Control Systems on Flag Manifolds and their chain Control sets
Dynamical Systems
2016-06-20 v2
Abstract
In this paper we shown that the chain control sets of induced systems on flag manifolds coincides with their analogous one defined via semigroup actions. Consequently, any chain control set of the system contains a control set with nonempty interior and, if the number of the control sets with nonempty interior coincides with the number of the chain control sets, then the closure of any control set with nonempty interior is a chain control set.
Cite
@article{arxiv.1602.07312,
title = {Control Systems on Flag Manifolds and their chain Control sets},
author = {Victor Ayala and Adriano Da Silva and Luiz A. B. San Martin},
journal= {arXiv preprint arXiv:1602.07312},
year = {2016}
}