8 citations · 8 across the 5 of their papers we have counts for
5 papers
Fast stability tests for Hermitian matrix polynomials
Vanni Noferini, Xuzhou Zhan
Assessing the asymptotic stability of linear self-adjoint homogeneous systems of differential-algebraic equations requires testing the Hurwitz stability of the associated Hermitian…
A generalized Hurwitz stability criterion via rectangular block Hankel matrices for nonmonic matrix polynomials
Zixiang Ni, Yongjian Hu, Xuzhou Zhan
We develop a Hurwitz stability criterion for nonmonic matrix polynomials via column reduction, generalizing existing approaches constrained by the monic assumption and thus serving…
Application of quasideterminants to the inverse of block triangular matrices over noncommutative rings
Xuzhou Zhan
Given a block triangular matrix over a noncommutative ring with invertible diagonal blocks, this work gives two new representations of its inverse . Each block element…
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…
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…