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This paper studies a multi-robot visibility-based pursuit-evasion problem in which a group of pursuer robots are tasked with detecting an evader within a two dimensional polygonal environment. The primary contribution is a novel formulation…

Robotics · Computer Science 2021-09-21 Trevor Olsen , Nicholas M. Stiffler , Jason M. O'Kane

We consider the following generalization of the classical pursuit-evasion problem, which we call k-capture. A group of n pursuers (hyenas) wish to capture an evader (lion) who is free to move in an m-dimensional Euclidean space, the…

Computer Science and Game Theory · Computer Science 2011-08-09 Shaunak D. Bopardikar , Subhash Suri

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

In this paper, we address a pursuit-evasion game involving multiple players by utilizing tools and techniques from reinforcement learning and matrix game theory. In particular, we consider the problem of steering an evader to a goal…

Systems and Control · Electrical Eng. & Systems 2020-03-10 Jhanani Selvakumar , Efstathios Bakolas

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…

Optimization and Control · Mathematics 2019-10-22 Rui Yan , Zongying Shi , Yisheng Zhong

Pursuit-evasion is a multi-agent sequential decision problem wherein a group of agents known as pursuers coordinate their traversal of a spatial domain to locate an agent trying to evade them. Pursuit evasion problems arise in a number of…

Machine Learning · Computer Science 2018-11-13 Zhen Li , Nicholas J. Meyer , Eric B. Laber , Robert Brigantic

This paper examines the degree to which an evader seeking a safe and efficient path to a target location can benefit from increasing levels of knowledge regarding one or more range-limited pursuers seeking to intercept it. Unlike previous…

Optimization and Control · Mathematics 2025-12-23 Thomas Chapman , Alexander Von Moll , Isaac E. Weintraub

Suppose an unpredictable evader is free to move around in a polygonal environment of arbitrary complexity that is under full camera surveillance. How many pursuers, each with the same maximum speed as the evader, are necessary and…

Computer Science and Game Theory · Computer Science 2011-10-24 Kyle Klein , Subhash Suri

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…

Systems and Control · Electrical Eng. & Systems 2023-07-04 Dipankar Maity

We study pursuit-evasion in a polygonal environment with polygonal obstacles. In this turn based game, an evader $e$ is chased by pursuers $p_1, p_2, ..., p_{\ell}$. The players have full information about the environment and the location…

Computational Geometry · Computer Science 2014-10-21 Brendan Ames , Andrew Beveridge , Rosalie Carlson , Claire Djang , Volkan Isler , Stephen Ragain , Maxray Savage

Minimum circle circumnavigation is proposed in this paper, which is of special value in target monitoring, capturing and/or attacking. In this paper, a safe minimum circle circumnavigation of multiple targets based on bearing measurements…

Multiagent Systems · Computer Science 2021-10-12 Chao Wang , Yingjing Shi , Rui Li , Yongduan Song

In this paper, we consider a territory guarding game involving pursuers, evaders and a target in an environment that contains obstacles. The goal of the evaders is to capture the target, while that of the pursuers is to capture the evaders…

Artificial Intelligence · Computer Science 2019-10-18 Sagar Verma , Richa Verma , P. B. Sujit

This paper studies a planar multiplayer Homicidal Chauffeur reach-avoid differential game, where each pursuer is a Dubins car and each evader has simple motion. The pursuers aim to protect a goal region cooperatively from the evaders. Due…

Computer Science and Game Theory · Computer Science 2021-07-13 Rui Yan , Ruiliang Deng , Haowen Lai , Weixian Zhang , Zongying Shi , Yisheng Zhong

In network interdiction problems, evaders (e.g., hostile agents or data packets) may be moving through a network towards targets and we wish to choose locations for sensors in order to intercept the evaders before they reach their…

Social and Information Networks · Computer Science 2011-08-04 Matthew P. Johnson , Alexander Gutfraind

This paper investigates a partial-information pursuit evasion game in which the Pursuer has a limited-range sensor to detect the Evader. Given a fixed final time, we derive the optimal evasion strategy for the Evader to maximize its…

Computer Science and Game Theory · Computer Science 2024-01-24 Dipankar Maity , Alexander Von Moll , Daigo Shishika , Michael Dorothy

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

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

A new surveillance-evasion differential game is posed and solved in which an agile pursuer (the prying pedestrian) seeks to remain within a given surveillance range of a less agile evader that aims to escape. In contrast to previous…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Philipp Braun , Timothy L. Molloy , Iman Shames

We consider a pursuit-evasion scenario involving a group of pursuers and a single evader in a two-dimensional unbounded environment. The pursuers aim to capture the evader in finite time while ensuring the evader remains enclosed within the…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Dinesh Patra , Prajakta Surve , Ashish R. Hota , Shaunak D. Bopardikar

This paper investigates a pursuit-evasion problem involving three agents: a pursuer, an evader, and a defender. Cooperative guidance laws are developed for the evader-defender team that guarantee interception of the pursuer by the defender…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha