Nash Equilibrium Seeking for Multi-Agent Systems Under DoS Attacks and Disturbances

In this article, the primary focus is on studying a Nash equilibrium (NE) seeking algorithm to maintain system resilience in multi-agent systems (MASs), which are subject to denial-of-service (DoS) attacks and disturbance. Furthermore, we demonstrate the performance of the algorithm in tolerating such attacks. DoS attacks are modeled using Markov processes, and their impact on interagent communication is investigated. The considered n-order MAS is unable to maintain normal communication links when subjected to DoS attacks. To address this issue, stability analysis is conducted to demonstrate the effectiveness of the proposed NE seeking algorithm in achieving secure control of MAS. Conditions for maintaining resilience under attacks are also provided. Finally, numerical simulations are performed on a satellite cluster system, and physical experiments are conducted using a wheeled robot ground platform to validate the effectiveness of the algorithm.