A necessary and sufficient condition for σ-Hurwitz stability of the convex combination of the polynomials

In the paper are given a necessary and sufficient condition for \(\sigma\)-Hurwitz stability of the convex combination of the polynomials.

Bibliographic Details
Main Author: Stanisław Białas
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2005-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol25/2/art/opuscula_math_2509.pdf
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author Stanisław Białas
author_facet Stanisław Białas
author_sort Stanisław Białas
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description In the paper are given a necessary and sufficient condition for \(\sigma\)-Hurwitz stability of the convex combination of the polynomials.
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spelling doaj.art-5e12034be2804765b27e7b073e7c84542022-12-21T17:48:57ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742005-01-012521651682509A necessary and sufficient condition for σ-Hurwitz stability of the convex combination of the polynomialsStanisław Białas0AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow, PolandIn the paper are given a necessary and sufficient condition for \(\sigma\)-Hurwitz stability of the convex combination of the polynomials.http://www.opuscula.agh.edu.pl/vol25/2/art/opuscula_math_2509.pdfconvex sets of polynomialsstability of polynomialHurwitz stability\(\sigma\)-stability
spellingShingle Stanisław Białas
A necessary and sufficient condition for σ-Hurwitz stability of the convex combination of the polynomials
Opuscula Mathematica
convex sets of polynomials
stability of polynomial
Hurwitz stability
\(\sigma\)-stability
title A necessary and sufficient condition for σ-Hurwitz stability of the convex combination of the polynomials
title_full A necessary and sufficient condition for σ-Hurwitz stability of the convex combination of the polynomials
title_fullStr A necessary and sufficient condition for σ-Hurwitz stability of the convex combination of the polynomials
title_full_unstemmed A necessary and sufficient condition for σ-Hurwitz stability of the convex combination of the polynomials
title_short A necessary and sufficient condition for σ-Hurwitz stability of the convex combination of the polynomials
title_sort necessary and sufficient condition for σ hurwitz stability of the convex combination of the polynomials
topic convex sets of polynomials
stability of polynomial
Hurwitz stability
\(\sigma\)-stability
url http://www.opuscula.agh.edu.pl/vol25/2/art/opuscula_math_2509.pdf
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AT stanisławbiałas necessaryandsufficientconditionforshurwitzstabilityoftheconvexcombinationofthepolynomials