A1 Journal article (refereed)
О проблеме Гарднера для систем управления фазовой автоподстройкой частоты (2019)
On the Gardner Problem for the Phase-Locked Loops

Kuznetsov N.V., Lobachev M.Y., Yuldashev M.V., Yuldashev R.V. (2019). О проблеме Гарднера для систем управления фазовой автоподстройкой частоты. Doklady Akademii Nauk, 489(6), 541-544. https://doi.org/10.31857/S0869-56524896541-544

JYU authors or editors

Publication details

All authors or editors: Kuznetsov N.V.; Lobachev M.Y.; Yuldashev M.V.; Yuldashev R.V.

Journal or series: Doklady Akademii Nauk

ISSN: 0869-5652

Publication year: 2019

Volume: 489

Issue number: 6

Pages range: 541-544

Publisher: Russian Academy of Sciences

Publication country: Russian Federation

Publication language: Russian

DOI: https://doi.org/10.31857/S0869-56524896541-544

Publication open access: Openly available

Publication channel open access: Open Access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/67395

Additional information: Published also in English: Kuznetsov, N.V., Lobachev, M.Y., Yuldashev, M.V. et al. On the Gardner Problem for Phase-Locked Loops. Dokl. Math. 100, 568–570 (2019). https://doi.org/10.1134/S1064562419060218


This report shows the possibilities of solving the Gardner problem of determining the lock-in range for multidimensional phase-locked loops systems. The development of analogs of classical stability criteria for the cylindrical phase space made it possible to obtain analytical estimates of the lock-in range for third-order system.

Keywords: control theory; electronic circuits

Free keywords: Gardner problem on the lock-in range; phase-locked loops; nonlinear analysis; frequency stability criteria

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2019

JUFO rating: 0

Last updated on 2022-20-09 at 15:47