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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

The problem is area-restricted search for targets using an autonomous mobile sensing platform. Detection is imperfect: the probability of detection depends on the range to the target, while the probability of false detections is non-zero.…

Information Theory · Computer Science 2019-11-12 Branko Ristic , Alex Skvortsov

We consider an autonomous navigation problem, whereby a traveler aims at traversing an environment in which an adversary tries to set an ambush. A two players zero sum game is introduced. Players' strategies are computed as random path…

Robotics · Computer Science 2016-12-08 Emmanuel Boidot , Aude Marzuoli , Eric Feron

Trajectory optimization of sensing robots to actively gather information of targets has received much attention in the past. It is well-known that under the assumption of linear Gaussian target dynamics and sensor models the stochastic…

Robotics · Computer Science 2021-09-21 Jennifer Wakulicz , He Kong , Salah Sukkarieh

Approximate nearest-neighbor search is a fundamental algorithmic problem that continues to inspire study due its essential role in numerous contexts. In contrast to most prior work, which has focused on point sets, we consider…

Computational Geometry · Computer Science 2021-04-01 Ahmed Abdelkader , David M. Mount

This paper presents a novel guidance law for target tracking applications where the target motion model is unknown and sensor measurements are intermittent due to unknown environmental conditions and low measurement update rate. In this…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Andres Pulido , Kyle Volle , Kristy Waters , Zachary I. Bell , Prashant Ganesh , Jane Shin

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

We study a distributed coordination mechanism for uniform agents located on a circle. The agents perform their actions in synchronised rounds. At the beginning of each round an agent chooses the direction of its movement from clockwise,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-28 Leszek Gasieniec , Tomasz Jurdzinski , Russell Martin , Grzegorz Stachowiak

In a pursuit evasion game on a finite, simple, undirected, and connected graph $G$, a first player visits vertices $m_1,m_2,\ldots$ of $G$, where $m_{i+1}$ is in the closed neighborhood of $m_i$ for every $i$, and a second player probes…

Combinatorics · Mathematics 2018-01-09 Dennis Dayanikli , Dieter Rautenbach

In this work, we extend the convex bodies chasing problem (CBC) to an adversarial setting, where an agent (the Player) is tasked with chasing a sequence of convex bodies generated adversarially by another agent (the Opponent). The Player…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Yue Guan , Longxu Pan , Daigo Shishika , Panagiotis Tsiotras

We study the classic problem of searching for a hidden target in the line and the $m$-ray star, in a setting in which the searcher has some prediction on the hider's position. We first focus on the main metric for comparing search…

Data Structures and Algorithms · Computer Science 2024-01-01 Spyros Angelopoulos

We consider three related problems of robot movement in arbitrary dimensions: coverage, search, and navigation. For each problem, a spherical robot is asked to accomplish a motion-related task in an unknown environment whose geometry is…

Computational Geometry · Computer Science 2011-10-13 Joshua Brown Kramer , Lucas Sabalka

In this paper, we investigate the problem of joint searching and tracking of multiple mobile targets by a group of mobile agents. The targets appear and disappear at random times inside a surveillance region and their positions are random…

Systems and Control · Electrical Eng. & Systems 2023-02-06 Savvas Papaioannou , Panayiotis Kolios , Theocharis Theocharides , Christos G. Panayiotou , Marios M. Polycarpou

We consider the problem where an agent wants to find a hidden object that is randomly located in some vertex of a directed acyclic graph (DAG) according to a fixed but possibly unknown distribution. The agent can only examine vertices whose…

Machine Learning · Statistics 2019-04-23 Pierre Perrault , Vianney Perchet , Michal Valko

We consider the speed planning problem for a robotic manipulator. In particular, we present an algorithm for finding the time-optimal speed law along an assigned path that satisfies velocity and acceleration constraints and respects the…

Robotics · Computer Science 2018-10-04 Luca Consolini , Marco Locatelli , Andrea Minari , Akos Nagy , Istvan Vajk

We study a pursuit-evasion problem which can be viewed as an extension of the keep-away game. In the game, pursuer(s) will attempt to intersect or catch the evader, while the evader can visit a fixed set of locations, which we denote as the…

Robotics · Computer Science 2022-06-17 Weifu Wang , Ping Li

In a rendezvous task, some mobile agents dispersed in a network have to gather at an arbitrary common site. We consider the rendezvous problem on the infinite labeled line, with $2$ agents, without communication, and a synchronous notion of…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Yann Bourreau , Ananth Narayanan , Alexandre Nolin

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

We consider a three-dimensional problem of steering a nonholonomic vehicle to seek an unknown source of a spatially distributed signal field without any position measurement. In the literature, there exists an extremum seeking-based…

Robotics · Computer Science 2016-11-09 Jinbiao Lin , Shiji Song , Keyou You , Cheng Wu

Friedman and Linial introduced the convex body chasing problem to explore the interplay between geometry and competitive ratio in metrical task systems. In convex body chasing, at each time step $t \in \mathbb{N}$, the online algorithm…

Data Structures and Algorithms · Computer Science 2018-11-16 C. J. Argue , Sébastien Bubeck , Michael B. Cohen , Anupam Gupta , Yin Tat Lee