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<p>This paper investigates the problem of quasi-projective synchronization (QPS) for a class of discrete-time fractional-order uncertain neural networks with leakage delays, discrete delays, and distributed delays (DFULDDNNs). First, by employing the Caputo fractional difference operator, the Mittag–Leffler function, and the Laplace transform, a new Caputo fractional difference inequality is rigorously established. Secondly, based on the proposed inequality and several analytical techniques, new sufficient conditions are derived to guarantee the QPS of DFULDDNNs. Finally, a numerical example is provided to demonstrate the effectiveness and robustness of the proposed control strategy, achieving successful QPS in the presence of leakage delays, discrete delays, and distributed delays.</p>

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Robust quasi-projective synchronization for discrete-time fractional-order neural networks under multiple delay constraints

  • 期刊论文

  • 发表日期：

    2026年7月18日

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  • Iheb Abdelmajid Albouchi,
  • Chaouki Aouiti,
  • Jinde Cao

摘要

This paper investigates the problem of quasi-projective synchronization (QPS) for a class of discrete-time fractional-order uncertain neural networks with leakage delays, discrete delays, and distributed delays (DFULDDNNs). First, by employing the Caputo fractional difference operator, the Mittag–Leffler function, and the Laplace transform, a new Caputo fractional difference inequality is rigorously established. Secondly, based on the proposed inequality and several analytical techniques, new sufficient conditions are derived to guarantee the QPS of DFULDDNNs. Finally, a numerical example is provided to demonstrate the effectiveness and robustness of the proposed control strategy, achieving successful QPS in the presence of leakage delays, discrete delays, and distributed delays.