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Counterexamples to the Kalman Conjectures⁎. / Kuznetsov, N. V.; Kuznetsova, O. A.; Koznov, D.; Mokaev, R. N.; Andrievsky, B.

в: IFAC-PapersOnLine, Том 51, № 33, 01.01.2018, стр. 138-143.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Kuznetsov, NV, Kuznetsova, OA, Koznov, D, Mokaev, RN & Andrievsky, B 2018, 'Counterexamples to the Kalman Conjectures⁎', IFAC-PapersOnLine, Том. 51, № 33, стр. 138-143. https://doi.org/10.1016/j.ifacol.2018.12.107

APA

Kuznetsov, N. V., Kuznetsova, O. A., Koznov, D., Mokaev, R. N., & Andrievsky, B. (2018). Counterexamples to the Kalman Conjectures⁎. IFAC-PapersOnLine, 51(33), 138-143. https://doi.org/10.1016/j.ifacol.2018.12.107

Vancouver

Kuznetsov NV, Kuznetsova OA, Koznov D, Mokaev RN, Andrievsky B. Counterexamples to the Kalman Conjectures⁎. IFAC-PapersOnLine. 2018 Янв. 1;51(33):138-143. https://doi.org/10.1016/j.ifacol.2018.12.107

Author

Kuznetsov, N. V. ; Kuznetsova, O. A. ; Koznov, D. ; Mokaev, R. N. ; Andrievsky, B. / Counterexamples to the Kalman Conjectures⁎. в: IFAC-PapersOnLine. 2018 ; Том 51, № 33. стр. 138-143.

BibTeX

@article{fe44bf6a78794c3d95345e12e698412b,
title = "Counterexamples to the Kalman Conjectures⁎",
abstract = "In the paper counterexamples to the Kalman conjecture with smooth nonlinearity basing on the Fitts system, that are periodic solution or hidden chaotic attractor are presented. It is shown, that despite the fact that Kalman's conjecture (as well as Aizerman's) turned out to be incorrect in the case of n > 3, it had a huge impact on the theory of absolute stability, namely, the selection of the class of nonlinear systems whose stability can be studied with linear methods.",
keywords = "Barabanov system, Fitts system, hidden attractor, Kalman conjecture, point-mapping method",
author = "Kuznetsov, {N. V.} and Kuznetsova, {O. A.} and D. Koznov and Mokaev, {R. N.} and B. Andrievsky",
year = "2018",
month = jan,
day = "1",
doi = "10.1016/j.ifacol.2018.12.107",
language = "English",
volume = "51",
pages = "138--143",
journal = "IFAC-PapersOnLine",
issn = "2405-8963",
publisher = "Elsevier",
number = "33",

}

RIS

TY - JOUR

T1 - Counterexamples to the Kalman Conjectures⁎

AU - Kuznetsov, N. V.

AU - Kuznetsova, O. A.

AU - Koznov, D.

AU - Mokaev, R. N.

AU - Andrievsky, B.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - In the paper counterexamples to the Kalman conjecture with smooth nonlinearity basing on the Fitts system, that are periodic solution or hidden chaotic attractor are presented. It is shown, that despite the fact that Kalman's conjecture (as well as Aizerman's) turned out to be incorrect in the case of n > 3, it had a huge impact on the theory of absolute stability, namely, the selection of the class of nonlinear systems whose stability can be studied with linear methods.

AB - In the paper counterexamples to the Kalman conjecture with smooth nonlinearity basing on the Fitts system, that are periodic solution or hidden chaotic attractor are presented. It is shown, that despite the fact that Kalman's conjecture (as well as Aizerman's) turned out to be incorrect in the case of n > 3, it had a huge impact on the theory of absolute stability, namely, the selection of the class of nonlinear systems whose stability can be studied with linear methods.

KW - Barabanov system

KW - Fitts system

KW - hidden attractor

KW - Kalman conjecture

KW - point-mapping method

UR - http://www.scopus.com/inward/record.url?scp=85059185655&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2018.12.107

DO - 10.1016/j.ifacol.2018.12.107

M3 - Article

AN - SCOPUS:85059185655

VL - 51

SP - 138

EP - 143

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8963

IS - 33

ER -

ID: 38672252