Routh–Hurwitz theorem

id: routh-hurwitz-theorem-291-9849461
title: Routh–Hurwitz theorem
text: In mathematics, the Routh–Hurwitz theorem gives a test to determine whether all roots of a given polynomial lie in the left half-plane. Polynomials with this property are called Hurwitz stable polynomials. The Routh–Hurwitz theorem is important in dynamical systems and control theory, because the characteristic polynomial of the differential equations of a stable linear system has roots limited to the left half plane. Thus the theorem provides a mathematical test, the Routh–Hurwitz stability cri
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category slug: encyclopedia
description: Mathematical theorem
original url: https://en.wikipedia.org/wiki/Routh%E2%80%93Hurwitz_theorem
date created:
date modified: 2024-01-30T19:57:26Z
main entity: {"identifier":"Q4455015","url":"https://www.wikidata.org/entity/Q4455015"}
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