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Русская версия

**Nikolay Vladimirovich Kuznetsov**

St. Petersburg State University, Russia

Faculty of Mathematics and Mechanics, Professor

Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, St.Petersburg, Russia

Dr.Sc.

**Renat Vladimirovich Yuldashev**

St. Petersburg State University, Russia

Faculty of Mathematics and Mechanics, Professor

PhD in physics and mathematics

**Michail Vladimirovich Blagov**

St. Petersburg State University, Russia

University of Jyvaskyla, Dept. of Mathematical Information Technology, Finland

Faculty of Mathematics and Mechanics, PhD student

**Elena Vladimirovna Kudryashova**

St. Petersburg State University, Russia

Faculty of Mathematics and Mechanics, Leading Researcher

PhD in physics and mathematics

**Olga Aleksandrovna Kuznetsova**

St. Petersburg State University, Russia

Faculty of Mathematics and Mechanics, Leading Researcher

PhD in physics and mathematics

**Timur Nazirovich Mokaev**

St. Petersburg State University, Russia

Faculty of Mathematics and Mechanics, Professor

PhD in physics and mathematics

The charge-pump phase-locked loop (CP-PLL) is one of widely used types of the phase-locked loop (PLL). A PLL is essentially nonlinear control system and its nonlinear analysis is a challenging task. Recently, we found some flaws in the well-known and frequently cited article " Analysis of a charge-pump PLL: A new model" published by M. van Paemel in the IEEE Transactions on Communications journal. In the present brief note the corresponding numerical and analytical examples are provided and the ways to correct the flaws are discussed.

- charge-pump phase-locked loop
- control of oscillators
- nonlinear dynamical model
- synchronization

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