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In this paper we use a dynamical approach to prove some new divergence theorems on complete non-compact Riemannian manifolds.

Differential Geometry · Mathematics 2016-12-28 Ítalo Melo , Enrique Pujals

Predicting future motions of road participants is an important task for driving autonomously in urban scenes. Existing models excel at predicting marginal trajectories for single agents, yet it remains an open question to jointly predict…

Robotics · Computer Science 2022-03-29 Qiao Sun , Xin Huang , Junru Gu , Brian C. Williams , Hang Zhao

This paper presents an algorithm for local motion planning in environments populated by moving elliptical obstacles whose velocity, shape and size are fully known but may change with time. We base the algorithm on a collision avoidance…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Martin Braquet , Efstathios Bakolas

For many multiagent control problems, neural networks (NNs) have enabled promising new capabilities. However, many of these systems lack formal guarantees (e.g., collision avoidance, robustness), which prevents leveraging these advances in…

Systems and Control · Electrical Eng. & Systems 2024-04-29 Zihao Dong , Shayegan Omidshafiei , Michael Everett

This paper investigates the collision-free control problem for multi-agent systems. For such multi-agent systems, it is the typical situation where conventional methods using either the usual centralized model predictive control (MPC), or…

Multiagent Systems · Computer Science 2024-02-07 Zilong Cheng , Jun Ma , Wenxin Wang , Zicheng Zhu , Clarence W. de Silva , Tong Heng Lee

Finding feasible, collision-free paths for multiagent systems can be challenging, particularly in non-communicating scenarios where each agent's intent (e.g. goal) is unobservable to the others. In particular, finding time efficient paths…

Multiagent Systems · Computer Science 2016-09-29 Yu Fan Chen , Miao Liu , Michael Everett , Jonathan P. How

Multi-agent path planning (MAPP) is the problem of planning collision-free trajectories from start to goal locations for a team of agents. This work explores a relatively unexplored setting of MAPP where streams of agents have to go through…

Multiagent Systems · Computer Science 2023-06-30 Kazumi Kasaura , Ryo Yonetani , Mai Nishimura

The optimization of fuel-optimal low-thrust collision avoidance maneuvers (CAMs) in scenarios involving multiple encounters between spacecraft is addressed. The optimization's objective is the minimization of the total fuel consumption…

Optimization and Control · Mathematics 2024-06-07 Zeno Pavanello , Laura Pirovano , Roberto Armellin , Andrea De Vittori , Pierluigi Di Lizia

We use a new variational method --based on the theory of anti-selfdual Lagrangians developed in [2] and [3]-- to establish the existence of solutions of convex Hamiltonian systems that connect two given Lagrangian submanifolds in $\R^{2N}$.…

Analysis of PDEs · Mathematics 2007-05-23 Nassif Ghoussoub , Abbas Moameni

In this paper we propose a periodic solution to the problem of persistently covering a finite set of interest points with a group of autonomous mobile agents. These agents visit periodically the points and spend some time carrying out the…

Robotics · Computer Science 2024-01-25 José Manuel Palacios-Gasós , Eduardo Montijano , Carlos Sagüés , Sergio Llorente

Online generation of collision free trajectories is of prime importance for autonomous navigation. Dynamic environments, robot motion and sensing uncertainties adds further challenges to collision avoidance systems. This paper presents an…

Robotics · Computer Science 2021-04-06 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto

The effectiveness of collective navigation of biological or artificial agents requires to accommodate for contrasting requirements, such as staying in a group while avoiding close encounters and at the same time limiting the energy…

Statistical Mechanics · Physics 2021-08-06 Francesco Borra , Massimo Cencini , Antonio Celani

Variational Bayes (VB) has become a widely-used tool for Bayesian inference in statistics and machine learning. Nonetheless, the development of the existing VB algorithms is so far generally restricted to the case where the variational…

Machine Learning · Computer Science 2021-08-04 Minh-Ngoc Tran , Dang H. Nguyen , Duy Nguyen

Motivated by recent developments in Hamiltonian variational principles, Hamiltonian variational integrators, and their applications such as to optimization and control, we present a new Type II variational approach for Hamiltonian systems,…

Symplectic Geometry · Mathematics 2025-04-10 Brian K. Tran , Melvin Leok

This work introduces a distributed formation control strategy for multi-agent systems based solely on rotation symmetry constraints. We propose a potential function that enforces inter-agent \textbf{rotational} symmetries, whose gradient…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Zamir Martinez , Daniel Zelazo

In this paper, we consider the problem of minimizing a smooth function on a Riemannian manifold and present a Riemannian gradient method with momentum. The proposed algorithm represents a substantial and nontrivial extension of a recently…

Optimization and Control · Mathematics 2026-03-05 Filippo Leggio , Diego Scuppa

Finite-time motion planning with collision avoidance is a challenging issue in multi-agent systems. This paper proposes a novel distributed controller based on a new Lyapunov barrier function which guarantees finite-time stability for…

Multiagent Systems · Computer Science 2022-08-04 Yilei Jiang , Dongkun Han

This work proposes a coverage controller that enables an aerial team of distributed autonomous agents to collaboratively generate non-myopic coverage plans over a rolling finite horizon, aiming to cover specific points on the surface area…

This paper addresses the motion planning problem for a team of aerial agents under high level goals. We propose a hybrid control strategy that guarantees the accomplishment of each agent's local goal specification, which is given as a…

Robotics · Computer Science 2016-10-05 Christos K. Verginis , Ziwei Xu , Dimos V. Dimarogonas

The main contribution of this paper is a methodology for multiple non-cooperating swarms of unmanned aerial vehicles to independently cover a common area. In contrast to previous research on coverage control involving more than one swarm,…

Systems and Control · Electrical Eng. & Systems 2024-11-14 Karolina Schmidt , Luis Rodrigues