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

Opuscula Mathematica

# 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