计算机工程与应用 ›› 2023, Vol. 59 ›› Issue (12): 77-83.DOI: 10.3778/j.issn.1002-8331.2207-0192

• 理论与研发 • 上一篇    下一篇

DoS攻击下二阶多智能体系统二分跟踪一致性

罗香,冯元珍   

  1. 南京邮电大学 理学院,南京 210023
  • 出版日期:2023-06-15 发布日期:2023-06-15

Bipartite Consensus Tracking of Second-Order Multi-Agent Systems Under DoS Attacks

LUO Xiang, FENG Yuanzhen   

  1. School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
  • Online:2023-06-15 Published:2023-06-15

摘要: 针对拒绝服务(denial-of-service,DoS)攻击下的二阶非线性多智能体系统,研究了其领导跟随安全二分一致性问题。所考虑的DoS攻击是基于时间序列且非周期发生的攻击。针对无时滞和有通信时滞两种情形,分别设计了分布式二分一致性协议,利用李雅普诺夫稳定性理论和图论,分析了二分误差系统的稳定性,得到了多智能体系统实现二分跟踪一致性与DoS攻击频率、长度比率及控制参数等相关的充分条件。通过仿真实例验证了所设计方法的正确性。

关键词: 二阶非线性多智能体系统, 通信时滞, 领导跟随二分一致性, DoS攻击

Abstract: The leader-following secure bipartite consensus problem is investigated for second-order nonlinear multi-agent systems under denial-of-service(DoS) attacks. A class of aperiodic DoS attacks based on time series is considered. Distributed bipartite consensus protocols are designed for multi-agent systems without and with communication delay, respectively. Lyapunov stability theory and graph theory are utilized to analyze the stability of bipartite error systems. Sufficient conditions are derived for ensuring the leader-following bipartite consensus of multi-agent systems, which involve the attack frequency, the length rate of DoS attacks, control parameters and so on. Finally, simulation examples demonstrate the correctness of the designed method.

Key words: second-order nonlinear multi-agent systems, communication delay, leader-following bipartite consensus, DoS attack