EXACT CONTROLLABILITY OF AN INTERCONNECTED SYSTEM OF EULER-BERNOULLI BEAM AND WAVE EQUATION THROUGH BOUNDARY COUPLING

Fei Wang; Jun Min Wang; Li Wang

doi:10.3934/eect.2026086

EXACT CONTROLLABILITY OF AN INTERCONNECTED SYSTEM OF EULER-BERNOULLI BEAM AND WAVE EQUATION THROUGH BOUNDARY COUPLING

Fei Wang
, Jun Min Wang^*
, Li Wang

^*此作品的通讯作者

School of Basic Education
Beijing Institute of Graphic Communication
Beijing Institute of Technology
School of Mathematics
Jinzhong University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

In this paper, we analyze the exact controllability of an Euler-Bernoulli beam through boundary coupling a wave equation, where a boundary control is designed only at the wave equation. By using spectral analysis, we calculate the asymptotic expansion of the eigenvalues and the eigenfunctions for the corresponding dual system and prove the observability inequality holds. Finally, based on the Hilbert Uniqueness Method, we obtain the exact controllability of the original system.

源语言	英语
页（从-至）	130-144
页数	15
期刊	Evolution Equations and Control Theory
卷	25
DOI	https://doi.org/10.3934/eect.2026086
出版状态	已出版 - 2026
已对外发布	是

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title = "EXACT CONTROLLABILITY OF AN INTERCONNECTED SYSTEM OF EULER-BERNOULLI BEAM AND WAVE EQUATION THROUGH BOUNDARY COUPLING",

abstract = "In this paper, we analyze the exact controllability of an Euler-Bernoulli beam through boundary coupling a wave equation, where a boundary control is designed only at the wave equation. By using spectral analysis, we calculate the asymptotic expansion of the eigenvalues and the eigenfunctions for the corresponding dual system and prove the observability inequality holds. Finally, based on the Hilbert Uniqueness Method, we obtain the exact controllability of the original system.",

keywords = "Euler-Bernoulli beam, exact controllability, spectral analysis, the Hilbert Uniqueness Method, wave equation",

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

year = "2026",

doi = "10.3934/eect.2026086",

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pages = "130--144",

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AU - Wang, Fei

AU - Wang, Jun Min

AU - Wang, Li

PY - 2026

Y1 - 2026

N2 - In this paper, we analyze the exact controllability of an Euler-Bernoulli beam through boundary coupling a wave equation, where a boundary control is designed only at the wave equation. By using spectral analysis, we calculate the asymptotic expansion of the eigenvalues and the eigenfunctions for the corresponding dual system and prove the observability inequality holds. Finally, based on the Hilbert Uniqueness Method, we obtain the exact controllability of the original system.

AB - In this paper, we analyze the exact controllability of an Euler-Bernoulli beam through boundary coupling a wave equation, where a boundary control is designed only at the wave equation. By using spectral analysis, we calculate the asymptotic expansion of the eigenvalues and the eigenfunctions for the corresponding dual system and prove the observability inequality holds. Finally, based on the Hilbert Uniqueness Method, we obtain the exact controllability of the original system.

KW - Euler-Bernoulli beam

KW - exact controllability

KW - spectral analysis

KW - the Hilbert Uniqueness Method

KW - wave equation

UR - https://www.scopus.com/pages/publications/105046110574

U2 - 10.3934/eect.2026086

DO - 10.3934/eect.2026086

M3 - Article

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SN - 2163-2472

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SP - 130

EP - 144

JO - Evolution Equations and Control Theory

JF - Evolution Equations and Control Theory

ER -

EXACT CONTROLLABILITY OF AN INTERCONNECTED SYSTEM OF EULER-BERNOULLI BEAM AND WAVE EQUATION THROUGH BOUNDARY COUPLING

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