标题：LQR Control in Mean Field of Discrete-time Delayed System
作者：Zhang, Fangfang; Wang, Wei; Zhang, Huanshui
作者机构：[Zhang, Fangfang; Wang, Wei; Zhang, Huanshui] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China.
会议名称：32nd Chinese Control Conference (CCC)
会议日期：JUL 26-28, 2013
来源：2013 32ND CHINESE CONTROL CONFERENCE (CCC)
关键词：Decentralized Control; Mean Field; Discrete-time Delayed System
摘要：This paper studies the decentralized optimal control of discrete-time system with input delay. We consider LQR problems which have a large number of agents with the identical decoupling dynamical equations and the coupling cost function through the mean field. Using the optimal control and state aggregation methods of the discrete delayed system, we get the decentralized and centralized optimal controllers. And then we prove that the optimal controllers and cost function of the centralized and decentralized solutions are equivalent for the scaler models.