The synchronization of a controlled oscillator with external frequencies is investigated, and conditions for synchronization without cycle skipping are ascertained. Locking requirements are determined analytically by an indirect approach for a class of PLL's embodying first-order linear filters. The validity of this analytical approach is supported by experimental observations and is justified by considerations on the region of attraction, which can be obtained by the procedure suggested.
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Maria et al. (1981) studied this question.
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