Super-Linearization with Monomial Observables: Necessary and Sufficient Conditions
We establish necessary and sufficient conditions for polynomial systems with a unique visible monomial observable to be (strongly) super-linearized using monomial observables. Our analysis reveals that, while a super-linearization may include additional observables, the observables that are essential for achieving the super-linearization must all have the same degree as the visible observable.
Authors
- Mohamed-Ali Belabbas (ORCID: https://orcid.org/0000-0001-9038-0809)
- Jehyung Ko
Institutions
- University of Illinois Urbana-Champaign (US)
Publication Details
- Journal
- IFAC-PapersOnLine
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1016/j.ifacol.2025.07.056
- Primary Topic
- Model Reduction and Neural Networks
- Type
- article
- Field-Weighted Citation Impact
- 0.00