Frequency-Domain Criterion for the Global Stability of Dynamical Systems with Prandtl Hysteresis Operator

  • G. A. LeonovEmail author
  • K. D. Aleksandrov


In the present paper, dynamical systems with Prandtl hysteresis operator are considered. For the class of dynamical systems under consideration, a frequency-domain global stability criterion is formulated and proved. For a second-order dynamical system with Prandtl operator, we demonstrate the advantage of the obtained criterion as compared to the well-known criterion derived by Logemann and Ryan.


dynamical systems hysteresis Prandtl operator stop operator frequency-domain stability criteria 


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© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.St. Petersburg State UniversitySt. PetersburgRussia

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