- Tytuł:
- Stability of the convex combination of polynomials
- Autorzy:
- Góra, M.
- Powiązania:
- https://bibliotekanauki.pl/articles/970377.pdf
- Data publikacji:
- 2007
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
Hurwitz stability
Schur stability
roots of polynomials
convex combination of polynomials - Opis:
- In this paper, we consider the convex combination of polynomials. We provide a necessary and sufficient condition for Hurwitz stability of the convex combination of m real polynomials (m ≥ 3) whose degrees may be different and both necessary, and necessary and sufficient conditions for Hurwitz and Schur stability of the convex combination of two complex polynomials. We show also that the convex combination of two polynomials whose degrees are respectively odd and even, is never Schur stable. We give a few examples completing the results.
- Źródło:
-
Control and Cybernetics; 2007, 36, 2; 425-442
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł