DocumentCode
26130
Title
The Routh-Hurwitz Stability Criterion, Revisited: The Case of Multiple Poles on Imaginary Axis
Author
Choghadi, M.A. ; Talebi, H.A.
Author_Institution
Amirkabir Univ. of Technol., Tehran, Iran
Volume
58
Issue
7
fYear
2013
fDate
Jul-13
Firstpage
1866
Lastpage
1869
Abstract
This technical note presents a relation between the number of zero rows (rows with all zero elements) in the Routh array and the multiplicity of jω-axis poles. The main result of the technical note is that the existence of more than one zero row in the Routh array amounts to instability of the system irrespective of any sign change in the first column.
Keywords
Routh methods; arrays; control system analysis; poles and towers; stability criteria; Routh array; Routh-Hurwitz stability criterion; imaginary axis; jω-axis pole multiplicity; system instability; zero rows; Arrays; Control systems; Educational institutions; Poles and zeros; Polynomials; Stability criteria; Control systems; Routh-Hurwitz criterion; marginal stability; multiple poles on $ mbi{jomega} $ -axis;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2013.2242591
Filename
6419766
Link To Document