In this paper we will propose a definition of the concept of minimal state-space representations in innovation form for LPV. We also present algebraic conditions for a stochastic LPV state-space representation to be minimal in forward innovation form and discuss an algorithm for transforming any stochastic LPV state-space representation to a minimal one in innovation form.
Cite
@article{arxiv.2203.15409,
title = {On minimal LPV state-space representations in innovation form: an algebraic characterization},
author = {Elie Rouphael and Mihaly Petreczky and Lotfi Belkoura},
journal= {arXiv preprint arXiv:2203.15409},
year = {2022}
}