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Self-synchronization and controlled synchronization: general definition and example design

Author

Listed:
  • Blekhman, I.I.
  • Fradkov, A.L.
  • Tomchina, O.P.
  • Bogdanov, D.E.

Abstract

A general definition of synchronization is given, capturing features of both self-synchronized systems and systems synchronized by means of external control. The definition is exemplified by a number of special cases, including frequency or Hugenii synchronization. A new solution to the important problem of controlled synchronization of two vibroactuators is given based on a speed-gradient method. Computer simulations of the designed synchronization system are presented.

Suggested Citation

  • Blekhman, I.I. & Fradkov, A.L. & Tomchina, O.P. & Bogdanov, D.E., 2002. "Self-synchronization and controlled synchronization: general definition and example design," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 58(4), pages 367-384.
    • Handle: RePEc:eee:matcom:v:58:y:2002:i:4:p:367-384
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    Cited by:

    1. Jonatan Pena Ramirez & Adrian Arellano-Delgado & Rodrigo Méndez-Ramírez & Hector Javier Estrada-Garcia, 2024. "Synchronization of Chaotic Systems with Huygens-like Coupling," Mathematics, MDPI, vol. 12(20), pages 1-17, October.
    2. Gequn, Liu & Zhiguo, Zhan & Knowles, Gareth, 2015. "Design of inner coupling matrix for robustly self-synchronizing networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 440(C), pages 68-80.

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