Continuous dependence on parameters and boundedness of solutions to a hysteresis system

We analyze an ordinary differential system with a hysteresis-relay nonlinearity in two cases when the system is autonomous or nonautonomous. Sufficient conditions for both the continuous dependence on the system parameters and the boundedness of the solutions to the system are obtained. We give a su...

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Bibliographic Details
Published in:Applications of mathematics (Prague) 2022-02, Vol.67 (1), p.65-80
Main Authors: Kamachkin, Alexander M., Potapov, Dmitriy K., Yevstafyeva, Victoria V.
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Classical and Continuum Physics
Hysteresis
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Optimization
Parameters
Theoretical
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Summary:We analyze an ordinary differential system with a hysteresis-relay nonlinearity in two cases when the system is autonomous or nonautonomous. Sufficient conditions for both the continuous dependence on the system parameters and the boundedness of the solutions to the system are obtained. We give a supporting example for the autonomous system.
ISSN:0862-7940
1572-9109
DOI:10.21136/AM.2021.0085-20