On the stability of limit cycles in nonlinear feedback systems: Analysis using describing functions

DOI10.1109/TCS.1983.1085408zbMath0536.93041MaRDI QIDQ3321942

Gary S. Krenz, Anthony N. Michel, Richard K. Miller

Publication date: 1983

Published in: IEEE Transactions on Circuits and Systems (Search for Journal in Brave)

zbMATH Keywords

nonlinear feedback systemsdescribing function methodstability and instability of 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) Popov-type stability of feedback systems (93D10) Stability for nonlinear problems in mechanics (70K20) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Averaging method for ordinary differential equations (34C29) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Control/observation systems governed by ordinary differential equations (93C15) Stability theory for smooth dynamical systems (37C75) Stability theory for ordinary differential equations (34D99)

Related Items (4)

Oscillations of nonlinear feedback systems which contain tightly coupled subsystems in cascade ⋮ Stability analysis of almost sinusoidal periodic oscillations in nonlinear control systems subjected to nonconstant periodic input ⋮ Analysis of orbital stability in Lur'e system, based on dynamic harmonic balance ⋮ Analysis of Orbital Stability of Self-excited Periodic Motions in Lure System

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