论文标题

追求逃避差异游戏的简介

An Introduction to Pursuit-evasion Differential Games

论文作者

Weintraub, Isaac E., Pachter, Meir, Garcia, Eloy

论文摘要

追求和逃避冲突代表了在航空航天和机器人技术中的重要应用方面的挑战性问题。在追求逃避问题时,智能行动的综合必须考虑对手的潜在策略。差异游戏理论提供了一个足够的框架,可以分析冲突的可能结果,而无需承担对手的特定行为。本文介绍了追求逃避差异游戏的有组织介绍,并概述了该地区的最新进展。首先,概述了开创性工作的摘要,强调了重要的贡献。接下来,通过使用基于玩家的数量进行分类来描述最新的结果:One-Pursuer-One-evader,N-Pursuer-One-En-Evader,One-Pursuer-M-Evaders和N-Pursuer-M-Evader Games。在每种情况下,都会简要介绍文献。最后,详细研究了两个代表性的追求逃避差异游戏:两人和逃犯的船舶差异游戏以及主动的目标防御差异游戏。这些问题提供了两个重要的应用程序,更重要的是,它们可以深入了解友好代理商之间合作的实现,以组成一个团队并击败对手。

Pursuit and evasion conflicts represent challenging problems with important applications in aerospace and robotics. In pursuit-evasion problems, synthesis of intelligent actions must consider the adversary's potential strategies. Differential game theory provides an adequate framework to analyze possible outcomes of the conflict without assuming particular behaviors by the opponent. This article presents an organized introduction of pursuit-evasion differential games with an overview of recent advances in the area. First, a summary of the seminal work is outlined, highlighting important contributions. Next, more recent results are described by employing a classification based on the number of players: one-pursuer-one-evader, N-pursuers-one-evader, one-pursuer-M-evaders, and N-pursuer-M-evader games. In each scenario, a brief summary of the literature is presented. Finally, two representative pursuit-evasion differential games are studied in detail: the two-cutters and fugitive ship differential game and the active target defense differential game. These problems provide two important applications and, more importantly, they give great insight into the realization of cooperation between friendly agents in order to form a team and defeat the adversary.

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