Strictly Stable Hurwitz Polynomials and their Determinantal Representations

Victor Vinnikov; Hugo J Woerdeman

doi:10.48550/arxiv.2411.17526

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Strictly Stable Hurwitz Polynomials and their Determinantal Representations

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Strictly Stable Hurwitz Polynomials and their Determinantal Representations

Victor Vinnikov and Hugo J Woerdeman

26 Nov 2024

DOI: https://doi.org/10.48550/arxiv.2411.17526

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Abstract

Mathematics - Algebraic Geometry

Mathematics - Functional Analysis

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.

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Title: Strictly Stable Hurwitz Polynomials and their Determinantal Representations
Creators: Victor Vinnikov
Hugo J Woerdeman
Resource Type: Preprint
Language: English
Academic Unit: Mathematics
Other Identifier: 991021964608904721

Strictly Stable Hurwitz Polynomials and their Determinantal Representations

Files and links (1)

Abstract

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