Exponential Stability of a Spinning Rayleigh Beam with Boundary Control

Chao Yang; Jun Min Wang

doi:10.1007/s10883-025-09751-2

Exponential Stability of a Spinning Rayleigh Beam with Boundary Control

Chao Yang^*
, Jun Min Wang

^*Corresponding author for this work

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

Abstract

We study the boundary stabilization of a spinning Rayleigh beam system, which is modeled by two coupled Rayleigh beam equations. Thorough analysis is made of the asymptotic expressions for eigenvalues and the expansions for corresponding eigenfunctions of the closed-loop system. The well-posedness of the closed-loop system is established in the framework of semigroups as well as the Riesz basis property of the eigenfunctions. The exponential stability of the closed-loop system is deduced from the spectrum determined growth condition.

Original language	English
Article number	30
Journal	Journal of Dynamical and Control Systems
Volume	31
Issue number	4
DOIs	https://doi.org/10.1007/s10883-025-09751-2
Publication status	Published - Dec 2025
Externally published	Yes

Keywords

Coupled system
Exponential stability
Rayleigh beam
Riesz basis

Access to Document

10.1007/s10883-025-09751-2

Cite this

@article{e2d37ae5cd4d42688dc776ef9ff57024,

title = "Exponential Stability of a Spinning Rayleigh Beam with Boundary Control",

abstract = "We study the boundary stabilization of a spinning Rayleigh beam system, which is modeled by two coupled Rayleigh beam equations. Thorough analysis is made of the asymptotic expressions for eigenvalues and the expansions for corresponding eigenfunctions of the closed-loop system. The well-posedness of the closed-loop system is established in the framework of semigroups as well as the Riesz basis property of the eigenfunctions. The exponential stability of the closed-loop system is deduced from the spectrum determined growth condition.",

keywords = "Coupled system, Exponential stability, Rayleigh beam, Riesz basis",

author = "Chao Yang and Wang, \{Jun Min\}",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.",

year = "2025",

month = dec,

doi = "10.1007/s10883-025-09751-2",

language = "English",

volume = "31",

journal = "Journal of Dynamical and Control Systems",

issn = "1079-2724",

publisher = "Springer New York",

number = "4",

}

TY - JOUR

T1 - Exponential Stability of a Spinning Rayleigh Beam with Boundary Control

AU - Yang, Chao

AU - Wang, Jun Min

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.

PY - 2025/12

Y1 - 2025/12

N2 - We study the boundary stabilization of a spinning Rayleigh beam system, which is modeled by two coupled Rayleigh beam equations. Thorough analysis is made of the asymptotic expressions for eigenvalues and the expansions for corresponding eigenfunctions of the closed-loop system. The well-posedness of the closed-loop system is established in the framework of semigroups as well as the Riesz basis property of the eigenfunctions. The exponential stability of the closed-loop system is deduced from the spectrum determined growth condition.

AB - We study the boundary stabilization of a spinning Rayleigh beam system, which is modeled by two coupled Rayleigh beam equations. Thorough analysis is made of the asymptotic expressions for eigenvalues and the expansions for corresponding eigenfunctions of the closed-loop system. The well-posedness of the closed-loop system is established in the framework of semigroups as well as the Riesz basis property of the eigenfunctions. The exponential stability of the closed-loop system is deduced from the spectrum determined growth condition.

KW - Coupled system

KW - Exponential stability

KW - Rayleigh beam

KW - Riesz basis

UR - https://www.scopus.com/pages/publications/105018672178

U2 - 10.1007/s10883-025-09751-2

DO - 10.1007/s10883-025-09751-2

M3 - Article

AN - SCOPUS:105018672178

SN - 1079-2724

VL - 31

JO - Journal of Dynamical and Control Systems

JF - Journal of Dynamical and Control Systems

IS - 4

M1 - 30

ER -

Exponential Stability of a Spinning Rayleigh Beam with Boundary Control

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this