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Frequency-domain criteria for the global stability of phase synchronization systems

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Abstract

New criteria for the global stability of phase synchronization systems are formulated and proved. The efficiency of the criteria for phase-locked loops is demonstrated.

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Authors and Affiliations

  1. Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetskii pr. 28, Peterhof, St. Petersburg, 198504, Russia

    G. A. Leonov & K. D. Aleksandrov

Authors
  1. G. A. Leonov
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  2. K. D. Aleksandrov
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Corresponding author

Correspondence to G. A. Leonov.

Additional information

Original Russian Text © G.A. Leonov, K.D. Aleksandrov, 2015, published in Doklady Akademii Nauk, 2015, Vol. 465, No. 6, pp. 656–659.

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Leonov, G.A., Aleksandrov, K.D. Frequency-domain criteria for the global stability of phase synchronization systems. Dokl. Math. 92, 769–772 (2015). https://doi.org/10.1134/S1064562415060368

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  • DOI: https://doi.org/10.1134/S1064562415060368

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