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Synchronization of Kuramoto-oscillator networks under event-triggered delayed impulsive control

Author

Listed:
  • Cui, Qian
  • Li, Lulu
  • Cao, Jinde
  • Alsaadi, Fawaz E.

Abstract

The paper mainly studies the synchronization of Kuramoto-oscillator networks (KONs) under event-triggered delayed impulsive control (ETDIC). Instead of pre-setting the impulsive instants, the impulsive sequence is determined by the designed ETDIC strategy. According to the Lyapunov stability theory and proposed ETDIC strategy, the phase and frequency synchronization criteria of KONs with identical and nonidentical natural frequency are proposed, respectively. In addition, the Zeno phenomenon can be avoided under the proposed ETDIC. Finally, two examples are provided to show the validity of the obtained results.

Suggested Citation

  • Cui, Qian & Li, Lulu & Cao, Jinde & Alsaadi, Fawaz E., 2022. "Synchronization of Kuramoto-oscillator networks under event-triggered delayed impulsive control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
    • Handle: RePEc:eee:phsmap:v:608:y:2022:i:p1:s0378437122008081
    DOI: 10.1016/j.physa.2022.128250
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    References listed on IDEAS

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    1. Sokolov, Yury & Ermentrout, G. Bard, 2019. "When is sync globally stable in sparse networks of identical Kuramoto oscillators?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 533(C).
    2. Moreira, Carolina A. & de Aguiar, Marcus A.M., 2019. "Global synchronization of partially forced Kuramoto oscillators on networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 487-496.
    3. Ahmadi, Negar & Pei, Yulong & Pechenizkiy, Mykola, 2019. "Effect of linear mixing in EEG on synchronization and complex network measures studied using the Kuramoto model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 289-308.
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    Cited by:

    1. Huafei Chen & Jia Chen & Dan Qu & Kelin Li & Fei Luo, 2022. "An Uncertain Sandwich Impulsive Control System with Impulsive Time Windows," Mathematics, MDPI, vol. 10(24), pages 1-14, December.

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