In this paper, the fixed-time synchronization (FTS) of multi-layer complex networks (MLCNs) accompanied by inter-layer connections is investigated. Firstly, a dynamic event-triggered control (ETC) strategy is proposed to reduce energy consumption, and a new fixed time synchronization protocol is designed based on the proposed dynamic event triggering mechanism and the power term of tracking errors. Subsequently, the conditions for achieving FTS are derived by using Lyapunov stability theory and inequality techniques, while also ensuring the exclusion of Zeno behaviour. Finally, a corresponding simulation shows the effectiveness and practicability of the proposed control strategy.

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Fixed-Time Synchronization of Multi-layer Networks via Dynamic Event-Triggered Mechanism

  • Guangheng An,
  • Haijun Jiang,
  • Xuening Xu

摘要

In this paper, the fixed-time synchronization (FTS) of multi-layer complex networks (MLCNs) accompanied by inter-layer connections is investigated. Firstly, a dynamic event-triggered control (ETC) strategy is proposed to reduce energy consumption, and a new fixed time synchronization protocol is designed based on the proposed dynamic event triggering mechanism and the power term of tracking errors. Subsequently, the conditions for achieving FTS are derived by using Lyapunov stability theory and inequality techniques, while also ensuring the exclusion of Zeno behaviour. Finally, a corresponding simulation shows the effectiveness and practicability of the proposed control strategy.