Optimal Strategies of the Differential Game in a Circular Region

被引:33
作者
Garcia, Eloy [1 ]
Casbeer, David W. [1 ]
Pachter, Meir [2 ]
机构
[1] US Air Force, Control Sci Ctr Excellence, Res Lab, Wright Patterson AFB, OH 45433 USA
[2] US Air Force, Dept Elect Engn, Inst Technol, Wright Patterson AFB, OH 45433 USA
来源
IEEE CONTROL SYSTEMS LETTERS | 2020年 / 4卷 / 02期
关键词
Aerospace; autonomous systems; game theory; LION;
D O I
10.1109/LCSYS.2019.2963173
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A two-player differential game is considered where a spy infiltrates the region of interest and a defender pursues and tries to capture the spy before it leaves such region. This letter provides the complete solution of this game by characterizing the Barrier surface which separates the state space into the regions of win of the defender and the spy. In each region the optimal strategies that guarantee the prescribed outcome are provided. This is in contrast to recent results addressing the same problem where the proposed strategies do not guarantee capture of the spy by the defender when initially this outcome was prescribed by the game of kind solution.
引用
收藏
页码:492 / 497
页数:6
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