Hurwitz rational functions

2010/10/05 by Barkovsky, Yury S., Tyaglov, Mikhail
#15A15 #15B05 #26C05 #26C10 #26C15 #30C15 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1010.0784

Abstract

A generalization of Hurwitz stable polynomials to real rational functions is considered. We establishe an analogue of the Hurwitz stability criterion for rational functions and introduce a new type of determinants that can be treated as a generalization of the Hurwitz determinants.

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