DocumentCode
2201021
Title
A new parameterization of stable polynomials
Author
Djaferis, T.E. ; Pepyne, D.L. ; Cushing, D.M.
Author_Institution
Dept. of Electr. & Comput. Eng., Massachusetts Univ., Amherst, MA, USA
Volume
2
fYear
2001
fDate
2001
Firstpage
1549
Abstract
The authors develop a novel characterization of stable polynomials. Specifically, given n positive, ordered numbers (frequencies) we develop a procedure for constructing a stable degree n monic polynomial with real coefficients. This construction can be viewed as a mapping from the space of n ordered frequencies to the space of stable degree n monic polynomials. The mapping is one-to-one and onto, thereby giving a complete parameterization of all stable degree n polynomials. The result is useful in robust control analysis and design
Keywords
optimisation; polynomials; robust control; uncertain systems; complete parameterization; monic polynomials; ordered frequencies; positive ordered numbers; real coefficients; robust control analysis; stable degree; stable polynomial parameterization; Contracts; Equations; Frequency domain analysis; Polynomials; Robust control;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location
Orlando, FL
Print_ISBN
0-7803-7061-9
Type
conf
DOI
10.1109/.2001.981116
Filename
981116
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