考虑通信和梯度时延的联盟博弈分布式对偶平均算法及在编队控制中的应用
收稿日期: 2024-09-30
修回日期: 2024-10-18
录用日期: 2024-11-04
网络出版日期: 2024-11-25
基金资助
国家自然科学基金(61973050);国家自然科学基金(62173061);辽宁省科技合作项目(2023JH2/101700362);辽宁省科技合作项目(2023JH2/101300200)
Distributed dual average algorithm with communication and gradient delays for coalition games and its application in formation control
Received date: 2024-09-30
Revised date: 2024-10-18
Accepted date: 2024-11-04
Online published: 2024-11-25
Supported by
National Natural Science Foundation of China(61973050);Liaoning Province Science and Technology Cooperation Programs(2023JH2/101700362)
刘加勋 , 陈明飞 , 徐晓鹏 , 刘帅 , 王东 . 考虑通信和梯度时延的联盟博弈分布式对偶平均算法及在编队控制中的应用[J]. 航空学报, 2025 , 46(11) : 531322 -531322 . DOI: 10.7527/S1000-6893.2024.31322
To address coalition games with communication and gradient delays， this paper proposes a distributed algorithm based on dual averaging and delayed gradient to seek the Nash equilibrium. With the help of augmented graphs and Bregman divergence， it is demonstrated that the proposed algorithm converges to the Nash equilibrium at a sub-linear rate， and the effect of communication and gradient delays on the convergence error is also clarified. Simulations in formation of unmanned aerial vehicle swarms verify the effectiveness of the proposed algorithm.
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