Hurwitz rational functions

被引：2
|
作者：
Barkovsky, Yury [2 ]
Tyaglov, Mikhail [1 ]
机构：
[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany
[2] So Fed Univ, Dept Calculus Math & Math Phys, Fac Math Mech & Comp Sci, Rostov Na Donu 344090, Russia
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 435卷 / 08期
关键词：
Hurwitz stable polynomials; Hurwitz rational function; Root localization; Pole localization; Hurwitz matrix;
D O I：
10.1016/j.laa.2011.03.062
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2011 Elsevier Inc. All rights reserved.
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页码：1845 / 1856
页数：12
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