This paper investigates a pursuit-evasion game with multiple evaders and a superior pursuer situated on a two-dimensional plane, divided by two lifelines into the play area and goal areas. The goal of the evaders is to reach one of the two goal areas, while the pursuer aims to capture them before they reach the lifeline. This paper constructs barriers without time delay and with time delay, respectively. For each evader, the entire barrier divides the game area into regions of dominance for the evader and pursuer, respectively. Cooperative and non-cooperative strategies between two evaders are studied when the evaders' positions are within the pursuer's dominance region. We consider the impact of different strategies adopted by the evaders and variations in the distance between the two lifelines on the number of captures by the pursuer. Furthermore, Apollonius circles and Cartesian ovals are used to determine optimal target points for the evaders under different circumstances. Subsequently, we extend the cooperative strategies of the evaders to multiplayer cooperative games, transform them into optimization problems, and use optimization algorithm to derive the cooperative strategies of multiple evaders. Finally, numerical simulations for various cases are presented in this paper.

Ningsheng Xu

Fang Deng

Weiwen Huang

Li Liang

Xiang Shi

European Journal of Control

ACSM 关注固体材料科学的前沿创新。该杂志涵盖了广泛的科学领域，从冶金、半导体、固体矿物化合物、有机高分子化合物到复合材料。编辑委员会鼓励提交涉及材料科学各个方面的原创论文，包括但不限于合成和加工、性质表征、反应性和反应动力学、服务进化和回收利用。论文应提供对固体材料的新见解，并对知识做出重要的原创性贡献。

The journal "Annales de Chimie: Science des Materiaux" focuses on cutting-edge innovations in solid materials science, covering a wide range of scientific fields including metallurgy, semiconductors, solid mineral compounds, organic polymers, and composites. The editorial board encourages the submission of original papers that address various aspects of materials science, including but not limited to synthesis and processing, property characterization, reactivity and reaction kinetics, service evolution, and recycling. Papers should provide new insights into solid materials and make significant original contributions to knowledge.

《Annales de Chimie: Science des Materiaux》关注固体材料科学的前沿创新，涵盖冶金、半导体、固体矿物化合物、有机高分子化合物及复合材料等多个科学领域。编辑委员会鼓励提交涉及材料科学各个方面的原创论文，包括但不限于合成与加工、性质表征、反应性与反应动力学、服务进化及回收利用。论文应提供对固体材料的新见解，并对知识做出重要的原创性贡献。

Category	Quartile
计算机科学	3
计算机科学, 自动化与控制系统	3

One superior pursuer and multiple-evader differential games with two lifelines

ivySCI AI Smartly Parses PDF, Answers Researchers' Questions, and Helps You Understand Papers in Seconds

Journal Info

Category	Quartile
MATERIALS SCIENCE, MULTIDISCIPLINARY	4