Hurwitz rational functions

A generalization of Hurwitz stable polynomials to real rational functions is considered. We establish an analog of the Hurwitz stability criterion for rational functions and introduce a new type of determinants that can be treated as a generalization of the Hurwitz determinants.

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Bibliographic Details
Published in:Linear algebra and its applications Vol. 435; no. 8; pp. 1845 - 1856
Main Authors: Barkovsky, Yury, Tyaglov, Mikhail
Format: Journal Article
Language:English
Published: Elsevier Inc 15.10.2011
Subjects:
Hurwitz matrix
Hurwitz rational function
Hurwitz stable polynomials
Pole localization
Root localization
Pole localization
Hurwitz stable polynomials
Root localization
26C10
Hurwitz rational function
Hurwitz matrix
15B05
26C15
15A15
26C05
30C15
ISSN:0024-3795
Online Access:Get full text
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Description
Summary:A generalization of Hurwitz stable polynomials to real rational functions is considered. We establish an analog of the Hurwitz stability criterion for rational functions and introduce a new type of determinants that can be treated as a generalization of the Hurwitz determinants.
ISSN:0024-3795
DOI:10.1016/j.laa.2011.03.062