Zobrazeno 1 - 3
of 3
pro vyhledávání: '"Guilherme, Zsigmond"'
A simple Almost-Riemannian Structure on a Lie group G is defined by a linear vector field (that is an infinitesimal automorphism) and dim(G) -- 1 left-invariant ones. It is first proven that two different ARSs are isometric if and only if there exist
Externí odkaz:
http://arxiv.org/abs/1706.00649
Publikováno v:
Journal of Differential Equations. 269:449-466
In this paper we study the main properties of control sets with nonempty interior of linear systems on semisimple Lie groups. We show that, unlike the solvable case, linear systems on semisimple Lie groups may have more than one control set with none
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9108255058e3ddca634e07f0abe27572
https://doi.org/10.1016/j.jde.2019.12.010
https://doi.org/10.1016/j.jde.2019.12.010
Publikováno v:
Systems & Control Letters. 153:104956
This paper is devoted to the study of time optimal control of linear systems on Lie groups. General necessary conditions of the existence of time minimizers are stated when the controls are unbounded. The results are applied to systems on various Lie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53a2fe503221205bfc946b7e722f4d03
https://doi.org/10.1016/j.sysconle.2021.104956
https://doi.org/10.1016/j.sysconle.2021.104956