3 papers
math.OC2018
Control sets of linear systems on semi-simple Lie groups
Victor Ayala, Adriano Da Silva, Philippe Jouan +1
In this paper we study the main properties of control sets with nonempty interior of linear control systems on semisimple Lie groups. We show that, unlike the solvable case, linear…
math.OC2017
Isometries of almost-Riemannian structures on Lie groups
Philippe Jouan, Zsigmond Guilherme, Victor Ayala
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 p…
math.DS2014
Control sets of linear systems on Lie groups
Adriano Da Silva, Victor Ayala, Guilherme Zsigmond
Linear systems on Lie groups are a natural generalization of linear system on Euclidian spaces. For such systems, this paper studies the properties of the maximal sets of approxima…