Collision avoidance of multiagent systems on Riemannian manifolds

JR Goodman, LJ Colombo - SIAM Journal on Control and Optimization, 2022 - SIAM
This paper studies variational collision avoidance problems for multiagent systems on
complete Riemannian manifolds. That is, we minimize an energy functional, among a set of …

High-order splines on Riemannian manifolds

M Camarinha, F Silva Leite, PE Crouch - Proceedings of the Steklov …, 2023 - Springer
High-Order Splines on Riemannian Manifolds | Proceedings of the Steklov Institute of
Mathematics Skip to main content SpringerLink Account Menu Find a journal Publish with …

Neighboring extremal nonlinear model predictive control of a rigid body on SO (3)

S Bagherzadeh, H Karimpour, M Keshmiri - Robotica, 2023 - cambridge.org
The issue of implementing nonlinear model predictive control (NMPC) on mechanical
systems evolving on special orthogonal group (SO (3)) is taken into consideration in the first …

Riemannian cubics close to geodesics at the boundaries

M Camarinha, FS Leite, P Crouch - Journal of Geometric …, 2022 - aimsciences.org
In this paper we investigate the existence and uniqueness of Riemannian cubics under
boundary conditions on position and velocity. We restrict the study to cubics close to …

Extended neighboring extremal optimal control with state and preview perturbations

A Vahidi-Moghaddam, K Zhang, Z Li… - IEEE Transactions …, 2023 - ieeexplore.ieee.org
Optimal control schemes have achieved remarkable performance in numerous engineering
applications. However, they typically require high computational cost, which has limited their …

NMPC‐Based Control of Underactuated Spacecraft: A Neighboring Extremal Approach Extended to SE (3)

S Bagherzadeh, H Karimpour… - … Control Applications and …, 2024 - Wiley Online Library
The present work revolves around employing the benefits of neighboring extremal approach
in the nonlinear model predictive control of mechanical systems evolving on SE (3). In the …

Existence of global minimizer for elastic variational obstacle avoidance problems on riemannian manifolds

L Colombo, J Goodman - … Conference on Geometric Science of Information, 2023 - Springer
This work is devoted to studying existence of global minimizers for optimal control problems
with obstacle avoidance. We show the existence of global extrema in the general setting of …

Local minimizers for variational obstacle avoidance on Riemannian manifolds

JR Goodman - arxiv preprint arxiv:2201.04395, 2022 - arxiv.org
This paper studies a variational obstacle avoidance problem on complete Riemannian
manifolds. That is, we minimize an action functional, among a set of admissible curves …

[HTML][HTML] Вычислительная диагностика неустойчивых по Якоби динамических систем с использованием гибридных алгоритмов глобальной оптимизации

ПМ Шкапов, АВ Сулимов… - … университета им. НЭ …, 2021 - cyberleninka.ru
Рассмотрены задачи восстановления и анализа свободных параметров динамических
систем по косвенной, приближенно заданной информации. В контексте теории …

Variational Collision Avoidance on Riemannian Manifolds

JR Goodman, LJ Colombo - arxiv preprint arxiv:2104.04285, 2021 - arxiv.org
This paper studies variational collision avoidance problems for multi-agents systems on
complete Riemannian manifolds. That is, we minimize an energy functional, among a set of …