Generalizations of the Hermite-Biehler theorem: the complex case

被引：24

作者：

Ho, MT

Datta, A ^{[1
]}

Bhattacharyya, SP

机构：

[1] Texas A&M Univ, Dept Elect Engn, College Stn, TX 77843 USA

[2] Natl Cheng Kung Univ, Dept Engn Sci, Tainan 701, Taiwan

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2000年 / 320卷 / 1-3期

基金：

美国国家科学基金会;

关键词：

Hermite-Biehler theorem; generalized interlacing; complex coefficients; root distribution;

D O I：

10.1016/S0024-3795(00)00191-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Hermite-Biehler theorem gives necessary and sufficient conditions for the Hurwitz stability of a polynomial in terms of certain interlacing conditions. In this paper, we extend our earlier generalization of the Hermite-Biehler theorem for real, not necessarily Hurwitz polynomials to the domain of polynomials with complex coefficients. This result, which is of interest in its own right, can also be used to analytically solve an important stabilization problem in control theory. (C) 2000 Elsevier Science Inc. All rights reserved.

引用

页码：23 / 36

页数：14