On counter-examples to Aizerman and Kalman conjectures

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On counter-examples to Aizerman and Kalman conjectures. / Boiko, I. M.; Kuznetsov, N. V.; Mokaev, R. N.; Mokaev, T. N.; Yuldashev, M. V.; Yuldashev, R. V.

In: International Journal of Control, Vol. 95, No. 4, 2022, p. 906 - 913.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{6f45f310274e45fd8b880de25855dea7,

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.",

keywords = "SYSTEMS, COUNTEREXAMPLES",

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 = "Publisher Copyright: {\textcopyright} 2020 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2022",

doi = "10.1080/00207179.2020.1830304",

language = "English",

volume = "95",

pages = "906 -- 913",

journal = "International Journal of Control",

issn = "0020-7179",

publisher = "Taylor & Francis",

number = "4",

}

RIS

TY - JOUR

T1 - On counter-examples to Aizerman and Kalman conjectures

AU - Boiko, I. M.

AU - Kuznetsov, N. V.

AU - Mokaev, R. N.

AU - Mokaev, T. N.

AU - Yuldashev, M. V.

AU - Yuldashev, R. V.

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - SYSTEMS

KW - COUNTEREXAMPLES

UR - http://www.scopus.com/inward/record.url?scp=85092784646&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/52f16e21-28be-3327-9c11-a047bf2337bc/

U2 - 10.1080/00207179.2020.1830304

DO - 10.1080/00207179.2020.1830304

M3 - Article

AN - SCOPUS:85092784646

VL - 95

SP - 906

EP - 913

JO - International Journal of Control

JF - International Journal of Control

SN - 0020-7179

IS - 4

ER -

ID: 71008881