On the Gardner Problem for Phase-Locked Loops


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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.

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N. Kuznetsov

St. Petersburg State University; Institute for Problems in Mechanical Engineering, Russian Academy of Sciences; University of Jyväskylä

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Email: n.v.kuznetsov@spbu.ru
俄罗斯联邦, St. Petersburg, 198504; St. Petersburg, 199178; Jyväskylä

M. Lobachev

St. Petersburg State University

Email: n.v.kuznetsov@spbu.ru
俄罗斯联邦, St. Petersburg, 198504

M. Yuldashev

St. Petersburg State University

Email: n.v.kuznetsov@spbu.ru
俄罗斯联邦, St. Petersburg, 198504

R. Yuldashev

St. Petersburg State University

Email: n.v.kuznetsov@spbu.ru
俄罗斯联邦, St. Petersburg, 198504

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