Minimal realizations of input-output behaviors by LPV state-space representations with affine dependency
Optimization and Control
2023-06-21 v2
Abstract
The paper makes the first steps towards a behavioral theory of LPV state-space representations with an affine dependency on scheduling, by characterizing minimality of such state-space representations. It is shown that minimality is equivalent to observability, and that minimal realizations of the same behavior are isomorphic.Finally, we establish a formal relationship between minimality of LPV state-space representations with an affine dependence on scheduling and minimality of LPV state-space representations with a dynamic and meromorphic dependence on scheduling.
Keywords
Cite
@article{arxiv.2305.08508,
title = {Minimal realizations of input-output behaviors by LPV state-space representations with affine dependency},
author = {Mihály Petreczky and Roland Tóth and Guillaume Mercère},
journal= {arXiv preprint arXiv:2305.08508},
year = {2023}
}