Email this article On the Gardner Problem for the Phase-Locked Loops
- Authors: Kuznetsov N.V.1,2,3, Lobachev M.Y.1, Yuldashev M.V.1, Yuldashev R.V.1
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Affiliations:
- Saint-Petersburg State University
- Institute of Problems in Mechanical Engineering of Russian Academy of Sciences
- University of Jyväskylä
- Issue: Vol 489, No 6 (2019)
- Pages: 541-544
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/18848
- DOI: https://doi.org/10.31857/S0869-56524896541-544
- ID: 18848
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Abstract
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.
About the authors
N. V. Kuznetsov
Saint-Petersburg State University; Institute of Problems in Mechanical Engineering of Russian Academy of Sciences; University of Jyväskylä
Author for correspondence.
Email: n.v.kuznetsov@spbu.ru
Russian Federation, 7/9, Universitetskaya embankment, Saint-Petersburg, 199034; V.O., Bol'shoy prospect, 61, St. Petersburg, 199178; 15, Seminaarinkatu, Jyväskylä, 40014
M. Y. Lobachev
Saint-Petersburg State University
Email: n.v.kuznetsov@spbu.ru
Russian Federation, 7/9, Universitetskaya embankment, Saint-Petersburg, 199034
M. V. Yuldashev
Saint-Petersburg State University
Email: n.v.kuznetsov@spbu.ru
Russian Federation, 7/9, Universitetskaya embankment, Saint-Petersburg, 199034
R. V. Yuldashev
Saint-Petersburg State University
Email: n.v.kuznetsov@spbu.ru
Russian Federation, 7/9, Universitetskaya embankment, Saint-Petersburg, 199034
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