On the relation between Hurwitz stability of matrix polynomials and matrix-valued Stieltjes functions
DOI10.1016/j.cam.2022.114614OpenAlexW4285808133WikidataQ113878688 ScholiaQ113878688MaRDI QIDQ2088787
Publication date: 6 October 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114614
matrix polynomialsHankel matricesStieltjes functionsHerglotz-Nevanlinna functionsHermite-Biehler theoremHurwitz stability
Asymptotic stability in control theory (93D20) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Matrices over function rings in one or more variables (15A54) Numerical linear algebra (65F99) Numerical computation of matrix exponential and similar matrix functions (65F60)
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