Oscillations of nonlinear feedback systems which contain tightly coupled subsystems in cascade

DOI10.1007/BF01600058zbMath0607.93028MaRDI QIDQ1086205

David A. Hoeflin, Richard K. Miller

Publication date: 1986

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

zbMATH Keywords

limit cyclesfeedback systemsintegral manifoldsdescribing functionsquasi-static stabilitysinusoidal-input

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear systems in control theory (93C10) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) General systems theory (93A99) Invariant manifolds for ordinary differential equations (34C45) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Cites Work

• On the stability of limit cycles in nonlinear feedback systems: Analysis using describing functions
• The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
• Describing functions revisited
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