Canonical forms for polynomial systems with balanced super-linearizations
Optimization and Control
2022-12-26 v1
Abstract
A system is Koopman super-linearizable if it admits a finite-dimensional embedding as a linear system. Super-linearization is used to leverage methods from linear systems theory to design controllers or observers for nonlinear systems. We call a super-linearization balanced if the degrees of the hidden observables do not exceed the ones of the visible observables. We show that systems admitting such super-linearization can be put in a simple canonical form via a linear change of variables.
Keywords
Cite
@article{arxiv.2212.12054,
title = {Canonical forms for polynomial systems with balanced super-linearizations},
author = {M. -A. Belabbas},
journal= {arXiv preprint arXiv:2212.12054},
year = {2022}
}