Analysis of orbital stability in Lur'e system, based on dynamic harmonic balance

DOI10.1016/j.jfranklin.2017.05.012zbMath1367.34075OpenAlexW2613370528MaRDI QIDQ2011870

Igor M. Boiko

Publication date: 27 July 2017

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2017.05.012

zbMATH Keywords

limit cycleorbital stabilityLur'e systemdynamic harmonic balance (DHB) principleLoeb's criterion

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20)

Related Items (2)

Analyzing noise-induced tracking errors in control systems with saturation: a stochastic linearization approach ⋮ Analysis of Orbital Stability of Self-excited Periodic Motions in Lure System

Cites Work

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• Automatic tuning of simple regulators with specifications on phase and amplitude margins
• Analysis of transient oscillations in Lur'e systems with delay, based on dynamic harmonic balance
• HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
• On the stability of limit cycles in nonlinear feedback systems: Analysis using describing functions
• Stability analysis of limit cycles in nonlinear feedback systems using describing functions: Improved results
• The inverse multiple input describing function problem

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