网络攻击下具有Markov切换拓扑的多智能体系统的一致性  

Consensus of Multi-agent Systems with Markov Switching Topology under Cyber-Attacks

作　　者：高钰博 叶钊显 黄帅 周霞 成军[5] GAO Yubo;YE Zhaoxian;HUANG Shuai;ZHOU Xia;CHENG Jun(School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin Guangxi 541004,China;School of Computer Science and Information Security,Guilin University of Electronic Technology,Guilin Guangxi 541004,China;Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation,Guilin University of Electronic Technology,Guilin Guangxi 541004,China;Center for Applied Mathematics of Guangxi(Guilin University of Electronic Technology),Guilin Guangxi 541004,China;School of Mathematics and Statistics,Guangxi Normal University,Guilin Guangxi 541006,China)

机构地区：[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]桂林电子科技大学广西高校数据分析与计算重点实验室,广西桂林541004 [4]广西应用数学中心(桂林电子科技大学),广西桂林541004 [5]广西师范大学数学与统计学院,广西桂林541006

出　　处：《广西师范大学学报(自然科学版)》2025年第2期168-178,共11页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家级大学生创新训练计划项目(202210595044);国家自然科学基金(12161024);广西自然科学基金(2021GXNSFAA196045)。

摘　　要：本文研究非线性多智能体系统在遭受欺骗攻击或重放攻击,并且通信拓扑为Markov切换拓扑时的领导-跟随一致性问题。引入Bernoulli随机变量描述系统遭受欺骗攻击或重放攻击的随机发生。网络攻击导致多智能体系统的通讯拓扑发生随机改变,将其建模为Markov切换拓扑。基于稳定性理论、图论、矩阵理论,利用随机分析方法、Lyapunov方法、无穷小算法等,获得系统实现一致性的充分条件,并给出数值仿真实例,验证结果的正确性和方法的有效性。This paper studies the leader-following consensus problem of nonlinear multi-agent systems under deception attacks of replay attacks,with Markov switching topologies.The Bernoulli random variable is introduced to describe the random occurrence of deception attacks or replay attacks on the system.The communication topologies of multi-agent system are randomly changed due to cyber-attacks,which are modeled as Markov switching topology.Based on stability theory,graph theory,and matrix theory,the sufficient conditions for the consensus of the system are obtained by random analysis method,Lyapunov method,infinitesimal algorithm and so on.The correctness of the results and the effectiveness of the methods are verified by numerical example.

关 键 词：多智能体系统 欺骗攻击 重放攻击 Markov切换拓扑 领导-跟随一致性 

分 类 号：O175.1[理学—数学] O231.3[理学—基础数学]