Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Goodman, Jacob R."'
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 of Lie groups endowed with a left-invariant metric, and on Lie groups that adm
Externí odkaz:
http://arxiv.org/abs/2401.01129
In this work, we study the reduction by a Lie group of symmetries of variational collision avoidance probelms of multiple agents evolving on a Riemannian manifold and derive necessary conditions for the reduced extremals. The problem consists of find
Externí odkaz:
http://arxiv.org/abs/2310.18389
This paper studies sufficient conditions in a variational obstacle avoidance problem on complete Riemannian manifolds. That is, we minimize an action functional, among a set of admissible curves, which depends on an artificial potential function used
Externí odkaz:
http://arxiv.org/abs/2310.18057
This paper studies the reduction by symmetry of a variational obstacle avoidance problem. We derive the reduced necessary conditions in the case of Lie groups endowed with a left-invariant metric, and for its corresponding Riemannian homogeneous spac
Externí odkaz:
http://arxiv.org/abs/2207.13574
Autor:
Goodman, Jacob R.
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, which depends on an artificial potential function used to avoid obstacles. In p
Externí odkaz:
http://arxiv.org/abs/2201.04395
Groups of unmanned aerial vehicles (UAVs) are increasingly utilized in transportation task as the combined strength allows to increase the maximum payload. However, the resulting mechanical coupling of the UAVs impose new challenges in terms of the t
Externí odkaz:
http://arxiv.org/abs/2111.00777
We study variational obstacle avoidance problems on complete Riemannian manifolds and apply the results to the construction of piecewise smooth curves interpolating a set of knot points in systems with impulse effects. We derive the dynamical equatio
Externí odkaz:
http://arxiv.org/abs/2108.13238
This paper presents the design of a geometric trajectory tracking controller for the cooperative task of two quadrotor UAVs (unmanned aerial vehicles) carrying and transporting a rigid bar, which is attached to the quadrotors via inflexible elastic c
Externí odkaz:
http://arxiv.org/abs/2104.06155
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 admissible curves, which depends on an artificial potential function used
Externí odkaz:
http://arxiv.org/abs/2104.04285
Autor:
Goodman, Jacob R.
Publikováno v:
Journal of Geometric Mechanics. 15:59-72
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, which depends on an artificial potential function used to avoid obstacles. In p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6c54fd03121aeef0d711deeb1ad8d2dc
https://doi.org/10.3934/jgm.2023003
https://doi.org/10.3934/jgm.2023003
