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We study the formation control problem for a group of mobile agents in a plane, in which each agent is modeled as a kinematic point and can only use the local measurements in its local frame. The agents are required to maintain a geometric…

Optimization and Control · Mathematics 2019-09-13 Chen Wang , Shuai Li , Weiguo Xia , Jinan Sun , Guangming Xie

A metamorphic robotic system is an aggregate of homogeneous robot units which can individually and selectively locomote in such a way as to change the global shape of the system. We introduce a mathematical framework for defining and…

Robotics · Computer Science 2007-05-23 A. Abrams , R. Ghrist

We consider a team of $k$ identical, oblivious, asynchronous mobile robots that are able to sense (\emph{i.e.}, view) their environment, yet are unable to communicate, and evolve on a constrained path. Previous results in this weak scenario…

Data Structures and Algorithms · Computer Science 2009-09-30 Stéphane Devismes , Franck Petit , Sébastien Tixeuil

The safe control of multi-robot swarms is a challenging and active field of research, where common goals include maintaining group cohesion while simultaneously avoiding obstacles and inter-agent collision. Building off our previously…

Optimization and Control · Mathematics 2024-04-03 Brooks A. Butler , Chi Ho Leung , Philip E. Paré

This paper proposes a distributed algorithm which deterministically gathers n (n > 4) asynchronous, fat robots. The robots are assumed to be transparent and they have full visibility. The robots are initially considered to be stationary. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-20 Sruti Gan Chaudhuri , Krishnendu Mukhopadhyaya

The aim of the dispersion problem is to place a set of $k(\leq n)$ mobile robots in the nodes of an unknown graph consisting of $n$ nodes such that in the final configuration each node contains at most one robot, starting from any arbitrary…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-13 Tanvir Kaur , Kaushik Mondal

Two cooperating, autonomous mobile robots with arbitrary nonzero max speeds are placed at arbitrary initial positions in the plane. A remotely detonated bomb is discovered at some source location and must be moved to a safe distance away…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-12 Jared Coleman , Evangelos Kranakis , Danny Krizanc , Oscar Morales-Ponce

This paper is concerned with problems relevant to motion planning in robotics. Configuration spaces are of practical relevance in designing safe control schemes for robots moving on a track. The topological complexity of a configuration…

Algebraic Topology · Mathematics 2019-05-02 Allaoua Boughrira , Hellen Colman

We consider the configuration formation problem in modular robotic systems where a set of singleton modules that are spatially distributed in an environment are required to assume appropriate positions so that they can configure into a new,…

Robotics · Computer Science 2022-10-04 Ayan Dutta , Prithviraj Dasgupta

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

We give both efficient algorithms and hardness results for reconfiguring between two connected configurations of modules in the hexagonal grid. The reconfiguration moves that we consider are "pivots", where a hexagonal module rotates around…

This paper addresses the consistency issue of multi-robot distributed cooperative localization. We introduce a consistent distributed cooperative localization algorithm conducting state estimation in a transformed coordinate. The core idea…

Robotics · Computer Science 2024-10-23 Chungeng Tian , Ning Hao , Fenghua He , Haodi Yao

The problem of coordination without a priori information about the environment is important in robotics. Applications vary from formation control to search and rescue. This paper considers the problem of search by a group of solitary…

Robotics · Computer Science 2019-05-28 Jordan F. Masakuna , Simukai W. Utete , Steve Kroon

A novel multi-robot path planning approach is presented in this paper. Based on the standard Dijkstra, the algorithm looks for the optimal paths for a formation of robots, taking into account the possibility of split and merge. The…

Robotics · Computer Science 2019-01-23 Estefanía Pereyra , Gastón Araguás , Miroslav Kulich

We consider a system consisting of multiple mobile robots in which the user can at any time issue relocation tasks ordering one of the robots to move from its current location to a given destination location. In this paper, we deal with the…

Robotics · Computer Science 2015-02-02 Michal Čáp , Jiří Vokřínek , Alexander Kleiner

This paper studies the gathering problem for a set of $N \ge 2$ autonomous mobile robots operating in the Euclidean plane under the distributed Look-Compute-Move model. We consider oblivious robots executing under the adversarial defected…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-09 Prakhar Shukla , Seshunadh Tanuj Peddinti , Subhash Bhagat

An autonomous mobile robot system consisting of many mobile computational entities (called robots) attracts much attention of researchers, and to clarify the relation between the capabilities of robots and solvability of the problems is an…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-18 Yonghwan Kim , Masahiro Shibata , Yuichi Sudo , Junya Nakamura , Yoshiaki Katayama , Toshimitsu Masuzawa

The paper surveys topological problems relevant to the motion planning problem of robotics and includes some new results and constructions. First we analyse the notion of topological complexity of configuration spaces which is responsible…

Algebraic Topology · Mathematics 2017-01-10 Michael Farber

We consider the mobile robot dispersion problem in the presence of faulty robots (crash-fault). Mobile robot dispersion consists of $k\leq n$ robots in an $n$-node anonymous graph. The goal is to ensure that regardless of the initial…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-23 Prabhat Kumar Chand , Manish Kumar , Anisur Rahaman Molla , Sumathi Sivasubramaniam

Practical deployments of coordinated fleets of mobile robots in different environments have revealed the benefits of maintaining small distances between robots, especially as they move at higher speeds. However, this is counter-intuitive in…

Robotics · Computer Science 2023-01-20 Namya Bagree , Charles Noren , Damanpreet Singh , Matthew Travers , Bhaskar Vundurthy