Stabilization of a joint-leg-beam system with boundary damping

Zhuangyi Liu; Qiong Zhang

doi:10.1016/j.jmaa.2014.06.032

Stabilization of a joint-leg-beam system with boundary damping

Zhuangyi Liu
, Qiong Zhang

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper we study a model for combined axial and transverse motions of two Euler-Bernoulli beams connected through two legs to a joint. We prove that the joint-leg-beam system is polynomially stable, but not exponentially stable with linear control of velocity feedback.

Original language	English (US)
Pages (from-to)	1455-1467
Number of pages	13
Journal	Journal of Mathematical Analysis and Applications
Volume	420
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2014.06.032
State	Published - Dec 15 2014

Bibliographical note

Funding Information:
This paper is partially supported by National Natural Science Foundation of China ( 60974033 ) and Beijing Municipal Natural Science Foundation ( 4132051 ).

Keywords

Joint-leg-beam
Semigroup
Stabilization

Publisher link

10.1016/j.jmaa.2014.06.032

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title = "Stabilization of a joint-leg-beam system with boundary damping",

abstract = "In this paper we study a model for combined axial and transverse motions of two Euler-Bernoulli beams connected through two legs to a joint. We prove that the joint-leg-beam system is polynomially stable, but not exponentially stable with linear control of velocity feedback.",

keywords = "Joint-leg-beam, Semigroup, Stabilization",

author = "Zhuangyi Liu and Qiong Zhang",

note = "Funding Information: This paper is partially supported by National Natural Science Foundation of China ( 60974033 ) and Beijing Municipal Natural Science Foundation ( 4132051 ).",

year = "2014",

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AU - Liu, Zhuangyi

AU - Zhang, Qiong

N1 - Funding Information: This paper is partially supported by National Natural Science Foundation of China ( 60974033 ) and Beijing Municipal Natural Science Foundation ( 4132051 ).

PY - 2014/12/15

Y1 - 2014/12/15

N2 - In this paper we study a model for combined axial and transverse motions of two Euler-Bernoulli beams connected through two legs to a joint. We prove that the joint-leg-beam system is polynomially stable, but not exponentially stable with linear control of velocity feedback.

AB - In this paper we study a model for combined axial and transverse motions of two Euler-Bernoulli beams connected through two legs to a joint. We prove that the joint-leg-beam system is polynomially stable, but not exponentially stable with linear control of velocity feedback.

KW - Joint-leg-beam

KW - Semigroup

KW - Stabilization

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U2 - 10.1016/j.jmaa.2014.06.032

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M3 - Article

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SN - 0022-247X

VL - 420

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JO - Journal of Mathematical Analysis and Applications

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IS - 2

ER -

Stabilization of a joint-leg-beam system with boundary damping

Abstract

Bibliographical note

Keywords

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