Necessary conditions of Hurwitz polynomials

被引:4
作者
Yang, XJ [1 ]
机构
[1] Tsing Hua Univ, Dept Math, Beijing 100084, Peoples R China
关键词
stable polynomials; Hurwitz stability; unstable polynomials;
D O I
10.1016/S0024-3795(02)00432-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we obtain some necessary conditions for a polynomial with positive coefficients to be stable. As consequences, we obtain sufficient conditions for a polynomial to be unstable. The results of this paper generalize the recent results obtained in [Linear Algebra Appl. 338 (2001) 67]. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:21 / 27
页数:7
相关论文
共 3 条
[1]  
Bhattacharyya S., 1995, ROBUST CONTROL PARAM
[2]   Three coefficients of a polynomial can determine its instability [J].
Borobia, A ;
Dormido, S .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2001, 338 :67-76
[3]  
XIE X, 1957, M REP BEIJ