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
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