О проблеме Гарднера для систем управления фазовой автоподстройкой частоты
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
Published inDoklady Akademii Nauk
© 2019 Russian Academy of Sciences
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.
PublisherRussian Academy of Sciences
NB.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
Please see alsohttps://doi.org/10.1134/S1064562419060218
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Additional information about fundingWork done at financial support of the Russian Science Foundation (project 19-41-02002).
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Kuznetsov, Nikolay V.; Lobachev, Mikhail Y.; Yuldashev, Marat V.; Yuldashev, Renat V. (Institute of Electrical and Electronics Engineers (IEEE), 2021)In 1981, famous engineer William F. Egan conjectured that a higher-order type 2 PLL with an infinite hold-in range also has an infinite pull-in range, and supported his conjecture with some third-order PLL implementations. ...
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