ON A ROOT DISTRIBUTION CRITERION FOR INTERVAL POLYNOMIALS

被引：3

作者：

SOH, CB

机构：

[1] School of Electrical and Electronic Engineering, Nanyang Technological University

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1992年 / 37卷 / 12期

关键词：

D O I：

10.1109/9.182486

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Recently, Kokame and Mori [1] and Soh [2] derived conditions under which an interval polynomial has a given number of roots in the open left-half plane and the other roots in the open right-half plane. However, the ''one-shot-test'' approach using Sylvester's resultant matrices and Bezoutian matrices implies that the implemented conditions are only sufficient (not necessary) for an interval polynomial to have at least one root in the open left-half plane and open right-half plane. This note presents alternative necessary and sufficient conditions, which only require the root locations of four polynomials to check the root distribution of an interval polynomial.

引用

页码：1977 / 1978

页数：2