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^*

^*Corresponding author for this work

School of Mathematics and Statistics

University of Minnesota Duluth

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

1 Citation (Scopus)

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
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
Publication status	Published - 15 Dec 2014

Keywords

Joint-leg-beam
Semigroup
Stabilization

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Liu, Z., & Zhang, Q. (2014). Stabilization of a joint-leg-beam system with boundary damping. Journal of Mathematical Analysis and Applications, 420(2), 1455-1467. https://doi.org/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",

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AU - Zhang, Qiong

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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

DO - 10.1016/j.jmaa.2014.06.032

M3 - Article

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

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

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Keywords

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