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We consider a variant of the target defense problem where a single defender is tasked to capture a sequence of incoming intruders. The intruders' objective is to breach the target boundary without being captured by the defender. As soon as…

机器人学 · 计算机科学 2022-12-14 Arman Pourghorban , Michael Dorothy , Daigo Shishika , Alexander Von Moll , Dipankar Maity

We consider a variant of pursuit-evasion games where a single defender is tasked to defend a static target from a sequence of periodically arriving intruders. The intruders' objective is to breach the boundary of a circular target without…

最优化与控制 · 数学 2023-03-13 Arman Pourghorban , Dipankar Maity

We study a variant of pursuit-evasion game in the context of perimeter defense. In this problem, the intruder aims to reach the base plane of a hemisphere without being captured by the defender, while the defender tries to capture the…

机器人学 · 计算机科学 2021-01-01 Elijah S. Lee , Daigo Shishika , Vijay Kumar

A scenario is considered wherein a stationary, turn constrained agent (Turret) and a mobile agent (Defender) cooperate to protect the former from an adversarial mobile agent (Attacker). The Attacker wishes to reach the Turret prior to…

系统与控制 · 电气工程与系统科学 2025-09-15 Alexander Von Moll , Dipankar Maity , Meir Pachter , Daigo Shishika , Michael Dorothy

This work considers a multiplayer reach-avoid game between two adversarial teams in a general convex domain which consists of a target region and a play region. The evasion team, initially lying in the play region, aims to send as many its…

最优化与控制 · 数学 2019-10-22 Rui Yan , Zongying Shi , Yisheng Zhong

The active target defense differential game is addressed in this paper. In this differential game an Attacker missile pursues a Target aircraft. The aircraft is however aided by a Defender missile launched by, say, the wingman, to intercept…

最优化与控制 · 数学 2015-04-30 Eloy Garcia , David W. Casbeer , Meir Pachter

The perimeter defense game has received interest in recent years as a variant of the pursuit-evasion game. A number of previous works have solved this game to obtain the optimal strategies for defender and intruder, but the derived theory…

机器人学 · 计算机科学 2021-09-08 Elijah S. Lee , Daigo Shishika , Giuseppe Loianno , Vijay Kumar

This letter employs differential game theory to address the defense problem of a circular target area with perception constraints, involving a single defender and a single attacker. The defender is restricted to moving along the perimeter,…

最优化与控制 · 数学 2025-09-16 Xinyi Zhu , Jiali Wang , Yang Tang , Fangfei Li , Yan Zhu

We consider a variant of the target defense problem where a single defender is tasked to capture a sequence of incoming intruders. Both the defender and the intruders have non-holonomic dynamics. The intruders' objective is to breach the…

系统与控制 · 电气工程与系统科学 2025-11-18 Arman Pourghorban , Dipankar Maity

This paper studies a target-defense game played between a slow defender and a fast attacker. The attacker wins the game if it reaches the target while avoiding the defender's capture disk. The defender wins the game by preventing the…

系统与控制 · 电气工程与系统科学 2024-03-19 Goutam Das , Michael Dorothy , Zachary I. Bell , Daigo Shishika

This paper investigates a reach-avoid game between two players with damped double integrator dynamics. An optimal state-feedback strategy is derived using a differential game framework combined with geometric analysis. To facilitate the…

系统与控制 · 电气工程与系统科学 2026-02-20 Mengxin Lyu , Ruiliang Deng , Zongying Shi , Yisheng Zhong

In the Target-Attacker-Defender (TAD) differential game, an Attacker missile strives to capture a Target aircraft. The Target tries to escape the Attacker and is aided by a Defender missile which aims at intercepting the Attacker before the…

最优化与控制 · 数学 2020-02-12 Eloy Garcia , David W. Casbeer , Meir Pachter

This paper studies a variant of multi-player reach-avoid game played between intruders and defenders. The intruder team tries to score by sending as many intruders as possible to the target area, while the defender team tries to minimize…

系统与控制 · 电气工程与系统科学 2021-05-04 Daigo Shishika , Vijay Kumar

This paper studies a variant of the multi-player reach-avoid game played between intruders and defenders with applications to perimeter defense. The intruder team tries to score by sending as many intruders as possible to the target area,…

系统与控制 · 电气工程与系统科学 2020-06-05 Daigo Shishika , James Paulos , Vijay Kumar

We consider a variant of the target defense problem in a planar conical environment where a single defender is tasked to capture a sequence of incoming attackers. The attackers' objective is to breach the target boundary without being…

系统与控制 · 电气工程与系统科学 2025-09-18 Arman Pourghorban , Dipankar Maity

In adversarial patrolling games, a mobile Defender strives to discover intrusions at vulnerable targets initiated by an Attacker. The Attacker's utility is traditionally defined as the probability of completing an attack, possibly weighted…

多智能体系统 · 计算机科学 2022-02-03 David Klaška , Antonín Kučera , Vít Musil , Vojtěch Řehák

This paper considers a subspace guarding game in high-dimensional space which consists of a play subspace and a target subspace. Two faster defenders cooperate to protect the target subspace by capturing an attacker which strives to enter…

系统与控制 · 计算机科学 2019-11-19 Rui Yan , Zongying Shi , Yisheng Zhong

We consider a two player game, where a first player has to install a surveillance system within an admissible region. The second player needs to enter the the monitored area, visit a target region, and then leave the area, while minimizing…

最优化与控制 · 数学 2017-04-13 Jean-Marie Mirebeau , Johann Dreo

We consider a class of pursuit-evasion differential games in which the evader has continuous access to the pursuer's location, but not vice-versa. There is a remote sensor (e.g., a radar station) that can sense the evader's location upon a…

系统与控制 · 电气工程与系统科学 2023-07-04 Dipankar Maity

In this paper we consider a Target-guarding differential game where the Defender must protect a linearly moving line segment by intercepting the Attacker who tries to reach it. In contrast to common Target-guarding problems, we assume that…

系统与控制 · 电气工程与系统科学 2022-07-12 Goutam Das , Daigo Shishika
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