<p>In this study, a novel dual-event-driven (D-ED) asynchronous intermittent control strategy is proposed for the synchronization problem of discrete-time coupled neural networks (CNNs). This strategy dynamically determines the timing of controller activation and turn-off by introducing two independent event-driven (ED) mechanisms, thereby eliminating artificially preset working/dormant modes and achieving on-demand control. Especially, this study employs an aperiodic detection technique, which significantly improves the flexibility and adaptability of event detection. Compared with existing studies, this study designs decentralized ED conditions for each neuron. This design allows each neuron to have its own independent and asynchronous working and dormant intervals, which enables it to respond to local dynamic changes in a more fine-grained manner. Furthermore, the ED conditions are based directly on the initial error state rather than on an energy-function-based approach, which is more flexible in design and more directly reflects the local dynamic properties. Then, it is rigorously demonstrated that the drive-response CNNs system achieves global asymptotic exponential synchronization under this control strategy. Finally, a numerical simulation verifies the effectiveness and superiority of the proposed scheme.</p>

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Decentralized dual-event-driven asynchronous intermittent synchronization control for discrete-time coupled neural networks based on aperiodic detection

  • Xia Zhou,
  • Xi Li,
  • Wanwan Wang,
  • Jianfeng Dai,
  • Chao Deng

摘要

In this study, a novel dual-event-driven (D-ED) asynchronous intermittent control strategy is proposed for the synchronization problem of discrete-time coupled neural networks (CNNs). This strategy dynamically determines the timing of controller activation and turn-off by introducing two independent event-driven (ED) mechanisms, thereby eliminating artificially preset working/dormant modes and achieving on-demand control. Especially, this study employs an aperiodic detection technique, which significantly improves the flexibility and adaptability of event detection. Compared with existing studies, this study designs decentralized ED conditions for each neuron. This design allows each neuron to have its own independent and asynchronous working and dormant intervals, which enables it to respond to local dynamic changes in a more fine-grained manner. Furthermore, the ED conditions are based directly on the initial error state rather than on an energy-function-based approach, which is more flexible in design and more directly reflects the local dynamic properties. Then, it is rigorously demonstrated that the drive-response CNNs system achieves global asymptotic exponential synchronization under this control strategy. Finally, a numerical simulation verifies the effectiveness and superiority of the proposed scheme.