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

IF 3.4 2区 数学 Q1 MATHEMATICS, APPLIED
Xin Jin , Xiaojie Chen , Zhengxin Wang
{"title":"Quasi-synchronization of multiplex networks under deception attacks via event-triggered impulsive protocol","authors":"Xin Jin ,&nbsp;Xiaojie Chen ,&nbsp;Zhengxin Wang","doi":"10.1016/j.amc.2025.129635","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"508 ","pages":"Article 129635"},"PeriodicalIF":3.4000,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300325003613","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0

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.
基于事件触发脉冲协议的欺骗攻击下多路网络的准同步
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。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
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.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信