Stability of an interconnected system of Euler–Bernoulli beam and wave equation through boundary coupling

Fei Wang; Jun Min Wang

doi:10.1016/j.sysconle.2020.104664

Stability of an interconnected system of Euler–Bernoulli beam and wave equation through boundary coupling

Fei Wang
, Jun Min Wang^*

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

13 引用（Scopus）

摘要

In this paper, we study the stabilization of a coupled system of Euler–Bernoulli beam through boundary coupling with a wave equation, where the dissipative damping is designed only at the wave equation. By using the Riesz basis approach, we prove the whole system is exponentially stable, which says that the damped wave equation can stabilize the Euler–Bernoulli beam only through boundary coupling. The theoretical results are validated via a numerical simulation.

源语言	英语
期刊论文编号	104664
期刊	Systems and Control Letters
卷	138
DOI	https://doi.org/10.1016/j.sysconle.2020.104664
出版状态	已出版 - 4月 2020

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title = "Stability of an interconnected system of Euler{\textendash}Bernoulli beam and wave equation through boundary coupling",

abstract = "In this paper, we study the stabilization of a coupled system of Euler{\textendash}Bernoulli beam through boundary coupling with a wave equation, where the dissipative damping is designed only at the wave equation. By using the Riesz basis approach, we prove the whole system is exponentially stable, which says that the damped wave equation can stabilize the Euler{\textendash}Bernoulli beam only through boundary coupling. The theoretical results are validated via a numerical simulation.",

keywords = "Dissipative damping, Euler{\textendash}Bernoulli beam, Spectral analysis, Stability, Wave equation",

author = "Fei Wang and Wang, \{Jun Min\}",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.",

year = "2020",

month = apr,

doi = "10.1016/j.sysconle.2020.104664",

language = "English",

volume = "138",

journal = "Systems and Control Letters",

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AU - Wang, Fei

AU - Wang, Jun Min

PY - 2020/4

Y1 - 2020/4

N2 - In this paper, we study the stabilization of a coupled system of Euler–Bernoulli beam through boundary coupling with a wave equation, where the dissipative damping is designed only at the wave equation. By using the Riesz basis approach, we prove the whole system is exponentially stable, which says that the damped wave equation can stabilize the Euler–Bernoulli beam only through boundary coupling. The theoretical results are validated via a numerical simulation.

AB - In this paper, we study the stabilization of a coupled system of Euler–Bernoulli beam through boundary coupling with a wave equation, where the dissipative damping is designed only at the wave equation. By using the Riesz basis approach, we prove the whole system is exponentially stable, which says that the damped wave equation can stabilize the Euler–Bernoulli beam only through boundary coupling. The theoretical results are validated via a numerical simulation.

KW - Dissipative damping

KW - Euler–Bernoulli beam

KW - Spectral analysis

KW - Stability

KW - Wave equation

UR - https://www.scopus.com/pages/publications/85081122315

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DO - 10.1016/j.sysconle.2020.104664

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VL - 138

JO - Systems and Control Letters

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M1 - 104664

ER -

Stability of an interconnected system of Euler–Bernoulli beam and wave equation through boundary coupling

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