基于事件触发脉冲协议的欺骗攻击下多路网络的准同步

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2025-07-22 DOI:10.1016/j.amc.2025.129635

Xin Jin , Xiaojie Chen , Zhengxin Wang

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引用次数: 0

摘要

在我们的工作中，我们为欺骗攻击下的异构多路网络提供了一种新的数学模型来分析节点的同步行为。我们引入了一个leader，并设计了一个静态事件触发脉冲协议。此外，为了进一步节省控制成本，我们设计了一个动态事件触发脉冲协议。利用Lyapunov稳定性方法和平均脉冲区间方法，推导了静态和动态事件触发脉冲协议所有跟随节点状态最终收敛到有界区域的充分同步条件，并确定了收敛区域上界的值。最后给出了两个数值算例，验证了理论结果的有效性。

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

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.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.