On Explicit Optimal Strategies for Two Pursuit-evasion Problems under Distance Condition in Frame of Differential Games

This paper studies two pursuit-evasion problems under distance conditions in frame of differential game. In particular, a zero-sum differential game with the objective of distance and a nonzero-sum differential game with objective of both distance and azimuth adjustment are presented. The two player...

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Bibliographic Details
Published inUnmanned systems (Singapore) pp. 1 - 15
Main Authors Feng, Zinxin, Xue, Wenchao, Qi, Hongsheng, Cheng, Long
Format Journal Article
LanguageEnglish
Published 06.12.2024
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ISSN2301-3850
2301-3869
DOI10.1142/S2301385025500827

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Summary:This paper studies two pursuit-evasion problems under distance conditions in frame of differential game. In particular, a zero-sum differential game with the objective of distance and a nonzero-sum differential game with objective of both distance and azimuth adjustment are presented. The two players in the games are described by a nonlinear dynamics model subject to both speed and acceleration constraints in the two-dimensional plane. Instead of numerical solutions, the explicit equilibrium solutions of these two differential games are given under the condition that the distance between two players is larger than a certain value. Finally, the simulation results of these two differential games under typical cases demonstrate the effectiveness of our method.
ISSN:2301-3850
2301-3869
DOI:10.1142/S2301385025500827