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Global synchronization of fractional coupled networks with discrete and distributed delays

Author

Listed:
  • Zhang, Yan-Jie
  • Liu, Song
  • Yang, Ran
  • Tan, Ying-Ying
  • Li, Xiaoyan

Abstract

This article considers fractional coupled networks with discrete and distributed delays, an algebraic criterion on global synchronization is derived by using fractional Razumikhin approach and matrix inequalities. Furthermore, two types of special fractional delayed networks are also investigated and several simple sufficient conditions on global synchronization are presented, respectively. Finally, two numerical examples are provided to demonstrate the validity of our theoretical results.

Suggested Citation

  • Zhang, Yan-Jie & Liu, Song & Yang, Ran & Tan, Ying-Ying & Li, Xiaoyan, 2019. "Global synchronization of fractional coupled networks with discrete and distributed delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 830-837.
    • Handle: RePEc:eee:phsmap:v:514:y:2019:i:c:p:830-837
    DOI: 10.1016/j.physa.2018.09.129
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    References listed on IDEAS

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    Cited by:

    1. Leng, Hui & Wu, Zhaoyan, 2019. "Impulsive synchronization of complex-variable network with distributed time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    2. Pang, Denghao & Jiang, Wei & Liu, Song & Jun, Du, 2019. "Stability analysis for a single degree of freedom fractional oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 498-506.
    3. Zhang, Hai & Cheng, Yuhong & Zhang, Weiwei & Zhang, Hongmei, 2023. "Time-dependent and Caputo derivative order-dependent quasi-uniform synchronization on fuzzy neural networks with proportional and distributed delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 846-857.
    4. M. Hymavathi & Tarek F. Ibrahim & M. Syed Ali & Gani Stamov & Ivanka Stamova & B. A. Younis & Khalid I. Osman, 2022. "Synchronization of Fractional-Order Neural Networks with Time Delays and Reaction-Diffusion Terms via Pinning Control," Mathematics, MDPI, vol. 10(20), pages 1-18, October.

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