An Elementary Proof of the Routh-Hurwitz Stability Criterion

J.J. Anagnost and Charles A. Desoer

EECS Department
University of California, Berkeley
Technical Report No. UCB/ERL M90/9
January 1990

http://www2.eecs.berkeley.edu/Pubs/TechRpts/1990/ERL-90-9.pdf

This paper presents an elementary proof of the well-known Routh-Hurwitz stability criterion. The novelty of the proof is that it requires only elementary geometric considerations in the complex plane. This feature makes is useful for use in undergraduate control system courses.

BibTeX citation:

@techreport{Anagnost:M90/9,
    Author = {Anagnost, J.J. and Desoer, Charles A.},
    Title = {An Elementary Proof of the Routh-Hurwitz Stability Criterion},
    Institution = {EECS Department, University of California, Berkeley},
    Year = {1990},
    Month = {Jan},
    URL = {http://www2.eecs.berkeley.edu/Pubs/TechRpts/1990/1406.html},
    Number = {UCB/ERL M90/9},
    Abstract = {This paper presents an elementary proof of the well-known Routh-Hurwitz stability criterion.  The novelty of the proof is that it requires only elementary geometric considerations in the complex plane. This feature makes is useful for use in undergraduate control system courses.}
}

EndNote citation:

%0 Report
%A Anagnost, J.J.
%A Desoer, Charles A.
%T An Elementary Proof of the Routh-Hurwitz Stability Criterion
%I EECS Department, University of California, Berkeley
%D 1990
%@ UCB/ERL M90/9
%U http://www2.eecs.berkeley.edu/Pubs/TechRpts/1990/1406.html
%F Anagnost:M90/9