3 papers
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.OC2012
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…
math.OC2008
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…