DocumentCode
835053
Title
Root distribution of a polynomial in subregions of complex plane
Author
Tsai, Jason S H ; Chen, Shyan S.
Author_Institution
Dept. of Electr. Eng., Nat. Cheng-Kung Univ., Tainan, Taiwan
Volume
38
Issue
1
fYear
1993
fDate
1/1/1993 12:00:00 AM
Firstpage
173
Lastpage
178
Abstract
Modified processes are proposed for directly treating singularities in the Routh array, and procedures are developed for determining the respective orders of simple and/or repeated roots lying on the imaginary axis. The extended Sturm test is developed for determining the root distribution on some specified lines. Moreover, to enhance the Routh stability theorem, the extended Routh theorem for finding the numbers of roots of a polynomial lying within some specified regions is proposed
Keywords
polynomials; Routh array; Routh stability theorem; complex plane; extended Sturm test; imaginary axis; polynomial; repeated roots; root distribution; singularities; Adaptive control; Adaptive systems; Automatic control; Polynomials; Programmable control; Robust control; Stability analysis; Uncertainty;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.186335
Filename
186335
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