Delayed-feedback control of oscillations in non-linear planar systems

DOI10.1080/00207170110107265zbMath1009.93038OpenAlexW1989336648WikidataQ60148238 ScholiaQ60148238MaRDI QIDQ3151631

Fatihcan M. Atay

Publication date: 16 October 2002

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170110107265

zbMATH Keywords

second-order systemstable periodic solutionamplitudedelayed-feedback control of oscillations

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Control/observation systems governed by functional-differential equations (93C23) Bifurcation theory for ordinary differential equations (34C23) Asymptotic stability in control theory (93D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Control/observation systems governed by ordinary differential equations (93C15)

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Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Delays in physiological systems
• Existence of periodic solutions for negative feedback cellular control systems
• Fundamental theorems of averaging for functional differential equations
• Balancing the inverted pendulum using position feedback
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• Performance improvement using time delays in multivariable controller design
• Exploitation of time delays for improved process control
• Use of time-delay actions in the controller design
• Proportional minus delay controller
• Complex dynamics in metal cutting
• A Novel Active Vibration Absorption Technique: Delayed Resonator
• VAN DER POL'S OSCILLATOR UNDER DELAYED FEEDBACK

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