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arXiv · 2411.17526

Strictly Stable Hurwitz Polynomials and their Determinantal Representations

Victor Vinnikov·Hugo J. Woerdeman
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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.

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Victor Vinnikov, Hugo J. Woerdeman. 2024-11-26. Strictly Stable Hurwitz Polynomials and their Determinantal Representations. https://arxiv.org/abs/2411.17526

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