vol. 2016-August).

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

TY - GEN

T1 - Stability analysis of an Euler-Bernoulli beam with joint controls at an arbitrary internal point

AU - Yang, Kun Yi

AU - Wang, Jun Min

PY - 2016/8/26

Y1 - 2016/8/26

N2 - This paper considers pointwise stabilization of an Euler-Bernoulli beam equation where two kinds of feedback are jointed with each other for the arbitrary internal point in the boundary conditions. The asymptotic expressions of the eigenvalues are obtained for all sufficient large positive integers. And then the asymptotical stability and exponential stability have been analyzed by the characteristic equation. It is shown that the pointwise control system is asymptotically stable for all of the jointed internal points and not exponentially stable for any joint internal point.

AB - This paper considers pointwise stabilization of an Euler-Bernoulli beam equation where two kinds of feedback are jointed with each other for the arbitrary internal point in the boundary conditions. The asymptotic expressions of the eigenvalues are obtained for all sufficient large positive integers. And then the asymptotical stability and exponential stability have been analyzed by the characteristic equation. It is shown that the pointwise control system is asymptotically stable for all of the jointed internal points and not exponentially stable for any joint internal point.

KW - Euler-Bernoulli beam

KW - eigenvalue

KW - pointwise control system

KW - stability

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DO - 10.1109/ChiCC.2016.7553284

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EP - 1397

BT - Proceedings of the 35th Chinese Control Conference, CCC 2016

A2 - Chen, Jie

A2 - Zhao, Qianchuan

A2 - Chen, Jie

PB - IEEE Computer Society

T2 - 35th Chinese Control Conference, CCC 2016

Y2 - 27 July 2016 through 29 July 2016

ER -

Stability analysis of an Euler-Bernoulli beam with joint controls at an arbitrary internal point

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