# 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

1990

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}, URL = {http://www.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://www.eecs.berkeley.edu/Pubs/TechRpts/1990/1406.html %F Anagnost:M90/9