Stability of the convex combination of polynomials

• Autorzy: Góra M.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Hurwitz stability; Schur stability; roots of polynomials; convex combination of polynomials

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2007
• Tom: Vol. 36, no 2
• Strony: 425--442
• Opis fizyczny: Bibliogr. 11 poz., rys.

Twórcy

autor

Góra M.

• Department of Applied Mathematics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Krakow, Poland

Bibliografia

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