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

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Abstract

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.

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Authors and Affiliations

  1. Saint Petersburg State University, 7/9, Universitetskaya nab., St. Petersburg, 199034, Russia

    Alexander M. Kamachkin, Dmitriy K. Potapov & Victoria V. Yevstafyeva

Authors
  1. Alexander M. Kamachkin
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  2. Dmitriy K. Potapov
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  3. Victoria V. Yevstafyeva
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Correspondence to Dmitriy K. Potapov.

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Kamachkin, A.M., Potapov, D.K. & Yevstafyeva, V.V. Continuous dependence on parameters and boundedness of solutions to a hysteresis system. Appl Math 67, 65–80 (2022). https://doi.org/10.21136/AM.2021.0085-20

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