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

• Autorzy: Białas S.
• Języki publikacji: EN

Abstrakty

EN

In the paper are given a necessary and sufficent condition for sigma-Hurwitz stability of the convex combination of the polynomials.

Słowa kluczowe

EN

convex sets of polynomials; stability of polynomial; Hurwitz stability; sigma-stability

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2005
• Tom: Vol. 25, no. 2
• Strony: 165--168
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Białas S.

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

Bibliografia

• [1] Bartlett A. C., Hollot C.V., Huang L.: Root locations for an entire polytope of polynomials: it sufficient to check the edges. Mathematics of Control, Signals and Systems 1 (1988), 61-71.
• [2] Bhattacharyya S.P., Chapellat H., Kell L.H.: Robust Control: The Parametric Approach. New Jersey, Prentice Hall Inc. 1995.
• [3] Białas S.: A necessary and sufficient condition for the stability of convex combi­nations of stable polynomials or matrices. Bull. Polish Acad. Sci., Tech. Sci. 33 (1985), 9-10, 473-480.