Invariance Entropy of Hyperbolic Control Sets
Optimization and Control
2014-08-12 v1 Dynamical Systems
Abstract
In this paper, we improve the known estimates for the invariance entropy of a nonlinear control system. For sets of complete approximate controllability we derive an upper bound in terms of Lyapunov exponents and for uniformly hyperbolic sets we obtain a similar lower bound. Both estimates can be applied to hyperbolic chain control sets, and we prove that under mild assumptions they can be merged into a formula.
Cite
@article{arxiv.1408.2416,
title = {Invariance Entropy of Hyperbolic Control Sets},
author = {Adriano Da Silva and Christoph Kawan},
journal= {arXiv preprint arXiv:1408.2416},
year = {2014}
}