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Related papers: Plane Formation by Synchronous Mobile Robots witho…

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Anonymous mobile robots are often classified into synchronous, semi-synchronous and asynchronous robots when discussing the pattern formation problem. For semi-synchronous robots, all patterns formable with memory are also formable without…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-11-08 Taisuke Izumi , Samia Souissi , Yoshiaki Katayama , Nobuhiro Inuzuka , Xavier Défago , Koichi Wada , Masafumi Yamashita

The pattern formation task is commonly seen in a multi-robot system. In this paper, we study the problem of forming complex shapes with functionally limited mobile robots, which have to rely on other robots to precisely locate themselves.…

Robotics · Computer Science 2025-04-18 Shuqing Liu , Rong Su , Karl H. Johansson

We study an elementary problem of the topological robotics: collective motion of a set of $n$ distinct particles which one has to move from an initial configuration to a final configuration, with the requirement that no collisions occur in…

Algebraic Topology · Mathematics 2007-05-23 Michael Farber , Sergey Yuzvinsky

Given any multiset F of points in the Euclidean plane and a set R of robots such that |R|=|F|, the Arbitrary Pattern Formation (APF) problem asks for a distributed algorithm that moves robots so as to reach a configuration similar to F.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-07 Serafino Cicerone , Gabriele Di Stefano , Alfredo Navarra

Consider the problem of planning collision-free motion of $n$ objects in the plane movable through contact with a robot that can autonomously translate in the plane and that can move a maximum of $m \leq n$ objects simultaneously. This…

Robotics · Computer Science 2018-11-09 Marilena Vendittelli , Jean-Paul Laumond , Bud Mishra

Consider a group of autonomous mobile computational entities called robots. The robots move in the Euclidean plane and operate according to synchronous $Look$-$Compute$-$Move$ cycles. The computational capabilities of the robots under the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-04 Archak Das , Satakshi Ghosh , Avisek Sharma , Pritam Goswami , Buddhadeb Sau

Floating-base multi-link robots can change their shape during flight, making them well-suited for applications in confined environments such as autonomous inspection and search and rescue. However, trajectory planning for such systems…

Robotics · Computer Science 2026-04-07 Yicheng Chen , Jinjie Li , Haokun Liu , Zicheng Luo , Kotaro Kaneko , Moju Zhao

This paper studies the problem of controlling a multi-robot system to achieve a polygon formation in a self-organized manner. Different from the typical formation control strategies where robots are steered to satisfy the predefined control…

Robotics · Computer Science 2023-04-04 Qingkai Yang , Fan Xiao , Jingshuo Lyu , Bo Zhou , Hao Fang

Arbitrary Pattern Formation (APF) is a fundamental coordination problem in swarm robotics. It requires a set of autonomous robots (mobile computing units) to form an arbitrary pattern (given as input) starting from any initial pattern. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-28 Avisek Sharma , Satakshi Ghosh , Pritam Goswami , Buddhadeb Sau

In this letter, we investigate the formation control problem of mobile robots moving in the plane where, instead of assuming robots to be simple points, each robot is assumed to have the form of a disk with equal radius. Based on interior…

Systems and Control · Electrical Eng. & Systems 2020-06-09 Nelson P. K. Chan , Bayu Jayawardhana , Hector Garcia de Marina

In this paper we study the Near-Gathering problem for a finite set of dimensionless, deterministic, asynchronous, anonymous, oblivious and autonomous mobile robots with limited visibility moving in the Euclidean plane in Look-Compute-Move…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-28 Linda Pagli , Giuseppe Prencipe , Giovanni Viglietta

Path planning for multiple robots is well studied in the AI and robotics communities. For a given discretized environment, robots need to find collision-free paths to a set of specified goal locations. Robots can be fully anonymous,…

Artificial Intelligence · Computer Science 2017-04-26 Wolfgang Hönig , T. K. Satish Kumar , Liron Cohen , Hang Ma , Sven Koenig , Nora Ayanian

In the formation control problem for autonomous robots a distributed control law steers the robots to the desired target formation. A local stability result of the target formation can be derived by methods of linearization and center…

Optimization and Control · Mathematics 2010-01-26 Florian Dorfler , Bruce Francis

We study the problem of motion-planning for free-flying multi-link robots and develop a sampling-based algorithm that is specifically tailored for the task. Our work is based on the simple observation that the set of configurations for…

Robotics · Computer Science 2015-11-26 Oren Salzman , Kiril Solovey , Dan Halperin

An autonomous mobile robot system is a distributed system consisting of mobile computational entities (called robots) that autonomously and repeatedly perform three operations: Look, Compute, and Move. Various problems related to autonomous…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-16 Yonghwan Kim , Yoshiaki Katayama , Koichi Wada

Pattern formation is one of the most fundamental problems in distributed computing, which has recently received much attention. In this paper, we initiate the study of distributed pattern formation in situations when some robots can be…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-28 Debasish Pattanayak , Klaus-Tycho Foerster , Partha Sarathi Mandal , Stefan Schmid

Different from most of the formation strategies where robots require unique labels to identify topological neighbors to satisfy the predefined shape constraints, we here study the problem of identity-less distributed shape formation in…

Robotics · Computer Science 2025-04-09 Guibin Sun , Yang Xu , Kexin Liu , Jinhu Lü

We study a generalized motion planning problem involving multiple autonomous robots navigating in a $d$-dimensional Euclidean space in the presence of a set of obstacles whose positions are unknown a priori. Each robot is required to visit…

Algebraic Topology · Mathematics 2025-10-13 Gopal Chandra Dutta , Amit Kumar Paul , Subhankar Sau

Parametrized motion planning algorithms have high degrees of universality and flexibility, as they are designed to work under a variety of external conditions, which are viewed as parameters and form part of the input of the underlying…

Algebraic Topology · Mathematics 2021-10-15 Daniel C. Cohen , Michael Farber , Shmuel Weinberger

Among fundamental problems in the context of distributed computing by autonomous mobile entities, one of the most representative and well studied is {\sc Point Convergence}: given an arbitrary initial configuration of identical entities,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-28 David Kirkpatrick , Irina Kostitsyna , Alfredo Navarra , Giuseppe Prencipe , Nicola Santoro