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Balancing safety and efficiency when planning in crowded scenarios with uncertain dynamics is challenging where it is imperative to accomplish the robot's mission without incurring any safety violations. Typically, chance constraints are…

Robotics · Computer Science 2023-02-22 Khaled A. Mustafa , Oscar de Groot , Xinwei Wang , Jens Kober , Javier Alonso-Mora

Given a set R of robots, each one located at different vertices of an infinite regular tessellation graph, we aim to explore the Arbitrary Pattern Formation (APF) problem. Given a multiset F of grid vertices such that |R|=|F|, APF asks for…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-28 Serafino Cicerone , Alessia Di Fonso , Gabriele Di Stefano , Alfredo Navarra

Planning for multi-robot coverage seeks to determine collision-free paths for a fleet of robots, enabling them to collectively observe points of interest in an environment. Persistent coverage is a variant of traditional coverage where…

Path planning for robotic coverage is the task of determining a collision-free robot trajectory that observes all points of interest in an environment. Robots employed for such tasks are often capable of exercising active control over…

Robotics · Computer Science 2020-11-17 Tushar Kusnur , Dhruv Mauria Saxena , Maxim Likhachev

In this paper, we address the problem of autonomous multi-robot mapping, exploration and navigation in unknown, GPS-denied indoor or urban environments using a swarm of robots equipped with directional sensors with limited sensing…

Robotics · Computer Science 2021-03-08 Mohammad Saleh Teymouri , Subhrajit Bhattacharya

We study unlabeled multi-robot motion planning for unit-disk robots in a polygonal environment. Although the problem is hard in general, polynomial-time solutions exist under appropriate separation assumptions on start and target positions.…

Computational Geometry · Computer Science 2026-03-23 Tsuri Farhana , Omrit Filtser , Shalev Goldshtein

The Arbitrary Pattern Formation problem asks for a distributed algorithm that moves a set of autonomous mobile robots to form any arbitrary pattern given as input. The robots are assumed to be autonomous, anonymous and identical. They…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-08 Kaustav Bose , Manash Kumar Kundu , Ranendu Adhikary , Buddhadeb Sau

Consider a robot operating in an uncertain environment with stochastic, dynamic obstacles. Despite the clear benefits for trajectory optimization, it is often hard to keep track of each obstacle at every time step due to sensing and…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Michael Hibbard , Abraham P. Vinod , Jesse Quattrociocchi , Ufuk Topcu

Operating unmanned aerial vehicles (UAVs) in complex environments that feature dynamic obstacles and external disturbances poses significant challenges, primarily due to the inherent uncertainty in such scenarios. Additionally, inaccurate…

Robotics · Computer Science 2023-09-29 Tianyu Liu , Fu Zhang , Fei Gao , Jia Pan

Robot Coverage Path planning (i.e., provide full coverage of a given domain by one or multiple robots) is a classical problem in the field of robotics and motion planning. The goal is to provide nearly full coverage while also minimize…

Robotics · Computer Science 2017-01-27 Yu-Yao Lin , Chien-Chun Ni , Na Lei , Xianfeng David Gu , Jie Gao

Given a set of $n\geq 1$ autonomous, anonymous, indistinguishable, silent, and possibly disoriented mobile unit disk (i.e., fat) robots operating following Look-Compute-Move cycles in the Euclidean plane, we consider the Pattern Formation…

Computational Geometry · Computer Science 2025-03-20 Rusul J. Alsaedi , Joachim Gudmundsson , André van Renssen

We consider the problem of connected coordinated motion planning for a large collective of simple, identical robots: From a given start grid configuration of robots, we need to reach a desired target configuration via a sequence of…

Computational Geometry · Computer Science 2023-10-17 Sándor P. Fekete , Phillip Keldenich , Ramin Kosfeld , Christian Rieck , Christian Scheffer

This paper studies motion planning of a mobile robot under uncertainty. The control objective is to synthesize a {finite-memory} control policy, such that a high-level task specified as a Linear Temporal Logic (LTL) formula is satisfied…

Robotics · Computer Science 2017-10-24 Meng Guo , Michael M. Zavlanos

The motion planning problem is a fundamental problem in robotics, so that every autonomous robot should be able to deal with it. A number of solutions have been proposed and a probabilistic one seems to be quite reasonable. However, here we…

Robotics · Computer Science 2018-05-11 Kyriakos Papadopoulos , Apostolos Syropoulos

Task and motion planning (TAMP) for multi-robot systems, which integrates discrete task planning with continuous motion planning, remains a challenging problem in robotics. Existing TAMP approaches often struggle to scale effectively for…

Robotics · Computer Science 2025-04-30 Zhongqi Wei , Xusheng Luo , Changliu Liu

We study the geodesic complexity of the ordered and unordered configuration spaces of graphs in both the $\ell_1$ and $\ell_2$ metrics. We determine the geodesic complexity of the ordered two-point $\varepsilon$-configuration space of any…

Geometric Topology · Mathematics 2022-08-10 Donald M. Davis , Michael Harrison , David Recio-Mitter

Using mobile robots for autonomous patrolling of environments to prevent intrusions is a topic of increasing practical relevance. One of the most challenging scientific issues is the problem of finding effective patrolling strategies that,…

Computer Science and Game Theory · Computer Science 2009-12-18 Nicola Basilico , Nicola Gatti , Francesco Amigoni

In environments where multiple robots must coordinate in a shared space, decentralized approaches allow for decoupled planning at the cost of global guarantees, while centralized approaches make the opposite trade-off. These solutions make…

Robotics · Computer Science 2022-03-08 Claire Liang , Wil Thomason , E. Andy Ricci , Soham Sankaran

Randomized sampling based algorithms are widely used in robot motion planning due to the problem's intractability, and are experimentally effective on a wide range of problem instances. Most variants do not sample uniformly at random, and…

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