A theoretical justification of the method of harmonic balance for systems with discontinuities

DOI10.1216/rmjm/1181073064zbMath0726.34017OpenAlexW2035887404MaRDI QIDQ802825

Jack W. Macki, Pietro Zecca, Paolo Nistri

Publication date: 1990

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073064

zbMATH Keywords

differential inclusionsperiodic solutionsfixed point theoryFourier seriesdegree theoryharmonic balance methodfinite-dimensional approximationconvex-valued multifunctions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential inclusions (34A60) Averaging method for ordinary differential equations (34C29)

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Cites Work

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• Control of nonlinear variable structure systems
• Periodic oscillations in systems with hysteresis
• On the existence of self-excited oscillations in systems with discontinuous elements
• A survey of degree theory: Basis and development
• Describing Functions: Ten Years On
• A calculus for computing Filippov's differential inclusion with application to the variable structure control of robot manipulators
• On Existence of Periodic Motions in Nonlinear Control Systems with Periodic Inputs
• Describing functions revisited
• Variable structure systems with sliding modes
• <tex>L_infty</tex>-stability criteria for interconnected systems using exponential weighting
• Error Bounds for General Describing Function Problems

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