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Quasi-synchronization of multiplex networks under deception attacks via event-triggered impulsive protocol

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  • Jin, Xin
  • Chen, Xiaojie
  • Wang, Zhengxin

Abstract

In our work, we provide a novel mathematical model for heterogeneous multiplex networks under deception attacks to analyze synchronization behaviors of the nodes. We introduce a leader and design a static event-triggered impulsive protocol. In addition, to further save control costs, we then design a dynamic event-triggered impulsive protocol. By utilizing the Lyapunov stability method and average impulsive interval method, for both static and dynamic event-triggered impulsive protocols, the sufficient synchronization conditions guaranteeing that all follower nodal states finally converge to a bounded region are derived, and the value of upper bound of the convergence region is also determined. Finally, two numerical examples are provided to verify the effectiveness of the theoretical results.

Suggested Citation

  • Jin, Xin & Chen, Xiaojie & Wang, Zhengxin, 2026. "Quasi-synchronization of multiplex networks under deception attacks via event-triggered impulsive protocol," Applied Mathematics and Computation, Elsevier, vol. 508(C).
    • Handle: RePEc:eee:apmaco:v:508:y:2026:i:c:s0096300325003613
    DOI: 10.1016/j.amc.2025.129635
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