Reduction by symmetries of contact mechanical systems on Lie groups

AA Simoes, L Colombo, M de León, JC Marrero… - arXiv preprint arXiv …, 2023 - arxiv.org
We study the dynamics of contact mechanical systems on Lie groups that are invariant under
a Lie group action. Analogously to standard mechanical systems on Lie groups, existing …

Reduction by symmetries of contact mechanical systems on Lie groups

A Anahory, LJ Colombo, M de Leon, JC Marrero… - SIAM Journal on Applied …, 2024 - SIAM
We study the dynamics of contact mechanical systems on Lie groups that are invariant under
a Lie group action. Analogously to standard mechanical systems on Lie groups, existing …

Maintaining Symmetry in Optimal and Safe Control of the Ship to Avoid Collisions at Sea

J Lisowski - Symmetry, 2023 - mdpi.com
The aim of this study was to make a novel symmetry analysis in relation to the importance of
optimizing the ship's trajectory and safety in situations at sea where there is a risk of collision …

Reduction by Symmetry and Optimal Control with Broken Symmetries on Riemannian Manifolds

JR Goodman, LJ Colombo - arXiv preprint arXiv:2401.01129, 2024 - arxiv.org
This paper studies the reduction by symmetry of variational problems on Lie groups and
Riemannian homogeneous spaces. We derive the reduced equations of motion in the case …

[PDF][PDF] Maintaining Symmetry in Optimal and Safe Control of the Ship to Avoid Collisions at Sea. Symmetry 2023, 15, 1016

J Lisowski - 2023 - academia.edu
The aim of this study was to make a novel symmetry analysis in relation to the importance of
optimizing the ship's trajectory and safety in situations at sea where there is a risk of collision …