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Complete synchronization for discrete-time fractional-order coupled neural networks with time delays

Author

Listed:
  • Cui, Xueke
  • Li, Hong-Li
  • Zhang, Long
  • Hu, Cheng
  • Bao, Haibo

Abstract

This paper is devoted to investigating complete synchronization for a class of discrete-time fractional-order coupled neural networks (DFCNNs) with time delays, which has not been documented yet. For the sake of answering the challenging problem mentioned above, we generalize the classic Barbalat’s lemma to discrete-time fractional-order (DF) version. After that a novel hybrid controller composed of adaptive control term and delayed feedback control term is firstly designed to reach synchronization of DFCNNs with time delays. Then, several well-done synchronization criteria are acquired by the utilization of fractional calculus theory, DF Barbalat’s lemma and inequality techniques. In the end, a numerical example is put forward to exemplify the validity of our results.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923006732
    DOI: 10.1016/j.chaos.2023.113772
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    References listed on IDEAS

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    Cited by:

    1. Stamov, Trayan, 2024. "Practical stability criteria for discrete fractional neural networks in product form design analysis," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    2. Li, Rui & Xu, Bang-Lin & Chen, De-Bao & Zhou, Jian-Fang & Yuan, Wu-Jie, 2023. "Transitions to synchronization induced by synaptic increasing in coupled tonic neurons with electrical synapses," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    3. Sun, Wenjing & Tang, Ze & Feng, Jianwen & Park, Ju H., 2024. "Quasi-synchronization of heterogeneous neural networks with hybrid time delays via sampled-data saturating impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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