@article{Feng2026, 
author = {Zinxin Feng and Wenchao Xue and Hongsheng Qi and Long Cheng},
title = {On Explicit Optimal Strategies for Two Pursuit-evasion Problems under Distance Condition in Frame of Differential Games},
year = {2026},
journal = {Unmanned Systems},
volume = {14},
number = {1},
pages = {63-77},
keywords = {Pursuit-evasion (PE) problems, differential games (DGs), trajectory planning, Nash equilibria},
url = {https://www.sciopen.com/article/10.1142/S2301385025500827},
doi = {10.1142/S2301385025500827},
abstract = {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.}
}