Zobrazeno 1 - 10
of 280
pro vyhledávání: '"Ayala, Victor"'
In this paper, we study the dynamical behavior of a linear control system on $\R^2$ when the associated matrix has real eigenvalues. Different from the complex case, we show that the position of the control zero relative to the control range can have
Externí odkaz:
http://arxiv.org/abs/2402.18269
In this paper we prove that automorphisms are the only isometries between rank two Almost-Riemannian Structures on the class of nonnilpotent, solvable, connected 3D Lie groups. As a consequence, a classification result for rank two ARSs on the groups
Externí odkaz:
http://arxiv.org/abs/2309.01896
Through the Pontryagin maximum principle, we solve a minimal-time problem for a linear control system on a cylinder, considered as a homogeneous space of the solvable Lie group of dimension two. The main result explicitly shows the existence of an op
Externí odkaz:
http://arxiv.org/abs/2304.12754
The objective of this paper is to study the controllability of discrete-time linear control systems in solvable Lie groups. In the special case of nilpotent Lie groups, a necessary and sufficient condition for controllability is established. Furtherm
Externí odkaz:
http://arxiv.org/abs/2302.00145
This article describes the control behavior of any linear control systems on the group of proper motions $SE(2)$. It characterizes the controllability property and the control sets of the system.
Externí odkaz:
http://arxiv.org/abs/2205.02947
This paper explicitly computes the unique control set $D$ with non-empty interior of a linear control system on $\mathbb{R}^2$, when the associated matrix has complex eigenvalues. It turns out that the closure of $D$ coincides with the the region del
Externí odkaz:
http://arxiv.org/abs/2205.01808
Autor:
Masson, Sandie, Rueda-Ayala, Victor, Bragazza, Luca, Cordeau, Stephane, Munier-Jolain, Nicolas, Wirth, Judith
Publikováno v:
In European Journal of Agronomy October 2024 160
In this paper we study Almost-Riemannian Structures (ARS) on the class of nonnilpotent, solvable, conneted 3D Lie groups. The nice structures present in such groups allow us to show that the singular locus of ARSs on such groups are always embedded s
Externí odkaz:
http://arxiv.org/abs/2201.06414
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
Autor:
Ayala, Victor, Da Silva, Adriano
The present paper shows that the bounded control set of a linear system on a connected Lie group $G$ contains all the bounded orbits of the system. As a consequence, its closure is the continuous image of the cartesian product of the set of control f
Externí odkaz:
http://arxiv.org/abs/2002.00436