Guarding a Target Area from a Heterogeneous Group of Cooperative Attackers

Fuente: arXiv
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Auteurs principaux: Lee, Yoonjae, Das, Goutam, Shishika, Daigo, Bakolas, Efstathios
Format: Preprint
Publié: 2024
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author Lee, Yoonjae
Das, Goutam
Shishika, Daigo
Bakolas, Efstathios
author_facet Lee, Yoonjae
Das, Goutam
Shishika, Daigo
Bakolas, Efstathios
contents In this paper, we investigate a multi-agent target guarding problem in which a single defender seeks to capture multiple attackers aiming to reach a high-value target area. In contrast to previous studies, the attackers herein are assumed to be heterogeneous in the sense that they have not only different speeds but also different weights representing their respective degrees of importance (e.g., the amount of allocated resources). The objective of the attacker team is to jointly minimize the weighted sum of their final levels of proximity to the target area, whereas the defender aims to maximize the same value. Using geometric arguments, we construct candidate equilibrium control policies that require the solution of a (possibly nonconvex) optimization problem. Subsequently, we validate the optimality of the candidate control policies using parametric optimization techniques. Lastly, we provide numerical examples to illustrate how cooperative behaviors emerge within the attacker team due to their heterogeneity.
format Preprint
id arxiv_https___arxiv_org_abs_2407_00762
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Guarding a Target Area from a Heterogeneous Group of Cooperative Attackers
Lee, Yoonjae
Das, Goutam
Shishika, Daigo
Bakolas, Efstathios
Systems and Control
Multiagent Systems
In this paper, we investigate a multi-agent target guarding problem in which a single defender seeks to capture multiple attackers aiming to reach a high-value target area. In contrast to previous studies, the attackers herein are assumed to be heterogeneous in the sense that they have not only different speeds but also different weights representing their respective degrees of importance (e.g., the amount of allocated resources). The objective of the attacker team is to jointly minimize the weighted sum of their final levels of proximity to the target area, whereas the defender aims to maximize the same value. Using geometric arguments, we construct candidate equilibrium control policies that require the solution of a (possibly nonconvex) optimization problem. Subsequently, we validate the optimality of the candidate control policies using parametric optimization techniques. Lastly, we provide numerical examples to illustrate how cooperative behaviors emerge within the attacker team due to their heterogeneity.
title Guarding a Target Area from a Heterogeneous Group of Cooperative Attackers
topic Systems and Control
Multiagent Systems
url https://arxiv.org/abs/2407.00762