Multi-Control Strategies on a Cubic–Quintic Nonlinear Hybrid Oscillator with External Excitation Under Resonance Conditions

Multi-Control Strategies on a Cubic–Quintic Nonlinear Hybrid Oscillator with External Excitation Under Resonance Conditions

The goal of this article is to reduce the vibration of a hybrid oscillator with a cubic–quintic nonlinear term under internal and external forces in the worst resonance case. To eliminate the harmful vibration in the system, the following strategies are suggested: nonlinear derivative feedback contr...

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Bibliographic Details
Main Authors: Asma Alanazy, Yasser A. Amer, Ashraf Taha EL-Sayed, Fatma Sh. Mohammed, Taher A. Bahnasy
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Mathematics
Subjects:
multiple scale perturbation technique (MSPT)
linear negative velocity feedback (LNVC)
positive position feedback (PPF)
negative derivative feedback (NDF)
resonance case
stability
Online Access:https://www.mdpi.com/2227-7390/13/6/957
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