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
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.
- Stanisław Białas
- AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow, Poland
- Received: 2004-02-20.