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<p>This paper investigates fixed-time projective synchronization (FXPS) and preassigned-time projective synchronization (PTPS) of a class of fuzzy neural networks (FNNs) with discontinuous activations and distributed delays. Firstly, based on non-smooth analysis and Lyapunov stability theory, this paper studies the issues of fixed-time stabilization (FTS) for the FNNs. Subsequently, by designing appropriate state feedback controllers, we obtain new criteria for FXPS and PTPS in such FNNs. Unlike recent works, our neural network system is more comprehensive since it incorporates fuzzy terms, mixed-time delays, and discontinuous activation functions. Furthermore, the results achieved in this paper are more generalized since we research the projective synchronization of FNNs, which includes a series of special synchronizations such as complete synchronization and anti-synchronization. Finally, example simulations are carried out to validate the effectiveness of the results achieved in the paper.</p>

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Projective synchronization in fixed/preassigned time of discontinuous fuzzy neural networks with mixed-time delays

  • 期刊论文

  • 发表日期：

    2025年3月30日

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  • Siyu Gui,
  • Guodong Zhang,
  • Qiang Xiao

摘要

This paper investigates fixed-time projective synchronization (FXPS) and preassigned-time projective synchronization (PTPS) of a class of fuzzy neural networks (FNNs) with discontinuous activations and distributed delays. Firstly, based on non-smooth analysis and Lyapunov stability theory, this paper studies the issues of fixed-time stabilization (FTS) for the FNNs. Subsequently, by designing appropriate state feedback controllers, we obtain new criteria for FXPS and PTPS in such FNNs. Unlike recent works, our neural network system is more comprehensive since it incorporates fuzzy terms, mixed-time delays, and discontinuous activation functions. Furthermore, the results achieved in this paper are more generalized since we research the projective synchronization of FNNs, which includes a series of special synchronizations such as complete synchronization and anti-synchronization. Finally, example simulations are carried out to validate the effectiveness of the results achieved in the paper.