Add to ORKGWe consider state space equivalence and (a specialization of) feedback equivalence in the context of left-invariant control affine systems. Simple algebraic characterizations of both local and global forms of these equivalence relations are obtained. Several illustrative examples regarding the classification of systems on lowdimensional Lie groups are discussed in some detail.http://www.math.md/en/publications/basmam2018Mathematics and Applied Mathematic
summary:We seek to classify the full-rank left-invariant control affine systems evolving on solvable...
. Known and new results on controllability of right-invariant systems on solvable Lie groups are pre...
A vector field on a connected Lie group is said to be linear if its flow is a one parameter group of...
summary:We consider state space equivalence and feedback equivalence in the context of (full-rank) l...
We classify, under (local) state space equivalence, all full-rank left-invariant control affne syste...
This is a short survey of our recent research on invariant control systems (and their associated opt...
The aim of this paper is to prove that a control affine system on a manifold is equivalent by diffeo...
The aim of this paper is to prove that a control affine system on a manifold is equivalent by diffeo...
summary:We classify the left-invariant control affine systems evolving on the orthogonal group $SO(4...
Estudamos sistemas lineares em grupos de Lie introduzido por Ayala e Tirao em [3]. Esta nova classe ...
Abstract. Lecture notes of an introductory course on control theory on Lie groups. Controllability a...
This paper deals with affine invariant control systems on Lie groups. Controllability conditions for...
We consider under-actuated, drift-free, invariant systems on matrix Lie groups and show how motion c...
AbstractThe local equivalence problem for scalar control systems under the feedback pseudogroup is s...
International audienceThis paper is devoted to the study of controllability of linear systems on sol...
summary:We seek to classify the full-rank left-invariant control affine systems evolving on solvable...
. Known and new results on controllability of right-invariant systems on solvable Lie groups are pre...
A vector field on a connected Lie group is said to be linear if its flow is a one parameter group of...
summary:We consider state space equivalence and feedback equivalence in the context of (full-rank) l...
We classify, under (local) state space equivalence, all full-rank left-invariant control affne syste...
This is a short survey of our recent research on invariant control systems (and their associated opt...
The aim of this paper is to prove that a control affine system on a manifold is equivalent by diffeo...
The aim of this paper is to prove that a control affine system on a manifold is equivalent by diffeo...
summary:We classify the left-invariant control affine systems evolving on the orthogonal group $SO(4...
Estudamos sistemas lineares em grupos de Lie introduzido por Ayala e Tirao em [3]. Esta nova classe ...
Abstract. Lecture notes of an introductory course on control theory on Lie groups. Controllability a...
This paper deals with affine invariant control systems on Lie groups. Controllability conditions for...
We consider under-actuated, drift-free, invariant systems on matrix Lie groups and show how motion c...
AbstractThe local equivalence problem for scalar control systems under the feedback pseudogroup is s...
International audienceThis paper is devoted to the study of controllability of linear systems on sol...
summary:We seek to classify the full-rank left-invariant control affine systems evolving on solvable...
. Known and new results on controllability of right-invariant systems on solvable Lie groups are pre...
A vector field on a connected Lie group is said to be linear if its flow is a one parameter group of...