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Peer-reviewedCC BYElectronic Journal of Differential Equations

Stabilization of a degenerate beam on an elastic foundation with axial force under fractional derivative-type delayed boundary feedback

  • Lanzhi Cao1
  • Sheng-Jie Li2
  • Shugen Chai1
  1. 1Shanxi Univ., Taiyuan, China
  2. 2Fudan Univ., Shanghai, China
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Abstract

In this article, we investigate the exponential stabilization of a degenerate Euler-Bernoulli beam on an elastic foundation with axial force. The control input at the boundary features a fractional derivative-type delay. We construct a tailored Lyapunov functional, specifically designed to offset the effects of time delay and capture the intrinsic internal dynamics of the degenerate beam, thereby rigorously establishing the exponential stability of the system.

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Cite

BibTeXRIS
BibTeX
@article{cao2026stabilization,
  title = {{Stabilization of a degenerate beam on an elastic foundation with axial force under fractional derivative-type delayed boundary feedback}},
  author = {Lanzhi Cao and Sheng-Jie Li and Shugen Chai},
  journal = {Electronic Journal of Differential Equations},
  year = {2026},
  month = sep,
  url = {http://ejde.math.txstate.edu/Volumes/2026/73/abstr.html},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Stabilization of a degenerate beam on an elastic foundation with axial force under fractional derivative-type delayed boundary feedback
AU  - Lanzhi Cao
AU  - Sheng-Jie Li
AU  - Shugen Chai
PY  - 2026
DA  - 2026/09/01
JO  - Electronic Journal of Differential Equations
UR  - http://ejde.math.txstate.edu/Volumes/2026/73/abstr.html
AB  - In this article, we investigate the exponential stabilization of a degenerate Euler-Bernoulli beam on an elastic foundation with axial force. The control input at the boundary features a fractional derivative-type delay. We construct a tailored Lyapunov functional, specifically designed to offset the effects of time delay and capture the intrinsic internal dynamics of the degenerate beam, thereby rigorously establishing the exponential stability of the system.
SN  - 1072-6691
ER  -