On the existence of self-excited oscillations in systems with discontinuous elements

DOI10.1007/BF01598144zbMath0511.93037MaRDI QIDQ1839227

S. J. Skar, Richard K. Miller

Publication date: 1983

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

zbMATH Keywords

hysteresisdiscontinuous nonlinearitiesdescribing function methodnonlinear autonomous system

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Control/observation systems governed by ordinary differential equations (93C15) Model systems in control theory (93C99)

Related Items (2)

Periodic oscillations in systems with hysteresis ⋮ A theoretical justification of the method of harmonic balance for systems with discontinuities

Cites Work

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• Functional analysis and Galerkin's method
• Stability of Multi-Machine Power Systems with Nontrivial Transfer Conductances
• On Existence of Periodic Motions in Nonlinear Control Systems with Periodic Inputs
• On existence and nonexistence of limit cycles in interconnected systems
• Describing functions revisited
• On the Response of Nonlinear Control Systems to Periodic Input Signals

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