DOI

In this paper, we use special numerical continuation procedures to construct a novel counterexample to the Kalman conjecture, based on the Fitts system. This counterexample represents a multistable configuration: the coexistence of two hidden chaotic attractors and two hidden limit cycles with a single stable equilibrium state.

Original languageEnglish
Title of host publicationProceedings of 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022
EditorsValentin N. Tkhai
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781665465861
ISBN (Print)9781665465861
DOIs
StatePublished - 1 Jun 2022
Event16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022 - Moscow, Russian Federation
Duration: 1 Jun 2022 → 3 Jun 2022

Publication series

NameProceedings of 2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022

Conference

Conference16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), STAB 2022
Country/TerritoryRussian Federation
CityMoscow
Period1/06/22 → 3/06/22

    Scopus subject areas

  • Control and Systems Engineering
  • Mechanical Engineering
  • Control and Optimization

    Research areas

  • Aizerman conjecture, chaotic attractor, Fitts system, harmonic balance method, Kalman conjecture, megastable system, multistability, self-excited and hidden attractor

ID: 97646017