A Novel Event-Dependent Intermittent Control for Synchronization of Fractional-Order Coupled Neural Networks with Mixed Delays and Higher-Order Interactions
Zhilin Wu, Dongsheng Yang, Hong Li, Yongguang Yu, Xiang Liu, Piercarlo Cattani · Fractal and Fractional · 2025
This paper investigates the synchronization problem of fractional-order coupled neural networks (FOCNNs) featuring higher-order interactions and mixed delays under an event-dependent intermittent control framework. The proposed model incorporates higher-order interactions to more accurately capture the complex cooperative behaviors observed in real neural systems. To facilitate analysis, several novel theoretical tools are developed, which extend the existing framework of fractional-order control and provide upper bounds for the solutions of delayed fractional-order systems. Furthermore, a new event-dependent intermittent controller is designed, and sufficient synchronization criteria are rigorously derived. Finally, numerical simulations are presented to verify the effectiveness and robustness of the proposed control strategy.