Zobrazeno 1 - 10
of 79
pro vyhledávání: '"JOUAN, PHILIPPE"'
Autor:
Alfaro, Matthieu, Jouan, Philippe
We consider the Allen-Cahn equation with the so-called truncated Laplacians, which are fully nonlinear differential operators that depend on some eigenvalues of the Hessian matrix. By monitoring the sign of a quantity that is responsible for switches
Externí odkaz:
http://arxiv.org/abs/2310.07294
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 group or a homogeneous space. The generic properties of almost-Riemannian
Externí odkaz:
http://arxiv.org/abs/2204.04979
In this paper we show that any linear vector field $\mathcal{X}$ on a connected Lie group $G$ admits a Jordan decomposition and the recurrent set of the associated ow of automorphisms is given as the intersection of the fixed points of the hyperbolic
Externí odkaz:
http://arxiv.org/abs/2002.01094
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 control systems on semisimple Lie groups may have more than one contr
Externí odkaz:
http://arxiv.org/abs/1812.05004
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
Autor:
Jouan, Philippe, Naciri, Saïd
This paper is concerned with the convergence rate of the solutions of nonlinear switched systems. We first consider a switched system which is asymptotically stable for a class of inputs but not for all inputs. We show that solutions corresponding to
Externí odkaz:
http://arxiv.org/abs/1511.01737
Publikováno v:
In Systems & Control Letters July 2021 153
Autor:
Dath, Mouhamadou, Jouan, Philippe
This paper is devoted to the study of controllability of linear systems on generalized Heisenberg groups. Some general necessary controllability conditions and some sufficient ones are provided. We introduce the notion of decoupled systems, and more
Externí odkaz:
http://arxiv.org/abs/1510.04224
Autor:
Ayala, Victor, Jouan, Philippe
A simple Almost-Riemmanian Structure on a Lie group G is defined by a linear vector field and dim(G)-1 left-invariant ones. We state results about the singular locus, the abnormal extremals and the desingularization of such ARS's, and these results a
Externí odkaz:
http://arxiv.org/abs/1503.03040
Publikováno v:
In Journal of Differential Equations 15 June 2020 269(1):449-466