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带Markov拓扑的多智能体系统在DoS攻击和DAs下的均方一致性

陈钊杰 叶钊显 高钰博 周霞 马忠军

应用数学2025,Vol.38Issue(3):670-680,11.
应用数学2025,Vol.38Issue(3):670-680,11.

带Markov拓扑的多智能体系统在DoS攻击和DAs下的均方一致性

Mean Square Consensus of Multi-agent Systems with Markov Topology Under DoS Attacks and DAs

陈钊杰 1叶钊显 2高钰博 1周霞 3马忠军3

作者信息

  • 1. 桂林电子科技大学数学与计算科学学院,广西桂林 541004
  • 2. 桂林电子科技大学计算机与信息安全学院,广西桂林 541004
  • 3. 桂林电子科技大学数学与计算科学学院,广西桂林 541004||桂林电子科技大学广西高校数据分析与计算重点实验室,广西桂林 541004||广西数学应用中心(桂林电子科技大学),广西桂林 541004
  • 折叠

摘要

Abstract

The leader-following mean square consensus problem of nonlinear multi-agent systems with Markov switching topology under denial of service(DoS)attacks and deception attacks(DAs)is studied.The Bernoulli random variable sequence are used to describe the multi-agent systems subjected to random DoS attack or DAs.When the system suffering from network attack,the parameters and structure of the network communication topologies between multi-agents change randomly,which are modelled as Markov switching topologies.Based on the stochastic differential equation and distributed control theory,the sufficient conditions for the leader-following mean square consensus of the system are obtained using the stochastic analysis method and Lyapunov direct method.The correctness of the obtained results and the effectiveness of the method are verified by a numerical simulation.

关键词

非线性多智能体系统/DoS攻击/DAs/Markov切换拓扑/均方一致性

Key words

Nonlinear multi-agent system/DoS attack/DAs/Markov switching topology/Mean square consensus

分类

数学

引用本文复制引用

陈钊杰,叶钊显,高钰博,周霞,马忠军..带Markov拓扑的多智能体系统在DoS攻击和DAs下的均方一致性[J].应用数学,2025,38(3):670-680,11.

基金项目

国家自然科学基金(12161024) (12161024)

国家级大学生创新训练计划项目(202210595044) (202210595044)

广西自然科学基金面上项目(2025GXNSFAA069197) (2025GXNSFAA069197)

应用数学

OA北大核心

1001-9847

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