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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Bibliographische Detailangaben
Veröffentlicht in:Linear algebra and its applications Jg. 435; H. 8; S. 1845 - 1856
Hauptverfasser: Barkovsky, Yury, Tyaglov, Mikhail
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Inc 15.10.2011
Schlagworte:
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
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Beschreibung
Zusammenfassung: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