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Quasi-uniform synchronization of Caputo type fractional neural networks with leakage and discrete delays★

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  • Zhang, Hai
  • Cheng, Jingshun
  • Zhang, Hongmei
  • Zhang, Weiwei
  • Cao, Jinde

Abstract

This paper discusses the quasi-uniform synchronization issue for fractional-orderneural networks (FONNs) with leakage and discrete delays. The impacts of leakage delay, discrete delay and fractional derivative on the quasi-uniform synchronization are simultaneously considered. By employing the Laplace transformation, the Gronwall inequality and analytical techniques, several sufficient criteria of the quasi-uniform synchronization for FONNs with leakage and discrete delays are established. The criterion conditions reveal the less conservatism because the order of fractional derivative is in the interval (0,2). The presented results are related to the classical exponential function, where it is not necessary to calculate fractional-order derivatives to reduce the complexities. Taking into account the different orders of fractional derivative, the validity and applicability of the proposed results are verified by the numerical simulations.

Suggested Citation

  • Zhang, Hai & Cheng, Jingshun & Zhang, Hongmei & Zhang, Weiwei & Cao, Jinde, 2021. "Quasi-uniform synchronization of Caputo type fractional neural networks with leakage and discrete delays★," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007864
    DOI: 10.1016/j.chaos.2021.111432
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    References listed on IDEAS

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    5. Yousef, Fatma Bozkurt & Yousef, Ali & Maji, Chandan, 2021. "Effects of fear in a fractional-order predator-prey system with predator density-dependent prey mortality," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
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    7. Zhang, Hai & Ye, Miaolin & Ye, Renyu & Cao, Jinde, 2018. "Synchronization stability of Riemann–Liouville fractional delay-coupled complex neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 155-165.
    8. Shuang Wang & Hai Zhang & Weiwei Zhang & Hongmei Zhang, 2021. "Finite-Time Projective Synchronization of Caputo Type Fractional Complex-Valued Delayed Neural Networks," Mathematics, MDPI, vol. 9(12), pages 1-14, June.
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    Cited by:

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    3. Wang, Chen & Zhang, Hai & Ye, Renyu & Zhang, Weiwei & Zhang, Hongmei, 2023. "Finite time passivity analysis for Caputo fractional BAM reaction–diffusion delayed neural networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 208(C), pages 424-443.
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    6. 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.

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