Periodic oscillations in electrostatic actuators under time delayed feedback controller

DOI10.1016/j.cnsns.2024.107840arXiv2305.00103OpenAlexW4391147369WikidataQ129403471 ScholiaQ129403471MaRDI QIDQ6203094

Pablo Amster, John A. Arredondo, Andrés Rivera

Publication date: 27 February 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.00103

zbMATH Keywords

stabilityperiodic solutionsdelay equationfeedback controllermicroelectromechanical systems (MEMS)

Mathematics Subject Classification ID

Feedback control (93B52) Vibrations in dynamical problems in solid mechanics (74H45) Electromagnetic effects in solid mechanics (74F15) Periodic solutions to functional-differential equations (34K13)

Cites Work

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• NONAUTONOMOUS SADDLE-NODE BIFURCATION IN A CANONICAL ELECTROSTATIC MEMS
• Topological Degree and Stability of Periodic Solutions for Certain Differential Equations
• A Lyapunov-type stability criterion using $L^\alpha $ norms

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