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Quasi-synchronization analysis for fractional-order delayed complex dynamical networks

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  • Xu, Liguang
  • Chu, Xiaoyan
  • Hu, Hongxiao

Abstract

This paper studies the global exponential quasi-synchronization for fractional-order delayed dynamical networks via periodically intermittent pinning control. Firstly, we present some new fractional-order delayed differential inequalities. Then based on the obtained inequalities, the Lyapunov method as well as the periodically intermittent pinning controller, sufficient conditions for achieving global exponential quasi-synchronization is derived for the addressed networks. Finally, numerical simulations are provided to verify the theoretical results.

Suggested Citation

  • Xu, Liguang & Chu, Xiaoyan & Hu, Hongxiao, 2021. "Quasi-synchronization analysis for fractional-order delayed complex dynamical networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 594-613.
    • Handle: RePEc:eee:matcom:v:185:y:2021:i:c:p:594-613
    DOI: 10.1016/j.matcom.2021.01.016
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    References listed on IDEAS

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    1. Wang, Fei & Yang, Yongqing & Hu, Manfeng & Xu, Xianyun, 2015. "Projective cluster synchronization of fractional-order coupled-delay complex network via adaptive pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 134-143.
    2. Wang, Fei & Yang, Yongqing, 2018. "Intermittent synchronization of fractional order coupled nonlinear systems based on a new differential inequality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 142-152.
    3. Wang, Fei & Yang, Yongqing, 2018. "Quasi-synchronization for fractional-order delayed dynamical networks with heterogeneous nodes," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 1-14.
    4. Ratnavelu, K. & Manikandan, M. & Balasubramaniam, P., 2015. "Synchronization of fuzzy bidirectional associative memory neural networks with various time delays," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 582-605.
    5. Li, Hong-Li & Hu, Cheng & Jiang, Yao-Lin & Wang, Zuolei & Teng, Zhidong, 2016. "Pinning adaptive and impulsive synchronization of fractional-order complex dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 142-149.
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    Cited by:

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    2. Yi Wang & Zhaoyan Wu, 2021. "Cluster Synchronization in Variable-Order Fractional Community Network via Intermittent Control," Mathematics, MDPI, vol. 9(20), pages 1-12, October.
    3. Liu, Xin & Chen, Lili & Zhao, Yanfeng & Li, Honglin, 2023. "Adaptive event-triggered control for stability of fractional-order T-S fuzzy multi-links complex networks with random coupling delay," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

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