Describing Functions: Ten Years On

DOI10.1093/IMAMAT/32.1-3.221zbMath0543.93029OpenAlexW2150488784MaRDI QIDQ3332870

Alistair I. Mees

Publication date: 1984

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/32.1-3.221

zbMATH Keywords

describing functionshigh nonlinearityoptimized error bounds for limit cycles

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25) Nonlinear ordinary differential equations and systems (34A34) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Research exposition (monographs, survey articles) pertaining to systems and control theory (93-02) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (8)

A survey of models, analysis tools and compensation methods for the control of machines with friction ⋮ Definition and analysis of stability margins for a class of nonlinear systems ⋮ Frequency representations of one‐port networks ⋮ Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems ⋮ Periodic oscillations in systems with hysteresis ⋮ Discussion on: ``Limit cycle analysis of single-loop systems with multiple nonlinearities and parameter uncertainties ⋮ An investigation of forced oscillation for signal stabilisation of two-dimensional nonlinear system ⋮ A theoretical justification of the method of harmonic balance for systems with discontinuities

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