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On the gardner problem for phase-locked loops. / Kuznetsov, N. V.; Lobachev, M. Y.; Yuldashev, M. V.; Yuldashev, R. V.

In: Doklady Mathematics, Vol. 100, No. 3, 11.2019, p. 568-570.

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

Harvard

Kuznetsov, NV, Lobachev, MY, Yuldashev, MV & Yuldashev, RV 2019, 'On the gardner problem for phase-locked loops', Doklady Mathematics, vol. 100, no. 3, pp. 568-570. https://doi.org/10.1134/S1064562419060218

APA

Kuznetsov, N. V., Lobachev, M. Y., Yuldashev, M. V., & Yuldashev, R. V. (2019). On the gardner problem for phase-locked loops. Doklady Mathematics, 100(3), 568-570. https://doi.org/10.1134/S1064562419060218

Vancouver

Kuznetsov NV, Lobachev MY, Yuldashev MV, Yuldashev RV. On the gardner problem for phase-locked loops. Doklady Mathematics. 2019 Nov;100(3):568-570. https://doi.org/10.1134/S1064562419060218

Author

Kuznetsov, N. V. ; Lobachev, M. Y. ; Yuldashev, M. V. ; Yuldashev, R. V. / On the gardner problem for phase-locked loops. In: Doklady Mathematics. 2019 ; Vol. 100, No. 3. pp. 568-570.

BibTeX

@article{332f05b335654f01a086955c8c0a5851,
title = "On the gardner problem for phase-locked loops",
abstract = "This paper shows the possibilities of solving the Gardner problem of determining the lock-in range for multidimensional phase-locked loop models. Analytical estimates of the lock-in range for a third-order system are obtained for the first time by developing analogues of classical stability criteria for the cylindrical phase space.",
author = "Kuznetsov, {N. V.} and Lobachev, {M. Y.} and Yuldashev, {M. V.} and Yuldashev, {R. V.}",
year = "2019",
month = nov,
doi = "10.1134/S1064562419060218",
language = "English",
volume = "100",
pages = "568--570",
journal = "Doklady Mathematics",
issn = "1064-5624",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "3",

}

RIS

TY - JOUR

T1 - On the gardner problem for phase-locked loops

AU - Kuznetsov, N. V.

AU - Lobachev, M. Y.

AU - Yuldashev, M. V.

AU - Yuldashev, R. V.

PY - 2019/11

Y1 - 2019/11

N2 - This paper shows the possibilities of solving the Gardner problem of determining the lock-in range for multidimensional phase-locked loop models. Analytical estimates of the lock-in range for a third-order system are obtained for the first time by developing analogues of classical stability criteria for the cylindrical phase space.

AB - This paper shows the possibilities of solving the Gardner problem of determining the lock-in range for multidimensional phase-locked loop models. Analytical estimates of the lock-in range for a third-order system are obtained for the first time by developing analogues of classical stability criteria for the cylindrical phase space.

UR - http://www.scopus.com/inward/record.url?scp=85081686659&partnerID=8YFLogxK

U2 - 10.1134/S1064562419060218

DO - 10.1134/S1064562419060218

M3 - Article

AN - SCOPUS:85081686659

VL - 100

SP - 568

EP - 570

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 3

ER -

ID: 51710837