DocumentCode
1502110
Title
Spectral factorization of matrix-valued functions using interpolation theory
Author
Georgiou, Tryphon T. ; Khargonekar, Pramod P.
Author_Institution
Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA, USA
Volume
36
Issue
4
fYear
1989
fDate
4/1/1989 12:00:00 AM
Firstpage
568
Lastpage
574
Abstract
An approach is developed for the spectral factorization of matrix-valued functions. The key idea was first introduced by Georgiou and Khargonekar (see IEEE Trans. Automat. Contr., vol. AC-31, p.345-348, 1986, and SIAM J. Contr. Opt., vol.25, no.3, p.754-766, 1987) where results were obtained for the scalar case. A version of the Nevanlinna-Pick algorithm that applies to matrix-valued functions is used, and results in interpolation theory with matrix-valued functions analytic on the unit disk are incorporated
Keywords
interpolation; matrix algebra; Nevanlinna-Pick algorithm; interpolation theory; matrix-valued functions; scalar case; spectral factorization; unit disk; Algorithm design and analysis; Circuits and systems; Convergence; Hydrogen; Interpolation; Optimal control; Polynomials; Scattering; Stochastic processes;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/31.92889
Filename
92889
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