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Some more comments on "On the Routh-Hurwitz criterion"

M. Rao, P. S. R. S. Rao

Open publisher page 14 citations

Abstract

Recently it was pointed out that the Routh-Hurwitz criterion may fail to give correct root distribution in certain situations. It is demonstrated in this correspondence that the Routh-Hurwitz criterion itself can be used to find out the root distribution correctly in the left-half plane (LHP), on the imaginary axis and in the right-hand plane (RHP) without recourse to finding the common factor between the even and odd parts of a polynomial.

About this research paper

What this paper is about

Recently it was pointed out that the Routh-Hurwitz criterion may fail to give correct root distribution in certain situations. It is demonstrated in this correspondence that the Routh-Hurwitz criterion itself can be used to find out the root distribution correctly in the left-half plane (LHP), on the imaginary axis and in the right-hand plane (RHP) without recourse to finding the common factor between the even and odd parts of a polynomial.

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OpenAlex reports 14 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Recently it was pointed out that the Routh-Hurwitz criterion may fail to give correct root distribution in certain situations. It is demonstrated in this correspondence that the Routh-Hurwitz criterion itself can be used to find out the root distribution correctly in the left-half plane (LHP), on the imaginary axis and in the right-hand plane (RHP) without recourse to finding the common factor between the even and odd parts of a polynomial.

Key concepts: Routh–Hurwitz stability criterion, Complex plane, Hurwitz polynomial, Mathematics, Plane (geometry), Polynomial, Distribution (mathematics), Root (linguistics)

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