Schur stability of the convex combination of complex polynomials

• Autorzy: Białas S. , Białas M.
• Języki publikacji: EN

Abstrakty

EN

This paper gives a necessary and sufficient condition for Schur stability of the convex combination of complex polynomials. It is a generalization of the work by Ackerman and Barmish (1988).

Słowa kluczowe

EN

Schur stability; robust stability; convex combination of the polynomials

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2010
• Tom: Vol. 39, no 2
• Strony: 551--558
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Białas S.

autor

Białas M.

• The School of Banking and Management, 4 Armii Krajowej St., 30-150 Kraków, Poland,

Bibliografia

• ACKERMAN, J.E. and BARMISH, B.R. (1988) Robust Schur stability of a polytopy of polynomials. IEEE Transaction on Automatic Control 33 (10), 984-986.
• BIALAS, S. (2004) A necessary and sufficient condition for stability of the convex combination of polynomials. Control and Cybernetics 33 (4), 589-597.
• CHOO, Y. and CHOI, G.K. (2007) Schur stability of convex combination of complex polynomials. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E90-A (11), 2612-2615.
• JURY, E.I. (1975) The theory and applications of the inners. Proc. of the IEEE, 63 (7), 1044-1068.
• YANG, S. and HWANG, C. (2001) Testing the robust Schur stability of a segment of complex polynomials. Int. J. of Systems Science 32 (10), 1243-1250.