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Intermittent synchronization of fractional order coupled nonlinear systems based on a new differential inequality

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  • Wang, Fei
  • Yang, Yongqing

Abstract

This paper investigates the synchronization of fractional order dynamical networks via intermittent linear feedback control. According to a new piecewise linear fractional order differential inequality and some intermittent synchronization criteria are derived at first. Then, by using matrix analysis method, pinning strategy is discussed. A simple algorithm to design suitable pinning intermittent controllers is given later. Finally, a numerical example is presented to illustrate the effectiveness and correctness of the theoretical results, the synchronization region about the order of system and the ratio of the control width is also discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:512:y:2018:i:c:p:142-152
    DOI: 10.1016/j.physa.2018.08.023
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    References listed on IDEAS

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    Cited by:

    1. Zhang, Shuai & Yang, Yongqing & Sui, Xin & Xu, Xianyu, 2019. "Finite-time synchronization of memristive neural networks with parameter uncertainties via aperiodically intermittent adjustment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. Cai, Shuiming & Hou, Meiyuan, 2021. "Quasi-synchronization of fractional-order heterogeneous dynamical networks via aperiodic intermittent pinning control," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    3. 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.
    4. 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.
    5. Chu, Xiaoyan & Xu, Liguang & Hu, Hongxiao, 2020. "Exponential quasi-synchronization of conformable fractional-order complex dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).

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