Asymptotically stable oscillations in systems with hysteresis nonlinearities

DOI10.1006/JDEQ.1998.3492zbMath0919.34037OpenAlexW2067875964MaRDI QIDQ1275323

Martin Brokate, Alexei V. Pokrovskii

Publication date: 31 August 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3492

zbMATH Keywords

periodic solutionsordinary differential equationshysteresis nonlinearityasymptotically stable solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Perturbations of ordinary differential equations (34D10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (7)

Inversion-free stabilization and regulation of systems with hysteresis via integral action ⋮ A class of differential-delay systems with hysteresis: Asymptotic behaviour of solutions ⋮ Smooth model of system with diode nonlinearity ⋮ Resonance in Preisach systems ⋮ Asymptotic stability of continuum sets of periodic solutions to systems with hysteresis ⋮ Asymptotically stable almost-periodic oscillations in systems with hysteresis nonlinearities ⋮ An indirect adaptive servocompensator for signals of unknown frequencies with application to nanopositioning

Cites Work

• Contributions to stability theory
• Limiting norm of a linear element
• Differential models of hysteresis
• Forced oscillations in control systems with hysteresis
• Hysteresis and phase transitions
• The Thermomechanics of Plasticity and Fracture
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