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Here we present a decomposition technique for a class of differential games. The technique consists in a decomposition of the target set which produces, for geometrical reasons, a decomposition in the dimensionality of the problem. Using…

Optimization and Control · Mathematics 2013-03-14 Adriano Festa , Richard B. Vinter

We address a problem of area protection in graph-based scenarios with multiple agents. The problem consists of two adversarial teams of agents that move in an undirected graph shared by both teams. Agents are placed in vertices of the…

Artificial Intelligence · Computer Science 2017-08-25 Marika Ivanová , Pavel Surynek

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 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 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

We study a pursuit-evasion differential game with finite number of pursuers and one evader in Hilbert space with geometric constraints on the control functions of players. We solve the game by presenting explicit strategies for pursuers…

Optimization and Control · Mathematics 2015-06-03 Mehdi Salimi , Massimiliano Ferrara

In this paper, we present an approach for solving the problem of moving $N$ homogeneous agents into $M \geq N$ goal locations along energy-minimizing trajectories. We propose a decentralized framework that only requires knowledge of the…

Optimization and Control · Mathematics 2020-07-16 Logan E. Beaver , Andreas A. Malikopoulos

Recent advances in robotics have enabled the widespread deployment of autonomous robotic systems in complex operational environments, presenting both unprecedented opportunities and significant security problems. Traditional shepherding…

Robotics · Computer Science 2025-09-11 Wenqing Wang , Ye Zhang , Haoyu Li , Jingyu Wang

In a pursuit-evasion game, a team of pursuers attempt to capture an evader. The players alternate turns, move with equal speed, and have full information about the state of the game. We consider the most restictive capture condition: a…

Metric Geometry · Mathematics 2015-05-05 Andrew Beveridge , Yiqing Cai

We propose a method for analyzing the distributed random coordinate descent algorithm for solving separable resource allocation problems in the context of an open multiagent system, where agents can be replaced during the process. In…

Multiagent Systems · Computer Science 2023-09-21 Charles Monnoyer de Galland , Renato Vizuete , Julien M. Hendrickx , Elena Panteley , Paolo Frasca

We consider a pursuit-evasion differential game with a Hybrid system of dynamics in Hilbert space with integral constraints on the control functions of players. We show that the pursuer has a winning strategy.

Optimization and Control · Mathematics 2020-07-17 Mehdi Salimi

The pursuit-evasion problem is widespread in nature, engineering, and societal applications. It is commonly observed in nature that predators often exhibit faster speeds than their prey but have less agile maneuverability. Over millions of…

Systems and Control · Electrical Eng. & Systems 2025-02-10 Panpan Zhou , Sirui Li , Benyun Zhao , Bo Wahlberg , Xiaoming Hu

In this work we introduce and study a pursuit-evasion game in which the search is performed by heterogeneous entities. We incorporate heterogeneity into the classical edge search problem by considering edge-labeled graphs: once a search…

Discrete Mathematics · Computer Science 2024-01-26 Dariusz Dereniowski , Łukasz Kuszner , Robert Ostrowski

This paper presents a novel control strategy to herd groups of non-cooperative evaders by means of a team of robotic herders. In herding problems, the motion of the evaders is typically determined by strongly nonlinear and heterogeneous…

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

For a team of heterogeneous robots executing multiple tasks, we propose a novel algorithm to optimally allocate tasks to robots while accounting for their different capabilities. Motivated by the need that robot teams have in many…

Robotics · Computer Science 2019-09-04 Gennaro Notomista , Siddharth Mayya , Seth Hutchinson , Magnus Egerstedt

In this paper, we consider the problem of path finding for a set of homogeneous and autonomous agents navigating a previously unknown stochastic environment. In our problem setting, each agent attempts to maximize a given utility function…

Multiagent Systems · Computer Science 2022-12-06 Sheryl Paul , Jyotirmoy V. Deshmukh

We consider the general problem of geometric task allocation, wherein a large, decentralised swarm of simple mobile agents must detect the locations of tasks in the plane and position themselves nearby. The tasks are represented by an a…

Multiagent Systems · Computer Science 2022-10-17 Michael Amir , Yigal Koifman , Yakov Bloch , Ariel Barel , Alfred M. Bruckstein

The multi-agent patrol problem refers to repeatedly visiting different locations in an environment using multiple autonomous agents. For over two decades, researchers have studied this problem in various settings. While providing valuable…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Deepak Mallya , Arpita Sinha , Leena Vachhani

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 tackles a multi-agent bandit setting where $M$ agents cooperate together to solve the same instance of a $K$-armed stochastic bandit problem. The agents are \textit{heterogeneous}: each agent has limited access to a local subset…

Machine Learning · Computer Science 2022-02-18 Lin Yang , Yu-zhen Janice Chen , Mohammad Hajiesmaili , John CS Lui , Don Towsley