Open AccessOn the Gardner Problem for the Phase-Locked Loops
Author(s) -
Nikolay Kuznetsov,
M.Y. Lobachev,
M. V. Yuldashev,
R. V. Yuldashev
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524896541-544
Subject(s) - lock (firearm) , range (aeronautics) , phase (matter) , space (punctuation) , stability (learning theory) , third order , phase locked loop , phase space , loop (graph theory) , mathematics , computer science , physics , control theory (sociology) , engineering , aerospace engineering , combinatorics , quantum mechanics , mechanical engineering , control (management) , artificial intelligence , philosophy , theology , machine learning , operating system
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.