@article{4ec4e960003d4213a3b9c31a5bb87d64,
title = "On counter-examples to Aizerman and Kalman conjectures",
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.",
author = "Boiko, {I. M.} and Kuznetsov, {N. V.} and Mokaev, {R. N.} and Mokaev, {T. N.} and Yuldashev, {M. V.} and Yuldashev, {R. V.}",
note = "Funding Information: The authors gratefully acknowledge the support of the Russian Science Foundation [grant number 19-41-02002], and Khalifa University of Science, Technology and Research, UAE, project [grant number CIRA-2018-104]. The authors gratefully acknowledge the support of the Russian Science Foundation, grant 19-41-02002, and Khalifa University, UAE, project CIRA-2018-104. Funding Information: The authors gratefully acknowledge the support of the Russian Science Foundation, grant 19-41-02002, and Khalifa University, UAE, project CIRA-2018-104. Publisher Copyright: {\textcopyright} 2020 Informa UK Limited, trading as Taylor & Francis Group.",
year = "2022",
doi = "10.1080/00207179.2020.1830304",
language = "British English",
volume = "95",
pages = "906--913",
journal = "International Journal of Control",
issn = "0020-7179",
publisher = "Taylor and Francis Ltd.",
number = "4",
}