Articles

Distributed dual average algorithm with communication and gradient delays for coalition games and its application in formation control

  • Jiaxun LIU ,
  • Mingfei CHEN ,
  • Xiaopeng XU ,
  • Shuai LIU ,
  • Dong WANG
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  • Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education,School of Control Science and Engineering,Dalian University of Technology,Dalian 116024,China
E-mail: dwang@dlut.edu.cn

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)

Abstract

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.

Cite this article

Jiaxun LIU , Mingfei CHEN , Xiaopeng XU , Shuai LIU , Dong WANG . Distributed dual average algorithm with communication and gradient delays for coalition games and its application in formation control[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2025 , 46(11) : 531322 -531322 . DOI: 10.7527/S1000-6893.2024.31322

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