On counter-examples to Aizerman and Kalman conjectures

I. M. Boiko, N. V. Kuznetsov, R. N. Mokaev, T. N. Mokaev, M. V. Yuldashev, R. V. Yuldashev

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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 languageBritish English
Pages (from-to)906-913
Number of pages8
JournalInternational Journal of Control
Issue number4
StatePublished - 2022


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