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

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

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.