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We consider a class of pursuit-evasion problems where an evader enters a directed acyclic graph and attempts to reach one of the terminal nodes. A pursuer enters the graph at a later time and attempts to capture the evader before it reaches…

Combinatorics · Mathematics 2016-09-14 Shreyas Sundaram , Krishnamoorthy Kalyanam , David W. Casbeer

This work deals with a moving target chasing mission of an aerial vehicle equipped with a vision sensor in a cluttered environment. In contrast to obstacle-free or sparse environments, the chaser should be able to handle collision and…

Robotics · Computer Science 2019-04-09 Boseong Felipe Jeon , H. Jin Kim

We discuss multi-task online learning when a decision maker has to deal simultaneously with M tasks. The tasks are related, which is modeled by imposing that the M-tuple of actions taken by the decision maker needs to satisfy certain…

Machine Learning · Statistics 2009-03-27 Gabor Lugosi , Omiros Papaspiliopoulos , Gilles Stoltz

This paper solves the problem of herding countless evaders by means of a few robots. The objective is to steer all the evaders towards a desired tracking reference while avoiding escapes. The problem is very challenging due to the highly…

Systems and Control · Electrical Eng. & Systems 2022-09-21 Eduardo Sebastian , Eduardo Montijano , Carlos Sagues

In the standard setting of approachability there are two players and a target set. The players play repeatedly a known vector-valued game where the first player wants to have the average vector-valued payoff converge to the target set which…

Machine Learning · Statistics 2016-06-20 Shie Mannor , Vianney Perchet , Gilles Stoltz

Assume that inside an initial planar area there are smart mobile evaders attempting to avoid detection by a team of sweeping searching agents. All sweepers detect evaders with fan-shaped sensors, modeling the field of view of real cameras.…

Multiagent Systems · Computer Science 2023-05-02 Roee M. Francos , Alfred M. Bruckstein

In this paper, we propose an approach for solving an energy-optimal goal assignment problem to generate the desired formation in multi-agent systems. Each agent solves a decentralized optimization problem with only local information about…

Multiagent Systems · Computer Science 2022-05-19 Heeseung Bang , Logan Beaver , Andreas A. Malikopoulos

This paper investigates the problem of computing a two-dimensional optimal curvature straight line (CS) shortest path for an unmanned aerial vehicle (UAV) to intercept a moving target, with both the UAV (pursuer) and target travelling at…

Optimization and Control · Mathematics 2025-07-03 Masuda Akter , Mohammed Mustafa Rizvi

We consider a pursuit-evasion game [11] played between two agents, 'Blue' (the pursuer) and 'Red' (the evader), over $T$ time steps. Red aims to attack Blue's territory. Blue's objective is to intercept Red by time $T$ and thereby limit the…

Machine Learning · Computer Science 2020-10-15 Shiva Navabi , Osonde A. Osoba

In this paper, an optimal control problem is considered where a target vehicle aims to reach a desired location in minimum time while avoiding a dynamic engagement zone. Using simple motion, four potential approaches are considered. First,…

Optimization and Control · Mathematics 2021-11-18 Isaac E. Weintraub , Alexander Von Moll , Christian Carrizales , Nicholas Hanlon , Zachariah Fuchs

This paper presents a novel control strategy to herd a group of non-cooperative evaders by means of a team of robotic herders. In herding problems, the motion of the evaders is typically determined by strong nonlinear reactive dynamics,…

Systems and Control · Electrical Eng. & Systems 2022-06-14 Eduardo Sebastián , Eduardo Montijano

In this paper, a time-optimal feedback solution to the game of two cars, for the case where the pursuer is faster and more agile than the evader, is presented. The concept of continuous subsets of the reachable set is introduced to…

Systems and Control · Electrical Eng. & Systems 2021-06-01 Aditya Chaudhari , Debraj Chakraborty

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

The evader's dominance region is an important concept and the foundation of geometric methods for pursuit-evasion games. This article mainly reveals the relevant properties of the evader's dominance region, especially in non-anticipative…

Optimization and Control · Mathematics 2025-02-06 Weiwen Huang , Li Liang , Ningsheng Xu , Fang Deng

In this paper we propose a technique that assigns obstacles to clusters used for collision avoidance via Mixed-Integer Programming. This strategy enables a reduction in the number of binary variables used for collision avoidance, thus…

Systems and Control · Electrical Eng. & Systems 2020-09-17 Vinicius Antonio Battagello , Nei Yoshihiro Soma , Rubens Junqueira Magalhaes Afonso

We investigate a variation of the art gallery problem in which a team of mobile guards tries to track an unpredictable intruder in a simply-connected polygonal environment. In this work, we use the deployment strategy for diagonal guards…

Robotics · Computer Science 2016-11-16 Guillermo J. Laguna , Rui Zou , Sourabh Bhattacharya

We consider the following distributed pursuit-evasion problem. A team of mobile agents called searchers starts at an arbitrary node of an unknown $n$-node network. Their goal is to execute a search strategy that guarantees capturing a fast…

Discrete Mathematics · Computer Science 2021-01-19 Dariusz Dereniowski , Dorota Urbańska

This paper investigates the pursuit-evasion problem of a defensive gun turret and one or more attacking drones. The turret must ``visit" each attacking drone once, as quickly as possible, to defeat the threat. This constitutes a Shortest…

Robotics · Computer Science 2021-07-28 Daniel Biediger , Luben Popov , Aaron T. Becker

Visual object tracking is the problem of predicting a target object's state in a video. Generally, bounding-boxes have been used to represent states, and a surge of effort has been spent by the community to produce efficient causal…

Computer Vision and Pattern Recognition · Computer Science 2021-02-02 Matteo Dunnhofer , Niki Martinel , Christian Micheloni

Achieving persistent tracking of multiple dynamic targets over a large spatial area poses significant challenges for a single-robot system with constrained sensing capabilities. As the robot moves to track different targets, the ones…

Robotics · Computer Science 2025-10-22 Junbin Yuan , Brady Moon , Muqing Cao , Sebastian Scherer
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