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

• Autorzy: Białas S.
• Języki publikacji: EN

Abstrakty

EN

This paper gives a necessary and sufficient condition for the Hurwitz (Schur) stability of the convex combination of the complex polynomials f1(x),f2(x),...,fm(x). It provides a generalization of the Ackermann, Barmish (1988). Barlett, Hollot, Huang (1988) and Bialas (1985).

Słowa kluczowe

EN

Hurwitz stability; Schur stability; convex combination of polynomials

PL

stabilność Hurwitza; stabilność Schura; kombinacja wypukła wielomianów

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2004
• Tom: Vol. 33, no 4
• Strony: 589--597
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Białas S.

• Department of Mathematics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Cracow, Poland,

Bibliografia

• Ackermann, J. and Barmish, B.R. (1988) Robust Schur stability of a polytope of polynomials. IEEE Trans. Automat. Contr. 33 (10), 984-986.
• Bartlett, A.C., Hollot, C.V. and Huang, L. (1988) Root locations of an entire polytope of polynomials: It suffices to check the edges. Mathematics of Control, Signals and Systems1, 61-71.
• Białas, S. (1985) A necessary and sufficient condition for the stability of convex combinations of stable polynomials or matrices. Bull. Polish Acad. Sci., Tech. Sci. 33 (9-10), 473-480.