A Family of Switching Pursuit Strategies for a Multi-Pursuer Single-Evader Game

Fuente: arXiv
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Auteurs principaux: Casini, Marco, Garulli, Andrea
Format: Preprint
Publié: 2024
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author Casini, Marco
Garulli, Andrea
author_facet Casini, Marco
Garulli, Andrea
contents This paper introduces a new family of pursuit strategies for multi-pursuer single-evader games in a planar environment. They leverage conditions under which the minimum-time solution of the game becomes equivalent to that of a suitable two-pursuer single-evader game. This enables the design of strategies in which the pursuers first aim to meet such conditions, and then transition to a two-pursuer game once they are satisfied. As a consequence, naive strategies that are in general unsuccessful, can be turned into winning strategies by switching to the appropriate two-pursuer game. Moreover, it is shown via numerical simulations that the switching mechanism significantly enhances the performance of existing pursuit algorithms, like those based on Voronoi partitions.
format Preprint
id arxiv_https___arxiv_org_abs_2407_19954
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Family of Switching Pursuit Strategies for a Multi-Pursuer Single-Evader Game
Casini, Marco
Garulli, Andrea
Systems and Control
Computer Science and Game Theory
This paper introduces a new family of pursuit strategies for multi-pursuer single-evader games in a planar environment. They leverage conditions under which the minimum-time solution of the game becomes equivalent to that of a suitable two-pursuer single-evader game. This enables the design of strategies in which the pursuers first aim to meet such conditions, and then transition to a two-pursuer game once they are satisfied. As a consequence, naive strategies that are in general unsuccessful, can be turned into winning strategies by switching to the appropriate two-pursuer game. Moreover, it is shown via numerical simulations that the switching mechanism significantly enhances the performance of existing pursuit algorithms, like those based on Voronoi partitions.
title A Family of Switching Pursuit Strategies for a Multi-Pursuer Single-Evader Game
topic Systems and Control
Computer Science and Game Theory
url https://arxiv.org/abs/2407.19954