A Geometric Approach for the Cooperative Two-Pursuer One-Evader Differential Game

Authors

Eloy Garcia
Zacharia E. Fuchs
Dejan Milutinovic
David W. Casbeer, Air Force Research Laboratory
Meir Pachter, Air Force Institute of TechnologyFollow

Document Type

Article

Publication Date

2017

Abstract

This paper revisits Isaacs’ two cutters and fugitive ship differential game where two faster pursuers cooperate to capture a slower evader in minimum time; the three players have simple motion. The evader, knowing that is being pursued by two cooperative pursuers, tries to maximize the capture time. A solution of this differential game is determined based on the Hamiltonian formulation and based on the geometric properties of the game. Additionally, this solution is verified by analyzing the properties of the obtained candidate Value function.

Comments

The "Link to Full Text" button on this page loads the open access article version of record, hosted at Elsevier. The Copyright of articles submitted to IFAC before October 1, 2019, belongs to IFAC. The full text of these articles is publicly available on ScienceDirect. © 2017 International Federation of Automatic Control

DOI

10.1016/j.ifacol.2017.08.2366

Source Publication

IFAC-PapersOnLine

Recommended Citation

Garcia, E., Fuchs, Z. E., Milutinovic, D., Casbeer, D. W., & Pachter, M. (2017). A geometric approach for the cooperative two-pursuer one-evader differential game. IFAC-PapersOnLine, 50(1), 15209–15214. https://doi.org/10.1016/j.ifacol.2017.08.2366