Title
Root distribution of a polynomial in subregions of complex plane
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.
Year
DOI
Venue
1993
10.1109/9.186335
Automatic Control, IEEE Transactions  
Keywords
DocType
Volume
Polynomials,Adaptive control,Automatic control,Programmable control,Robust control,Uncertainty,Stability analysis,Adaptive systems
Journal
38
Issue
ISSN
Citations 
1
0018-9286
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
J. S. H. Tsai110112.46
S. S. Chen210.82