DocumentCode :
848519
Title :
The negative Routh test and its application to the cases of vanishing leading elements and imaginary roots
Author :
Feinstein, J.
Author_Institution :
Escola Federal de Engenharia de Itajubá, Brazil
Volume :
30
Issue :
2
fYear :
1985
fDate :
2/1/1985 12:00:00 AM
Firstpage :
164
Lastpage :
165
Abstract :
The ordinary Routh test furnishes in a straightforward manner the number 
of positive roots of a polynomial of degree 
. A modification that allows one to obtain the number 
of negative roots in the same way is presented. Thus, the number ro of (purely) imaginary roots is immediately found as 
. The modified test is especially useful when there is a first column vanishing element.
of positive roots of a polynomial of degree . A modification that allows one to obtain the number of negative roots in the same way is presented. Thus, the number r . The modified test is especially useful when there is a first column vanishing element.Keywords :
Poles and zeros; Routh methods; Automatic control; Filters; Lead; Linear matrix inequalities; Matrices; Polynomials; Riccati equations; Testing;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1985.1103897
Filename :
1103897
Link To Document :
