Journal of Guangxi Normal University(Natural Science Edition) ›› 2025, Vol. 43 ›› Issue (2): 168-178.doi: 10.16088/j.issn.1001-6600.2024040204

• Mathematics and Statistics • Previous Articles     Next Articles

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

GAO Yubo1, YE Zhaoxian2, HUANG Shuai1, ZHOU Xia1,3,4*, CHENG Jun5   

  1. 1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin Guangxi 541004, China;
    2. School of Computer Science and Information Security, Guilin University of Electronic Technology, Guilin Guangxi 541004, China;
    3. Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin Guangxi 541004, China;
    4. Center for Applied Mathematics of Guangxi (Guilin University of Electronic Technology), Guilin Guangxi 541004, China;
    5. School of Mathematics and Statistics, Guangxi Normal University, Guilin Guangxi 541006, China
  • Received:2024-04-02 Online:2025-03-05 Published:2025-04-02

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Abstract: 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.

Key words: multi-agent systems, deception attacks, replay attacks, Markov switching topology, leader-following consensus

CLC Number:  O175.1; O231.3
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