5 papers · 1 filter
General Nilpotent and Solvable Approximations of Almost-Riemannian Structures
Yacine Chitour, Philippe Jouan, Ronald Manríquez
It is first shown that the nilpotent or the solvable approximation of an almost-Riemannian structure at a singular point is always a linear almost-Riemannian structure on a Lie gro…
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…
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…
Asymptotic Stability of Uniformly Bounded Nonlinear Switched Systems
Philippe Jouan, Naciri Saïd
We study the asymptotic stability properties of nonlinear switched systems under the assumption of the existence of a common weak Lyapunov function. We consider the class of noncha…
Equivalence of Control Systems with Linear Systems on Lie Groups and Homogeneous Spaces
Philippe Jouan
The aim of this paper is to prove that a control affine system on a manifold is equivalent by diffeomorphism to a linear system on a Lie group or a homogeneous space if and only th…