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
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2013.2242591
