On Maximal Robust Positively Invariant Sets in Constrained Nonlinear Systems
Optimization and Control
2021-03-02 v3 Systems and Control
Systems and Control
Abstract
In this technical communique we study the maximal robust positively invariant set for state-constrained continuous-time nonlinear systems subjected to a bounded disturbance. Extending results from the theory of barriers, we show that this set is closed and that its boundary consists of two complementary parts, one of which we name the invariance barrier, which consists of trajectories that satisfy the maximum principle.
Cite
@article{arxiv.1904.01985,
title = {On Maximal Robust Positively Invariant Sets in Constrained Nonlinear Systems},
author = {Willem Esterhuizen and Tim Aschenbruck and Stefan Streif},
journal= {arXiv preprint arXiv:1904.01985},
year = {2021}
}
Comments
6 pages, 3 figures. As published in Automatica