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math.CA2020
Herglotz-Nevanlinna matrix functions and Hurwitz stability of matrix polynomials
Xuzhou Zhan
This paper elaborates on a relationship between matrix-valued Herglotz-Nevanlinna functions and Hurwitz stable matrix polynomials, which generalizes the corresponding classical sta…
math.CA2019
On generalization of classical Hurwitz stability criteria for matrix polynomials
Xuzhou Zhan, Alexander Dyachenko
In this paper, we associate a class of Hurwitz matrix polynomials with Stieltjes positive definite matrix sequences. This connection leads to an extension of two classical criteria…