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Trajectory planning is a fundamental problem in robotics. It facilitates a wide range of applications in navigation and motion planning, control, and multi-agent coordination. Trajectory planning is a difficult problem due to its…

Robotics · Computer Science 2024-02-13 Zihan Yu , Yuqing Tang

This paper addresses the problem of cooperative transportation of an object rigidly grasped by N robotic agents. We propose a Nonlinear Model Predictive Control (NMPC) scheme that guarantees the navigation of the object to a desired pose in…

Robotics · Computer Science 2018-03-22 Christos K. Verginis , Alexandros Nikou , Dimos V. Dimarogonas

We propose a Newton-based scheme, initialized by neural operator predictions, to accelerate the parametric solution of nonlinear problems in computational solid mechanics. First, a physics informed conditional neural field is trained to…

Machine Learning · Computer Science 2025-11-11 Kianoosh Taghikhani , Yusuke Yamazaki , Jerry Paul Varghese , Markus Apel , Reza Najian Asl , Shahed Rezaei

We present a method for collisionless multi-agent path planning using the Hamilton-Jacobi-Bellman equation. Because the method is rooted in optimal control theory and partial differential equations, it avoids the need for hierarchical…

Optimization and Control · Mathematics 2026-04-01 Christian Parkinson , Adan Baca , Huy Nguyen

We introduce and study analytically and numerically a simple model of inter-agent competition, where underachievement is strongly discouraged. We consider $N\gg 1$ particles performing independent Brownian motions on the line. Two particles…

Statistical Mechanics · Physics 2025-03-03 P. L. Krapivsky , Ohad Vilk , Baruch Meerson

Advancement in intelligent transportation systems with complex operations requires autonomous planning and management to avoid collisions in day-to-day traffic. As failure and/or inadequacy in traffic safety system are life-critical, such…

Multiagent Systems · Computer Science 2016-12-06 Poulami Dalapati , Abhijeet Padhy , Bhawana Mishra , Animesh Dutta , Swapan Bhattacharya

A reactive obstacle avoidance method for mobile manipulators is presented. The objectives of the developed algorithm are twofold. The first one is to find a trajectory in the configuration space of a mobile manipulator so as to follow a…

Robotics · Computer Science 2015-02-10 Luigi Palmieri

Decentralized multi-agent navigation under uncertainty is a complex task that arises in numerous robotic applications. It requires collision avoidance strategies that account for both kinematic constraints, sensing and action execution…

Robotics · Computer Science 2025-08-01 Stepan Dergachev , Konstantin Yakovlev

We present an efficient, accurate, and robust method for simulation of dense suspensions of deformable and rigid particles immersed in Stokesian fluid in two dimensions. We use a well-established boundary integral formulation for the…

Numerical Analysis · Mathematics 2017-08-23 Libin Lu , Abtin Rahimian , Denis Zorin

Simulating the evolution of the gravitational N-body problem becomes extremely computationally expensive as N increases since the problem complexity scales quadratically with the number of bodies. We study the use of Artificial Neural…

Earth and Planetary Astrophysics · Physics 2023-11-01 Veronica Saz Ulibarrena , Philipp Horn , Simon Portegies Zwart , Elena Sellentin , Barry Koren , Maxwell X. Cai

We propose a distributed cubic regularization of the Newton method for solving (constrained) empirical risk minimization problems over a network of agents, modeled as undirected graph. The algorithm employs an inexact, preconditioned Newton…

Optimization and Control · Mathematics 2021-06-21 Amir Daneshmand , Gesualdo Scutari , Pavel Dvurechensky , Alexander Gasnikov

We consider in this paper random batch particle methods for efficiently solving the homogeneous Landau equation in plasma physics. The methods are stochastic variations of the particle methods proposed by Carrillo et al. [J. Comput. Phys.:…

Numerical Analysis · Mathematics 2022-04-13 José Antonio Carrillo , Shi Jin , Yijia Tang

Motion planning methods for autonomous systems based on nonlinear programming offer great flexibility in incorporating various dynamics, objectives, and constraints. One limitation of such tools is the difficulty of efficiently representing…

Systems and Control · Electrical Eng. & Systems 2022-03-31 James Guthrie , Marin Kobilarov , Enrique Mallada

By framing reinforcement learning as a sequence modeling problem, recent work has enabled the use of generative models, such as diffusion models, for planning. While these models are effective in predicting long-horizon state trajectories…

Based on the practical scenario where collisions in formation control may lead to agent damage, this paper investigates the integrated problem of distance-based formation control and collision avoidance for multi-agent systems governed by…

Optimization and Control · Mathematics 2026-05-19 Jingyi Zhao , Yongxin Wu , Héctor García de Marina , Yuhu Wu , Yann Le Gorrec

This study presents an innovative direct numerical simulation approach for complex particle systems with irregular shapes and large numbers. Using partially saturated methods, it accurately models arbitrary shapes, albeit at considerable…

Fluid Dynamics · Physics 2024-07-23 J. E. Marquardt , N. Hafen , M. J. Krause

In the field of autonomous robots, reinforcement learning (RL) is an increasingly used method to solve the task of dynamic obstacle avoidance for mobile robots, autonomous ships, and drones. A common practice to train those agents is to use…

Robotics · Computer Science 2022-12-09 Fabian Hart , Ostap Okhrin

In this paper, we consider the problem of providing robustness to adversarial communication in multi-agent systems. Specifically, we propose a solution towards robust cooperation, which enables the multi-agent system to maintain high…

Robotics · Computer Science 2020-12-02 Rupert Mitchell , Jan Blumenkamp , Amanda Prorok

We present a multiscale hybrid particle-field scheme for the simulation of relaxation and diffusion behavior of soft condensed matter systems. It combines particle-based Brownian dynamics and field-based local dynamics in an adaptive sense…

Soft Condensed Matter · Physics 2017-09-06 Shuanhu Qi , Friederike Schmid

In this paper we present a hybrid feedback approach to solve the navigation problem of a point mass in the n-dimensional space containing an arbitrary number of ellipsoidal shape obstacles. The proposed hybrid control algorithm guarantees…

Optimization and Control · Mathematics 2021-06-22 Soulaimane Berkane , Andrea Bisoffi , Dimos V. Dimarogonas