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Mittag-Leffler synchronization of fractional-order coupled neural networks with mixed delays

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  • Zheng, Bibo
  • Wang, Zhanshan

Abstract

This paper is devoted to investigating Mittag-Leffler synchronization of fractional-order coupled neural networks (FOCNNs) with mixed delays, where the time-varying delays and infinite distributed delays are both taken into account. Firstly, a universal delayed FOCNNs model is introduced, which includes several FOCNNs with various time delays structures such as distributed delays and constant delays or time-varying delays, as its special cases. Besides, for the case where the existing results cannot be applied to infinite time delays, a generalized fractional-order Halanay inequality is proposed, which facilitates the analysis of synchronization of FOCNNs. Based on the generalized inequality, a unified synchronization analysis framework for FOCNNs is established, which is also applied to the cases with commonly considered FOCNNs with distribute delays, constant or time-varying delays. All the derived synchronization criteria have similar results and can be easily verified. Finally, a numerical example is provided to show the effectiveness of obtained results.

Suggested Citation

  • Zheng, Bibo & Wang, Zhanshan, 2022. "Mittag-Leffler synchronization of fractional-order coupled neural networks with mixed delays," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    • Handle: RePEc:eee:apmaco:v:430:y:2022:i:c:s0096300322003770
    DOI: 10.1016/j.amc.2022.127303
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    References listed on IDEAS

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    2. Cui, Xueke & Li, Hong-Li & Zhang, Long & Hu, Cheng & Bao, Haibo, 2023. "Complete synchronization for discrete-time fractional-order coupled neural networks with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    3. Sun, Yuting & Hu, Cheng & Yu, Juan & Shi, Tingting, 2023. "Synchronization of fractional-order reaction-diffusion neural networks via mixed boundary control," Applied Mathematics and Computation, Elsevier, vol. 450(C).
    4. Wang, Shasha & Jian, Jigui, 2023. "Predefined-time synchronization of incommensurate fractional-order competitive neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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