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<p>This paper investigates complete synchronization of Caputo-Hadamard fractional-order fuzzy competitive neural networks (CHFFCNNs). Firstly, based on Caputo-Hadamard fractional theory, several equations and inequalities involving Mittag-Leffler functions and invertible <i>M</i>-matrices are introduced, and a vector-valued fractional Halanay inequality in the form of <i>M</i>-matrices is rigorously proved. Secondly, a linear controller is designed, and some complete synchronization criteria of CHFFCNNs are obtained by using our Halanay-type inequality. Finally, a numerical example is provided to verify the validity of the theoretical outcomes.</p>

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Complete synchronization of Caputo-Hadamard fractional-order fuzzy competitive neural networks with time-varying delays

  • 期刊论文

  • 发表日期：

    2026年5月6日

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  • Zhenzhen Zhang,
  • Hong-Li Li,
  • Peng Liu,
  • Yangquan Chen,
  • Jinde Cao

摘要

This paper investigates complete synchronization of Caputo-Hadamard fractional-order fuzzy competitive neural networks (CHFFCNNs). Firstly, based on Caputo-Hadamard fractional theory, several equations and inequalities involving Mittag-Leffler functions and invertible M-matrices are introduced, and a vector-valued fractional Halanay inequality in the form of M-matrices is rigorously proved. Secondly, a linear controller is designed, and some complete synchronization criteria of CHFFCNNs are obtained by using our Halanay-type inequality. Finally, a numerical example is provided to verify the validity of the theoretical outcomes.