Elementary proof of the Routh-Hurwitz test

Gjerrit Meinsma
This note presents an elementary proof of the familiar Routh-Hurwitz test. The proof is basically one continuity argument, it does not rely on Sturm chains, Cauchy index and the principle of the argument and it is fully self contained. In the same style an extended Routh-Hurwitz test is derived, which finds the inertia of polynomials.

Keywords: Routh-Hurwitz test, stability theory
Pdf file: routh_tcns.pdf
BibTex entry
@Article{GjMe95a, author = {G. Meinsma}, title = {Elementary proof of the Routh-Hurwitz test}, journal = {Systems {\&} Control Letters}, year = {1995}, volume = {25}, pages = {237--242} }
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