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Open problems on Hurwitz polynomials

Baltazar Aguirre Hernández, Carlos Arturo Loredo-Villalobos, Faustino Ricardo García-Sosa
The study of the stability of a linear system of differential equations is carried out by means of analysis of the characteristic polynomial associated with the system. If such polynomial has the property that all its roots have negative real part then the source will be a balancing point asymptotically stable. This class of polynomials receive the name of Hurwitz polynomials. It is interesting to determine whether a polynomial is or is not Hurwitz without calculating their roots. In this paper we present some open problems about Hurwitz polynomials.
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