On the computation of lambda-contractive sets for linear constrained systems
Optimization and Control
2016-06-10 v1
Abstract
We present two theoretical results on the computation of lambda-contractive sets for linear systems with state and input constraints. First, we show that it is possible to a priori compute a number of iterations that is sufficient to approximate the maximal lambda-contractive set with a given precision using 1-step sets. Second, based on the former result, we provide a procedure for choosing lambda so that the associated maximal lambda-contractive set is guaranteed to approximate the maximal controlled invariant set with a given accuracy.
Cite
@article{arxiv.1606.02919,
title = {On the computation of lambda-contractive sets for linear constrained systems},
author = {Moritz Schulze Darup and Mark Cannon},
journal= {arXiv preprint arXiv:1606.02919},
year = {2016}
}