On reachability and null-controllability of nonstrict convex processes
Optimization and Control
2021-12-30 v2
Abstract
This paper studies reachability and null-controllability for difference inclusions involving convex processes. Such difference inclusions arise, for instance, in the study of linear discrete-time systems whose inputs and/or states are constrained to lie within a convex cone. After developing a geometric framework for convex processes relying on invariance properties, we provide necessary and sufficient conditions for both reachability and null-controllability in terms of the spectrum of dual processes.
Cite
@article{arxiv.2106.15929,
title = {On reachability and null-controllability of nonstrict convex processes},
author = {Jaap Eising and M. Kanat Camlibel},
journal= {arXiv preprint arXiv:2106.15929},
year = {2021}
}