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The classic Homicidal Chauffeur game is a pursuit-evasion game played in an unbounded planar environment between a pursuer constrained to move with fixed speed on curves with bounded curvature, and a slower evader with fixed speed but with…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Shreesh Mahapatra , Bhargav Jha , Michael R. Dorothy , Shaunak D. Bopardikar

In this paper, we establish a zero-sum, hybrid state stochastic game model for designing defense policies for cyber-physical systems against different types of attacks. With the increasingly integrated properties of cyber-physical systems…

Computer Science and Game Theory · Computer Science 2017-10-03 Fei Miao , Quanyan Zhu , Miroslav Pajic , George J. Pappas

A fundamental task in mobile robotics is keeping an intelligent agent under surveillance with an autonomous robot as it travels in the environment. This work studies a theoretical version of that problem involving one of the most popular…

Robotics · Computer Science 2025-01-09 Ubaldo Ruiz

This paper explores a multi-agent containment problem, where a fast evader, modeled having constant speed and using constant heading, attempts to escape a circular containment region that is orbited by a slower pursuer with a nonzero…

Optimization and Control · Mathematics 2023-10-03 Braulio Mora , Alexander Von Moll , Isaac Weintraub , David Casbeer , Animesh Chakravarthy

This paper considers the blocking or football pursuit-evasion differential game. Two pursuers cooperate and try to capture the ball carrying evader as far as possible from the goal line. The evader wishes to be as close as possible to the…

Optimization and Control · Mathematics 2020-06-09 Eloy Garcia , David W. Casbeer , Meir Pachter

This letter presents a density function based safe control synthesis framework for the pursuit-evasion problem. We extend safety analysis to dynamic unsafe sets by formulating a reach-avoid type pursuit-evasion differential game as a robust…

Optimization and Control · Mathematics 2025-05-22 Mustafa Bozdag , Arya Honarpisheh , Mario Sznaier

In this paper, we consider the problem of controlling an underactuated system in unknown, and potentially adversarial environments. The emphasis will be on autonomous aerial vehicles, modelled by Dubins dynamics. The proposed control law is…

Multiagent Systems · Computer Science 2019-09-04 Shashwat Shivam , Aris Kanellopoulos , Kyriakos G. Vamvoudakis , Yorai Wardi

Surveillance-Evasion (SE) games form an important class of adversarial trajectory-planning problems. We consider time-dependent SE games, in which an Evader is trying to reach its target while minimizing the cumulative exposure to a moving…

Optimization and Control · Mathematics 2019-09-09 Elliot Cartee , Lexiao Lai , Qianli Song , Alexander Vladimirsky

The value of cooperation in pursuit-evasion games is investigated. The considered setting is that of three pursuers chasing one evader in a planar environment. The optimal evader trajectory for a well-known decentralized pursuer strategy is…

Optimization and Control · Mathematics 2020-01-27 Marco Casini , Andrea Garulli

Shmuel Gal and Jerome Casas have recently introduced a game theoretic model that combines search and pursuit by a predator for a prey animal. The prey (hider) can hide in a finite number of locations. The predator (searcher) can inspect any…

Computer Science and Game Theory · Computer Science 2019-12-10 Steve Alpern , Viciano Lee

Given a two-dimensional polygonal space, the multi-robot visibility-based pursuit-evasion problem tasks several pursuer robots with the goal of establishing visibility with an arbitrarily fast evader. The best known complete algorithm for…

Robotics · Computer Science 2021-04-12 Trevor Olsen , Anne M. Tumlin , Nicholas M. Stiffler , Jason M. O'Kane

In the last years, a growing number of challenging applications in navigation, logistics, and tourism were modeled as orienteering problems. This problem has been proposed in relation to a sport race where certain control points must be…

Optimization and Control · Mathematics 2022-01-04 Fabio Bagagiolo , Adriano Festa , Luciano Marzufero

This paper addresses a critical aerial defense challenge in contested airspace, involving three autonomous aerial vehicles -- a hostile drone (the pursuer), a high-value drone (the evader), and a protective drone (the defender). We present…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Shivam Bajpai , Abhinav Sinha , Shashi Ranjan Kumar

We consider a game played between a hider, who hides a static object in one of several possible positions in a bounded planar region, and a searcher, who wishes to reach the object by querying sensors placed in the plane. The searcher is a…

Computer Science and Game Theory · Computer Science 2015-03-19 Alessandro Borri , Shaunak D. Bopardikar , Joao P. Hespanha , Maria D. Di Benedetto

This paper studies a novel encirclement guaranteed cooperative pursuit problem involving $N$ pursuers and a single evader in an unbounded two-dimensional game domain. Throughout the game, the pursuers are required to maintain encirclement…

Multiagent Systems · Computer Science 2024-04-08 Chen Wang , Hua Chen , Jia Pan , Wei Zhang

In this article an $n$-pursuer versus $m$-evader reach-avoid differential game in 3D space is studied. A team of evaders aim to reach a stationary target while avoiding capture by a team of pursuers. The multiplayer scenario is formulated…

Optimization and Control · Mathematics 2024-02-06 Abinash Agasti , Puduru Viswanadha Reddy , Bharath Bhikkaji

We consider a reach-avoid differential game, in which one of the players aims to steer the system into a target set without violating a set of state constraints, while the other player tries to prevent the first from succeeding; the system…

Optimization and Control · Mathematics 2014-10-30 Jaime F. Fisac , Mo Chen , Claire J. Tomlin , S. Shankar Sastry

This paper investigates the application of game-theoretic principles combined with advanced Kalman filtering techniques to enhance maritime target tracking systems. Specifically, the paper presents a two-player, imperfect information,…

Computer Science and Game Theory · Computer Science 2024-10-18 Daniel Leal , Ngoc Hung Nguyen , Alex Skvortsov , Sanjeev Arulampalam , Mahendra Piraveenan

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

This paper considers a hybrid pollution-control differential game with two farsighted players and one myopic player. Both the seasonal regime shifts in the state dynamics and the players' heterogeneous preferences are introduced into the…

Optimization and Control · Mathematics 2025-04-17 Yilun Wu , Anna Tur , Peichen Ye