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Let $\mathcal{W} \subset \mathbb{R}^2$ be a planar polygonal environment (i.e., a polygon potentially with holes) with a total of $n$ vertices, and let $A,B$ be two robots, each modeled as an axis-aligned unit square, that can translate…

Robotics · Computer Science 2023-11-01 Pankaj K. Agarwal , Dan Halperin , Micha Sharir , Alex Steiger

In this paper, we address the shape formation problem for massive robot swarms in environments where external localization systems are unavailable. Achieving this task effectively with solely onboard measurements is still scarcely explored…

Robotics · Computer Science 2025-01-22 Jinhu Lü , Kunrui Ze , Shuoyu Yue , Kexin Liu , Wei Wang , Guibin Sun

This paper presents a distributed painting algorithm for painting a priori known rectangular region by swarm of autonomous mobile robots. We assume that the region is obstacle free and of rectangular in shape. The basic approach is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-21 Deepanwita Das , Srabani Mukhopadhyaya

Given a set of co-located mobile robots in an unknown anonymous graph, the robots must relocate themselves in distinct graph nodes to solve the dispersion problem. In this paper, we consider the dispersion problem for silent robots…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-13 Bibhuti Das , Barun Gorain , Kaushik Mondal , Krishnendu Mukhopadhyaya , Supantha Pandit

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

This paper develops an Optimal Safe Sequencing (OSS) control framework for Connected and Automated Vehicles (CAVs) navigating a single-lane roundabout in mixed traffic, where both CAVs and Human-Driven Vehicles (HDVs) coexist. The framework…

Systems and Control · Electrical Eng. & Systems 2025-03-26 Yingqing Chen , Christos G. Cassandras

Onboard simultaneous localization and mapping (SLAM) methods are commonly used to provide accurate localization information for autonomous robots. However, the coordinate origin of SLAM estimate often resets for each run. On the other hand,…

Robotics · Computer Science 2025-10-08 Tien-Dat Nguyen , Thien-Minh Nguyen , Vinh-Hao Nguyen

We deal with the problem of planning collision-free trajectories for robots operating in a shared space. Given the start and destination position for each of the robots, the task is to find trajectories for all robots that reach their…

Robotics · Computer Science 2016-08-10 Michal Čáp , Peter Novák , Alexander Kleiner

Safe autonomous navigation in unknown environments remains a critical challenge for robots with limited sensing capabilities. While safety-critical control techniques, such as Control Barrier Functions (CBFs), have been proposed to ensure…

Robotics · Computer Science 2025-03-19 Taekyung Kim , Dimitra Panagou

We consider the problem of scattering $n$ robots in a two dimensional continuous space. As this problem is impossible to solve in a deterministic manner, all solutions must be probabilistic. We investigate the amount of randomness (that is,…

Data Structures and Algorithms · Computer Science 2015-02-25 Quentin Bramas , Sébastien Tixeuil

Cooperative driving at signal-free intersections, which aims to improve driving safety and efficiency for connected and automated vehicles, has attracted increasing interest in recent years. However, existing cooperative driving strategies…

Systems and Control · Electrical Eng. & Systems 2021-04-29 Huaxin Pei , Yuxiao Zhang , Yi Zhang , Shuo Feng

Polygonal collision avoidance (PCA) is short for the problem of collision avoidance between two polygons (i.e., polytopes in planar) that own their dynamic equations. This problem suffers the inherent difficulty in dealing with non-smooth…

Optimization and Control · Mathematics 2025-05-14 Shizhen Wu , Yongchun Fang , Ning Sun , Biao Lu , Xiao Liang , Yiming Zhao

We present new randomized algorithms that improve the complexity of the classic $(\Delta+1)$-coloring problem, and its generalization $(\Delta+1)$-list-coloring, in three well-studied models of distributed, parallel, and centralized…

Data Structures and Algorithms · Computer Science 2018-11-06 Yi-Jun Chang , Manuela Fischer , Mohsen Ghaffari , Jara Uitto , Yufan Zheng

The $k$-Strong Conflict-Free ($k$-SCF, in short) colouring problem seeks to find a colouring of the vertices of a hypergraph $H$ using minimum number of colours so that in every hyperedge $e$ of $H$, there are at least $\min\{|e|,k\}$…

Combinatorics · Mathematics 2021-06-08 S. M. Dhannya , N. S. Narayanaswamy

We present a dual-barrier control barrier function (CBF) safety filter for real-time, safety-critical velocity control of holonomic robots operating in incrementally built occupancy grid maps. As a robot explores an unknown environment,…

This work addresses the coordination problem of multiple robots with the goal of finding specific hazardous targets in an unknown area and dealing with them cooperatively. The desired behaviour for the robotic system entails multiple…

Robotics · Computer Science 2019-03-29 Nunzia Palmieri , Xin-She Yang , Floriano De Rango , Amilcare Francesco Santamaria

This paper addresses the challenges of exploration and navigation in unknown environments from the perspective of evolutionary swarm robotics. A key focus is on path formation, which is essential for enabling cooperative swarm robots to…

The study of approximate matching in the Massively Parallel Computations (MPC) model has recently seen a burst of breakthroughs. Despite this progress, however, we still have a far more limited understanding of maximal matching which is one…

Data Structures and Algorithms · Computer Science 2023-10-17 Soheil Behnezhad , MohammadTaghi Hajiaghayi , David G. Harris

For the task of moving a set of indistinguishable agents on a connected graph with unit edge distance to an arbitrary set of goal vertices, free of collisions, we propose a fast distance optimal control algorithm that guides the agents into…

Systems and Control · Computer Science 2015-03-20 Jingjin Yu , Steven M. LaValle

We study various versions of the problem of scheduling platoons of autonomous vehicles through an unregulated intersection, where an algorithm must schedule which platoons should wait so that others can go through, so as to minimize the…

Data Structures and Algorithms · Computer Science 2016-09-16 Juan José Besa Vial , William E. Devanny , David Eppstein , Michael T. Goodrich
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