Hyperbolic Chain Control Sets on Flag Manifolds
Optimization and Control
2014-02-25 v1 Dynamical Systems
Abstract
In this paper we study the chain control sets of right-invariant control systems on the flag manifolds of a non-compact semisimple Lie group. We prove that each chain control set is partially (skew-) hyperbolic over the associated control flow. Moreover, we characterize those chain control sets that are uniformly (skew-) hyperbolic in terms of the flag type of the control flow.
Cite
@article{arxiv.1402.5841,
title = {Hyperbolic Chain Control Sets on Flag Manifolds},
author = {Adriano Da Silva and Christoph Kawan},
journal= {arXiv preprint arXiv:1402.5841},
year = {2014}
}