On counter-examples to Aizerman and Kalman conjectures

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2 Scopus citations

Abstract

Counter-examples to Aizerman's and Kalman's conjectures are considered. Investigation of the behaviour in the vicinity of the origin and at a distance from the origin is done. The simultaneous existence of both: a limit cycle and asymptotic or finite-time convergence is proved through the LPRS method and the Lyapunov method, respectively. Conclusions regarding the complex behaviour of these nonlinear dynamic systems are given.

Original languageEnglish
JournalInternational Journal of Control
DOIs
StateE-pub ahead of print - 19 Oct 2020

Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications

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