REMARKS ON REDUNDANCE IN STABILITY-CRITERIA AND A COUNTEREXAMPLE TO FULLERS CONJECTURE

被引：6

作者：

ARAPOSTATHIS, A ^{[1
]}

JURY, EI ^{[1
]}

机构：

[1] UNIV CALIF BERKELEY,ELECTR RES LAB,BERKELEY,CA 94720

来源：

INTERNATIONAL JOURNAL OF CONTROL | 1979年 / 29卷 / 06期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1080/00207177908922747

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

It is shown that the [n(n+ 1)f2] conditions for stability in the left-half plane as well as inside the unit circle as given by Routh and J ury-Gutrnan, can be reduced raepoe. tively to ([n(n- 1)/2]+I) and ([n(n -1)/2] + 2) conditions. Furthermore, a counterexample of sixth degree polynomial to Fuller’s conjecture of a conditiona is obtained. Finally. methods for obtaining polynomials for root-pair-sums, foot-pair-product and polynomials having as roots the negative of squares of root-pair-differences (needed for aperiodicity conditions) are obtained. © 1979 Taylor & Francis Group, LLC.

引用

页码：1027 / 1034

页数：8