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On Uniqueness and Properties of Periodic Solution of Second-Order Nonautonomous System with Discontinuous Nonlinearity

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Abstract

We consider an automatic control system with discontinuous nonlinearity of non-ideal relay type and continuous external periodic influence. The control object can be either stable or unstable. In both cases, theorems on sufficient conditions for the existence of a unique periodic solution with given properties are obtained.

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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. On Uniqueness and Properties of Periodic Solution of Second-Order Nonautonomous System with Discontinuous Nonlinearity. J Dyn Control Syst 23, 825–837 (2017). https://doi.org/10.1007/s10883-017-9368-5

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  • DOI: https://doi.org/10.1007/s10883-017-9368-5

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