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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…

Optimization and Control · Mathematics 2023-03-13 Arman Pourghorban , Dipankar Maity

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…

Systems and Control · Electrical Eng. & Systems 2025-09-18 Arman Pourghorban , Dipankar Maity

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…

Systems and Control · Electrical Eng. & Systems 2021-05-04 Daigo Shishika , Vijay Kumar

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…

Robotics · Computer Science 2022-12-14 Arman Pourghorban , Michael Dorothy , Daigo Shishika , Alexander Von Moll , 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…

Robotics · Computer Science 2021-01-01 Elijah S. Lee , Daigo Shishika , Vijay Kumar

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…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Goutam Das , Michael Dorothy , Zachary I. Bell , Daigo Shishika

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,…

Optimization and Control · Mathematics 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…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Arman Pourghorban , Dipankar Maity

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…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Alexander Von Moll , Dipankar Maity , Meir Pachter , Daigo Shishika , Michael Dorothy

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,…

Systems and Control · Electrical Eng. & Systems 2020-06-05 Daigo Shishika , James Paulos , Vijay Kumar

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…

Robotics · Computer Science 2021-09-08 Elijah S. Lee , Daigo Shishika , Giuseppe Loianno , Vijay Kumar

We consider a perimeter defense problem in which a single vehicle seeks to defend a compact region from intruders in a one-dimensional environment parameterized by the perimeter size and the intruder-to-vehicle speed ratio. The intruders…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Shivam Bajaj , Eric Torng , Shaunak D. Bopardikar

A defender dispatches patrollers to circumambulate a perimeter to guard against potential attacks. The defender decides on the time points to dispatch patrollers and each patroller's direction and speed, as long as the long-run rate…

Optimization and Control · Mathematics 2020-11-10 Kyle Y Lin

This paper is concerned with the reconnaissance game that involves two mobile agents: the Intruder and the Defender. The Intruder is tasked to reconnoiter a territory of interest (target region) and then return to a safe zone (retreat…

Systems and Control · Electrical Eng. & Systems 2023-03-22 Yoonjae Lee , Efstathios Bakolas

Previous studies in the perimeter defense game have largely focused on the fully observable setting where the true player states are known to all players. However, this is unrealistic for practical implementation since defenders may have to…

Computer Vision and Pattern Recognition · Computer Science 2022-09-27 Elijah S. Lee , Giuseppe Loianno , Dinesh Jayaraman , Vijay Kumar

This paper addresses the active target defense differential game where an Attacker missile pursues a Target aircraft. A Defender missile is fired by the Target's wingman in order to intercept the Attacker before it reaches the aircraft.…

Optimization and Control · Mathematics 2015-02-11 Eloy Garcia , David W. Casbeer , Meir Pachter

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…

Systems and Control · Computer Science 2019-11-19 Rui Yan , Zongying Shi , Yisheng Zhong

We introduce and study coverage games - a novel framework for multi-agent planning in settings in which a system operates several agents but does not have full control on them, or interacts with an environment that consists of several…

Computer Science and Game Theory · Computer Science 2026-03-24 Orna Kupferman , Noam Shenwald

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…

Optimization and Control · Mathematics 2015-04-30 Eloy Garcia , David W. Casbeer , Meir Pachter

In the recently introduced network patrolling game, an Attacker carries out an attack on a node of her choice, for a given number m of consecutive periods. The parameter m indicates the difficulty of the attack at a given node. To thwart…

Optimization and Control · Mathematics 2019-08-15 Steve Alpern , Stamatios Katsikas
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