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We present a unified formal framework for expressing mobile robots models, protocols, and proofs, and devise a protocol design/proof methodology dedicated to mobile robots that takes advantage of this formal framework. As a case study, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-29 Pierre Courtieu , Lionel Rieg , Sébastien Tixeuil , Xavier Urbain

This research endeavors to design the perching maneuver and control in ornithopter robots. By analyzing the dynamic interplay between the robot's flight dynamics, feedback loops, and the environmental constraints, we aim to advance our…

Systems and Control · Electrical Eng. & Systems 2026-01-26 C. Ruiz , J. Á. Acosta

Communication constraints can significantly impact robots' ability to share information, coordinate their movements, and synchronize their actions, thus limiting coordination in Multi-Robot Exploration (MRE) applications. In this work, we…

Robotics · Computer Science 2024-07-24 Alysson Ribeiro da Silva , Luiz Chaimowicz , Thales Costa Silva , Ani Hsieh

In this note we reprove the Lipschitz stability for the inverse problem for the Schr\"odinger operator with finite-dimensional potentials by using quantitative Runge approximation results. This provides a quantification of the Schr\"odinger…

Analysis of PDEs · Mathematics 2020-02-24 Angkana Rüland , Eva Sincich

Continual learning in robotics seeks systems that can constantly adapt to changing environments and tasks, mirroring human adaptability. A key challenge is refining dynamics models, essential for planning and control, while addressing…

Robotics · Computer Science 2025-09-09 Alejandro Murillo-Gonzalez , Lantao Liu

Suppose we are sending out $k$ robots from $0$ to search the real line at constant speed (with turns) to find a target at an unknown location; $f$ of the robots are faulty, meaning that they fail to report the target although visiting its…

Robotics · Computer Science 2018-05-22 Andrey Kupavskii , Emo Welzl

In part I we considered the problem of convergence to a saddle point of a concave-convex function via gradient dynamics and an exact characterization was given to their asymptotic behaviour. In part II we consider a general class of…

Optimization and Control · Mathematics 2019-08-06 Thomas Holding , Ioannis Lestas

We study a fundamental cooperative message-delivery problem on the plane. Assume $n$ robots which can move in any direction, are placed arbitrarily on the plane. Robots each have their own maximum speed and can communicate with each other…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-28 Jared Coleman , Evangelos Kranakis , Danny Krizanc , Oscar Morales-Ponce

This work addresses the gathering problem for a set of autonomous, anonymous, and homogeneous robots with limited visibility operating in a continuous circle. The robots are initially placed at distinct positions, forming a rotationally…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-05 Avisek Sharma , Satakshi Ghosh , Buddhadeb Sau

In human-robot interactions, human and robot agents maintain internal mental models of their environment, their shared task, and each other. The accuracy of these representations depends on each agent's ability to perform theory of mind,…

We study the performance of asymptotic and approximate consensus algorithms under harsh environmental conditions. The asymptotic consensus problem requires a set of agents to repeatedly set their outputs such that the outputs converge to a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-28 Matthias Függer , Thomas Nowak , Manfred Schwarz

This paper presents a deterministic algorithm for forming a given asymmetric pattern in finite time by a set of autonomous, homogeneous, oblivious mobile robots under the CORDA model. The robots are represented as points on the 2D plane.…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-12 Sruti Gan Chaudhuri , Swapnil Ghike , Shrainik Jain , Krishnendu Mukhopadhyaya

Underwater robotics addresses the problem of object detection apparatus. Offers a probabilistic formulation of the problem, which uses the reduction of the detection task to a classical task of Buffon. This formulation arises naturally in…

Robotics · Computer Science 2018-02-01 M. A. Guzev , G. Sh. Tsitsiashvili , M. A. Osipova , M. S. Sporyshev

We study the algorithmic problem of optimally covering a tree with $k$ mobile robots. The tree is known to all robots, and our goal is to assign a walk to each robot in such a way that the union of these walks covers the whole tree. We…

In this paper, we establish an initial theory regarding the Second Order Asymptotical Regularization (SOAR) method for the stable approximate solution of ill-posed linear operator equations in Hilbert spaces, which are models for linear…

Numerical Analysis · Mathematics 2018-08-28 Ye Zhang , Bernd Hofmann

Pick-and-place is one of the fundamental tasks in robotics research. However, the attention has been mostly focused on the ``pick'' task, leaving the ``place'' task relatively unexplored. In this paper, we address the problem of placing…

Robotics · Computer Science 2023-09-26 Joonhyung Lee , Sangbeom Park , Jeongeun Park , Kyungjae Lee , Sungjoon Choi

Historically, feature-based approaches have been used extensively for camera-based robot perception tasks such as localization, mapping, tracking, and others. Several of these approaches also combine other sensors (inertial sensing, for…

Robotics · Computer Science 2023-10-11 Kartikeya Singh , Charuvaran Adhivarahan , Karthik Dantu

In this paper the problem is posed of determining the physically-meaningful asymptotic orderings holding for the statistical description of a large $N-$body system of hard spheres,\textit{ i.e.,} formed by $N\equiv\frac{1}{\varepsilon}…

Classical Physics · Physics 2017-04-26 Massimo Tessarotto , Claudio Asci

In this paper, we propose two novel non-stationary first-order primal-dual algorithms to solve nonsmooth composite convex optimization problems. Unlike existing primal-dual schemes where the parameters are often fixed, our methods use…

Optimization and Control · Mathematics 2020-07-13 Quoc Tran-Dinh , Yuzixuan Zhu

Missions to rendezvous with or capture an asteroid present significant interest both from a geophysical and safety point of view. They are key to the understanding of our solar system are as well stepping stones for interplanetary human…

Optimization and Control · Mathematics 2015-08-05 S. Bresford , Monique Chyba , Thomas Haberkorn , Geoff Patterson