Bounds for Invariance Pressure
Optimization and Control
2019-04-10 v1 Dynamical Systems
Abstract
This paper provides an upper for the invariance pressure of control sets with nonempty interior and a lower bound for sets with finite volume. In the special case of the control set of a hyperbolic linear control system in R^{d} this yields an explicit formula. Further applications to linear control systems on Lie groups and to inner control sets are discussed.
Cite
@article{arxiv.1904.04768,
title = {Bounds for Invariance Pressure},
author = {Fritz Colonius and Alexandre J. Santana and João A. N. Cossich},
journal= {arXiv preprint arXiv:1904.04768},
year = {2019}
}
Comments
16 pages