A sufficient condition for a polynomial to be stable

被引：24

作者：

Katkova, Olga M. ^{[1
]}

Vishnyakova, Anna M. ^{[1
]}

机构：

[1] Kharkov Natl Univ, Dept Math, UA-61077 Kharkov, Ukraine

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 347卷 / 01期

关键词：

Hurwitz polynomial; stable polynomial; location of zeros of real polynomial;

D O I：

10.1016/j.jmaa.2008.05.079

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A real polynomial is called Hurwitz (stable) if all its zeros have negative real parts. For a given n is an element of N we find the smallest possible constant d(n) > 0 such that if the coefficients of F(z) = a(0) + a(1)z + ... + a(n)z(n) are positive and satisfy the inequalities a(k)a(k+1) > d(n)a(k-1)a(k+2) for k = 1, 2, ..., n - 2, then F(z) is Hurwitz. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：81 / 89

页数：9

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