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This paper presents a novel planning method that achieves navigation of multi-robot formations in cluttered environments, while maintaining the formation throughout the robots motion. The method utilises a decentralised approach to find…

Robotics · Computer Science 2023-07-17 Jeppe Heini Mikkelsen , Matteo Fumagalli

In this paper we introduce and study a new concept of parametrised topological complexity, a topological invariant motivated by the motion planning problem of robotics. In the parametrised setting, a motion planning algorithm has high…

Algebraic Topology · Mathematics 2021-09-10 Daniel C. Cohen , Michael Farber , Shmuel Weinberger

In this paper, we solve the local gathering problem of a swarm of $n$ indistinguishable, point-shaped robots on a two dimensional grid in asymptotically optimal time $\mathcal{O}(n)$ in the fully synchronous $\mathcal{FSYNC}$ time model.…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-11 Andreas Cord-Landwehr , Matthias Fischer , Daniel Jung , Friedhelm Meyer auf der Heide

Integrating Large Language Models (VLMs) and Vision-Language Models (VLMs) with robotic systems enables robots to process and understand complex natural language instructions and visual information. However, a fundamental challenge remains:…

Robotics · Computer Science 2024-03-18 Yuhang Hu , Yunzhe Wang , Ruibo Liu , Zhou Shen , Hod Lipson

We present a new version of our previously proposed algorithm enabling a swarm of robots to construct a desired shape from objects in the plane. We also describe a hardware realization for this system which makes use of simple and readily…

Robotics · Computer Science 2020-04-30 Andrew Vardy , Dalia S. Ibrahim

We consider the problem of exploring an anonymous unoriented ring of size $n$ by $k$ identical, oblivious, asynchronous mobile robots, that are unable to communicate, yet have the ability to sense their environment and take decisions based…

Data Structures and Algorithms · Computer Science 2015-05-14 Anissa Lamani , Maria Potop-Butucaru , Sébastien Tixeuil

Motivated by the challenging formation stabilization problem for mobile robotic teams when no distance or relative displacement measurements are available and each robot can only measure some of those angles formed by rays towards its…

Systems and Control · Electrical Eng. & Systems 2019-08-06 Liangming Chen , Ming Cao , Chuanjiang Li

The human visual system is able to recognize objects despite transformations that can drastically alter their appearance. To this end, much effort has been devoted to the invariance properties of recognition systems. Invariance can be…

Machine Learning · Computer Science 2014-12-08 Weiguang Ding , Graham W. Taylor

In the dispersion problem, a set of $k$ co-located mobile robots must relocate themselves in distinct nodes of an unknown network. The network is modeled as an anonymous graph $G=(V,E)$, where the nodes of the graph are not labeled. The…

Data Structures and Algorithms · Computer Science 2022-02-14 Barun Gorain , Partha Sarathi Mandal , Kaushik Mondal , Supantha Pandit

Robot planning in partially observable domains is difficult, because a robot needs to estimate the current state and plan actions at the same time. When the domain includes many objects, reasoning about the objects and their relationships…

Robotics · Computer Science 2022-02-22 Saeid Amiri , Kishan Chandan , Shiqi Zhang

In this paper, we consider the gathering problem of seven autonomous mobile robots on triangular grids. The gathering problem requires that, starting from any connected initial configuration where a subgraph induced by all robot nodes…

Robotics · Computer Science 2021-03-16 Masahiro Shibata , Masaki Ohyabu , Yuichi Sudo , Junya Nakamura , Yonghwan Kim , Yoshiaki Katayama

A number of coordinated behaviors have been proposed for achieving specific tasks for multi-robot systems. However, since most applications require more than one such behavior, one needs to be able to compose together sequences of behaviors…

Robotics · Computer Science 2020-03-04 Pietro Pierpaoli , Anqi Li , Mohit Srinivasan , Xiaoyi Cai , Samuel Coogan , Magnus Egerstedt

Despite the attention that the problem of path planning for tethered robots has garnered in the past few decades, the approaches proposed to solve it typically rely on a discrete representation of the configuration space and do not exploit…

Robotics · Computer Science 2025-12-09 Gianpietro Battocletti , Dimitris Boskos , Bart De Schutter

This paper studies the tracking control problem for nonholonomic mobile robots based on second order dynamics, with application to consensus tracking and formation tracking. The greatest novelty in this paper is that the reference…

Systems and Control · Electrical Eng. & Systems 2019-12-30 Xiaodong He , Zhiyong Geng

We show that macro-molecular self-assembly can recognize and classify high-dimensional patterns in the concentrations of $N$ distinct molecular species. Similar to associative neural networks, the recognition here leverages dynamical…

Disordered Systems and Neural Networks · Physics 2017-04-26 Weishun Zhong , David J. Schwab , Arvind Murugan

We present a number of breakthroughs for coordinated motion planning, in which the objective is to reconfigure a swarm of labeled convex objects by a combination of parallel, continuous, collision-free translations into a given target…

Computational Geometry · Computer Science 2018-01-08 Erik D. Demaine , Sándor P. Fekete , Phillip Keldenich , Henk Meijer , Christian Scheffer

Instabilities of robot motion are caused by topological reasons. In this paper we find a relation between the topological properties of a configuration space (the structure of its cohomology algebra) and the character of instabilities,…

Robotics · Computer Science 2007-05-23 Michael Farber

We consider an autonomous navigation robot that can accept human commands through natural language to provide services in an indoor environment. These natural language commands may include time, position, object, and action components.…

Robotics · Computer Science 2024-10-18 Kuan-Lin Chen , Tzu-Ti Wei , Li-Tzu Yeh , Elaine Kao , Yu-Chee Tseng , Jen-Jee Chen

Character animation in real-world scenarios necessitates a variety of constraints, such as trajectories, key-frames, interactions, etc. Existing methodologies typically treat single or a finite set of these constraint(s) as separate control…

Computer Vision and Pattern Recognition · Computer Science 2024-05-30 Hanchao Liu , Xiaohang Zhan , Shaoli Huang , Tai-Jiang Mu , Ying Shan

As robots perform manipulation tasks and interact with objects, it is probable that they accidentally drop objects (e.g., due to an inadequate grasp of an unfamiliar object) that subsequently bounce out of their visual fields. To enable…

Robotics · Computer Science 2021-10-05 Fanjun Bu , Chien-Ming Huang
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