Opuscula Mathematica
Opuscula Math. 25, no. 2 (2005), 165-168

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

Stanisław Białas
Abstract. In the paper are given a necessary and sufficient condition for \(\sigma\)-Hurwitz stability of the convex combination of the polynomials.
Keywords: convex sets of polynomials, stability of polynomial, Hurwitz stability, \(\sigma\)-stability.
Mathematics Subject Classification: 93D09, 15A63.
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Stanisław Białas
AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow, Poland
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Received: 2004-02-20.
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Stanisław Białas, A necessary and sufficient condition for σ-Hurwitz stability of the convex combination of the polynomials, Opuscula Math. 25, no. 2 (2005), 165-168, http://dx.doi.org/10.7494/OpMath.2005.25.2.165.
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