Zobrazeno 1 - 10
of 840
pro vyhledávání: '"Da Silva Adriano"'
Publikováno v:
Open Mathematics, Vol 21, Iss 1, Pp 956-973 (2023)
In this article, we are concerned with minimal-time optimal problems for the class of controllable linear control system on low-dimensional nonnilpotent solvable Lie groups and their homogeneous spaces.
Externí odkaz:
https://doaj.org/article/2043c27c9c544a8cb6f8e25c8703e5cb
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
The controllability issue of control-affine systems on smooth manifolds is one of the main problems in the theory, and it is recently known [Jouan P. Equivalence of control systems with linear systems on Lie groups and homogeneous spaces. ESAIM: Cont
Externí odkaz:
http://arxiv.org/abs/2401.16925
Publikováno v:
Open Mathematics, Vol 15, Iss 1, Pp 1477-1486 (2017)
For a given endomorphism φ on a connected Lie group G this paper studies several subgroups of G that are intrinsically connected with the dynamic behavior of φ.
Externí odkaz:
https://doaj.org/article/f6d13c7df9764af987aa76d253d6c436
In this paper, we show that for a linear control system on a nilpotent Lie group, the Lie algebra rank condition is enough to assure the existence of a control set with a nonempty interior, as soon as the set of singularities of the drift is compact.
Externí odkaz:
http://arxiv.org/abs/2311.07364
In this article, we completely describe the control sets of one-input linear control systems on solvable, nonnilpotent 3D Lie groups. We show that, if the restriction of the associate derivation to the nilradical is nontrivial, the Lie algebra rank c
Externí odkaz:
http://arxiv.org/abs/2310.02176
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
Autor:
Da Silva, Adriano
In this paper, we analyze the chain control sets of linear control systems on connected Lie groups. Our main result shows that the compactness of the central subgroup associated with the drift is a necessary and sufficient condition to assure the uni
Externí odkaz:
http://arxiv.org/abs/2306.12936
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