Discrete-time Linear Quadratic Mean-field Social Control

被引:0
|
作者
Ma, Xiao
Wang, Bingchang
Zhang, Huanshui
机构
关键词
mean field system; social optimal; decentralized control; MULTIAGENT SYSTEMS; GAMES; NASH; MODELS;
D O I
10.23919/chicc.2019.8866445
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper investigates social optimal control problem for linear quadratic discrete-time mean field systems. Firstly. by analyzing the variation of the social cost, we obtain a set of forward-backward stochastic equations for this problem. Secondly, a decentralized controller is given to minimize the social cost function. Finally, we show that the obtained controller is asymptotic social optimal.
引用
收藏
页码:1985 / 1988
页数:4
相关论文
共 50 条
  • [31] Mean-field formulation for the infinite-horizon mean-variance control of discrete-time linear systems with multiplicative noises
    Barbieri, Fabio
    Costa, Oswaldo L. V.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2020, 14 (17): : 2600 - 2612
  • [32] Linear Feedback of Mean-Field Stochastic Linear Quadratic Optimal Control Problems on Time Scales
    Zhu, Yingjun
    Jia, Guangyan
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [33] Large deviations principle for discrete-time mean-field games
    Saldi, Naci
    [J]. SYSTEMS & CONTROL LETTERS, 2021, 157
  • [34] Quadratic Control of Linear Discrete-time Positive Systems
    Krokavec, Dusan
    Filasova, Anna
    [J]. 2018 EUROPEAN CONTROL CONFERENCE (ECC), 2018, : 2879 - 2884
  • [35] Time-Inconsistent Mean-Field Stochastic Linear-Quadratic Optimal Control
    Ni Yuan-Hua
    [J]. PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 2577 - 2582
  • [36] Decentralized control for discrete-time mean-field systems with multiple controllers of delayed information
    Qi, Qingyuan
    Liu, Zhiqiang
    Zhang, Qianqian
    Lv, Xinbei
    [J]. ASIAN JOURNAL OF CONTROL, 2024, 26 (02) : 753 - 767
  • [37] LINEAR-QUADRATIC-GAUSSIAN MEAN-FIELD CONTROLS OF SOCIAL OPTIMA
    Qiu, Zhenghong
    Huang, Jianhui
    Xie, Tinghan
    [J]. MATHEMATICAL CONTROL AND RELATED FIELDS, 2021, : 1 - 34
  • [38] Refined mean-field approximation for discrete-time queueing networks with blocking
    Pan, Yang
    Shi, Pengyi
    [J]. NAVAL RESEARCH LOGISTICS, 2023, 70 (07) : 770 - 789
  • [39] Study on stability and stabilizability of discrete-time mean-field stochastic systems
    Ma, Limin
    Zhang, Weihai
    Zhao, Yong
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (04): : 2153 - 2171
  • [40] Learning in Discrete-time Average-cost Mean-field Games
    Anahtarci, Berkay
    Kariksiz, Can Deha
    Saldi, Naci
    [J]. 2021 60TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2021, : 3048 - 3053