Strictly Stable Hurwitz Polynomials and their Determinantal Representations
Functional Analysis
2024-11-27 v1 Algebraic Geometry
Abstract
We establish various certifying determinantal representation results for a polynomial that contains as a factor a prescribed multivariable polynomials that is strictly stable on a tube domain. The proofs use a Cayley transform in combination with the Matrix-valued Hermitian Positivstellensatz developed in ArXiv:1501.05527.
Cite
@article{arxiv.2411.17526,
title = {Strictly Stable Hurwitz Polynomials and their Determinantal Representations},
author = {Victor Vinnikov and Hugo J. Woerdeman},
journal= {arXiv preprint arXiv:2411.17526},
year = {2024}
}