Email this article On the Gardner Problem for 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:
- St. Petersburg State University
- Institute for Problems in Mechanical Engineering, Russian Academy of Sciences
- University of Jyväskylä
- Issue: Vol 100, No 3 (2019)
- Pages: 568-570
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225748
- DOI: https://doi.org/10.1134/S1064562419060218
- ID: 225748
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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.
About the authors
N. V. Kuznetsov
St. Petersburg State University; Institute for Problems in Mechanical Engineering, Russian Academy of Sciences; University of Jyväskylä
Author for correspondence.
Email: n.v.kuznetsov@spbu.ru
Russian Federation, St. Petersburg, 198504; St. Petersburg, 199178; Jyväskylä
M. Y. Lobachev
St. Petersburg State University
Email: n.v.kuznetsov@spbu.ru
Russian Federation, St. Petersburg, 198504
M. V. Yuldashev
St. Petersburg State University
Email: n.v.kuznetsov@spbu.ru
Russian Federation, St. Petersburg, 198504
R. V. Yuldashev
St. Petersburg State University
Email: n.v.kuznetsov@spbu.ru
Russian Federation, St. Petersburg, 198504
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