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<p>In this paper, an asynchronous dynamic event-triggered control (E-TC) scheme is proposed for coupled networks subject to multiplex malicious attacks and aperiodic intermittent actuation. The considered network architecture is exposed to edge-injection and node-replacement attacks, in which each type occurs with varying probabilities of occurrence. In addition, the concepts of the average asynchronous aperiodic intermittent control (AAIC) period and the average control rate are defined. Based on these concepts and combined with the construction of interval auxiliary functions, a comparative lemma is established. A novel dynamic exponential E-TC controller is designed to adapt the triggering frequency. The scheduling of asynchronous nodes for the triggering events and the actuation of the control further enables the control width to be more flexible. By combining the comparison lemma with averaging analysis, we derive conditions for mean-square synchronization of the network under multiplex attacks. It is shown that the proposed AAIC with an exponential-decay triggering mechanism reduces the number of control updates compared to both non-exponential dynamic E-TC and static E-TC. Finally, the derived results are applied to small-world networks, and some examples are given to demonstrate the validity.</p>

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Synchronization of coupled networks under multi-layer deception attacks: asynchronously dynamic event-triggered intermittent control

  • 期刊论文

  • 发表日期：

    2026年3月24日

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  • Lingzhong Zhang,
  • Bangxin Jiang,
  • Yuhang Pan,
  • Jianquan Lu

摘要

In this paper, an asynchronous dynamic event-triggered control (E-TC) scheme is proposed for coupled networks subject to multiplex malicious attacks and aperiodic intermittent actuation. The considered network architecture is exposed to edge-injection and node-replacement attacks, in which each type occurs with varying probabilities of occurrence. In addition, the concepts of the average asynchronous aperiodic intermittent control (AAIC) period and the average control rate are defined. Based on these concepts and combined with the construction of interval auxiliary functions, a comparative lemma is established. A novel dynamic exponential E-TC controller is designed to adapt the triggering frequency. The scheduling of asynchronous nodes for the triggering events and the actuation of the control further enables the control width to be more flexible. By combining the comparison lemma with averaging analysis, we derive conditions for mean-square synchronization of the network under multiplex attacks. It is shown that the proposed AAIC with an exponential-decay triggering mechanism reduces the number of control updates compared to both non-exponential dynamic E-TC and static E-TC. Finally, the derived results are applied to small-world networks, and some examples are given to demonstrate the validity.