标题：Stackelberg strategy for two-player game with time delay
作者：Xu, Juanjuan ;Zhang, Huanshui
作者机构：[Xu, Juanjuan ;Zhang, Huanshui ] School of Control Science and Engineering, Shandong University, Jinan, 250061, China
会议名称：32nd Chinese Control Conference, CCC 2013
会议日期：26 July 2013 through 28 July 2013
来源：Chinese Control Conference, CCC
关键词：Leader-Follower; Riccati equation; Stackelberg Strategy; Time delay
摘要：In this paper, we mainly study the leader-follower game with time delay appearing in the control of the leader. Although the problem without delay has been well studied in the past decades, there is little progressing for the problem with time delay to the best of our knowledge. Our main contribution is to give a sufficient and necessary condition to ensure the existence and uniqueness of the open-loop Stackelberg strategy for the game with delay. Further, to prevent the coupled and nonsymmetric Riccati equations found in some solutions for the game without delay, we derive the decoupled and symmetric Riccati equations which are easier to be solved by introducing two new co-states. © 2013 TCCT, CAA.