Robust Distributed Nash Equilibrium Seeking for Games Under Attacks and Communication Delays

• 成果类型: Article
• 署名作者: Wang, Xue-Fang; Sun, Xi-Ming; Ye, Maojiao; Liu, Kun-Zhi
• 署名单位: Dalian University of Technology; Nanjing University of Science & Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3164984
• 发表日期: 2022
• 页码: 4892-4899
• 关键词: Delays; Heuristic algorithms; games; Robustness; Nash equilibrium; Directed graphs; Time-domain analysis; Distributed robust Nash equilibrium (NE) seeking; hybrid systems with memory; networked attacks; unknown terms

摘要

In this article, a noncooperative game in which the engaged players are of double integrator-type dynamics, is investigated. The dynamics of the players are considered to be subject to unknown time-varying disturbances and unmodeled terms. Besides, the communication topology among the players suffers from attacks and time-varying communication delays. To find a Nash equilibrium for such games, a distributed robust Nash equilibrium seeking algorithm is proposed. By utilizing average dwell-time and time-ratio constraints to tackle the attacks, the closed-loop system is modeled as a hybrid system with memory. To analyze the stability of the distributed switched algorithm, a Lyapunov functional is constructed, by which we show the uniform global asymptotic stability of the equilibrium. Finally, an example is given to illustrate our results.