Hermite-Biehler, Routh-Hurwitz, and total positivity

被引：36

作者：

Holtz, O ^{[1
]}

机构：

[1] Tech Univ Berlin, Math Inst, D-10623 Berlin, Germany

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2003年 / 372卷 / SUPPL.期

关键词：

stability; Hermite-Biehler theorem; Routh-Hurwitz criterion; Hurwitz matrix; root interlacing; totally nonnegative matrices;

D O I：

10.1016/S0024-3795(03)00501-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Simple proofs of the Hermite-Biehler and Routh-Hurwitz theorems are presented. The total nonnegativity of the Hurwitz matrix of a stable real polynomial follows as an immediate corollary. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：105 / 110

页数：6

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