Submersions and curves of constant geodesic curvature

Autor: Irina Markina, Erlend Grong, M. Godoy Molina

Publikováno v: Mathematische Nachrichten. 292:1956-1971

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e03738866d8b4239c14afc4cbf828f20
https://doi.org/10.1002/mana.201800352

An intrinsic formulation of the problem on rolling manifolds

Autor: M. Godoy Molina, Irina Markina, Erlend Grong, F. Silva Leite

Publikováno v: Journal of Dynamical and Control Systems. 18:181-214

We present an intrinsic formulation of the kinematic problem of two n-dimensional manifolds rolling one on another without twisting or slipping. We determine the configuration space of the system, which is an n(n?+?3)/2-dimensional manifold. The cond

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cad637027cdc0c53d2b0868dcbba98d6
https://doi.org/10.1007/s10883-012-9139-2

On the Controllability of the Rolling Problem onto the Hyperbolic n-space

Autor: Kokkonen Petri, M. Godoy Molina, Yacine Chitour

Publikováno v: SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2015, 53 (2), pp.948-968. ⟨10.1137/120901830⟩

In the present paper, we study the controllability of the control system associated with rolling without slipping or spinning of a Riemannian manifold $(M,g)$ onto the hyperbolic $n$-space ${\mathbb H}^n$. Our main result states that the system is co

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de8883c6d5d503c09daa76799ae679ef
https://hal-centralesupelec.archives-ouvertes.fr/hal-01271288

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