Spectral Factorization of Matrix-Valued Functions Using Interpolation Theory

Tryphon T. Georgiou, Pramod P. Khargonekar

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12 Scopus citations

Abstract

The purpose of this paper is to develop a novel approach to the problem of spectral factorization of matrix-valued functions. The key idea first appeared in Georgiou and Khargonekar [15], [16] where results were obtained for the scalar case. We exploit a version of the Nevanlinna-Pick algorithm that applies to matrix-valued functions and we make use of results in interpolation theory with matrix-valued functions analytic on The unit disc.

Original languageEnglish (US)
Pages (from-to)568-574
Number of pages7
JournalIEEE transactions on circuits and systems
Volume36
Issue number4
DOIs
StatePublished - Apr 1989

Bibliographical note

Funding Information:
October 4, 1988. This work was supported in part by the National Science Foundation under Grant MIP-8708811, under Grant ECS-8705291, under Grant ECS-8451519, and in part by grants from Honey-well, Inc., 3M Corporation, and the MEIS Center at the University of Minnesota. This paper was recommended by Associate Editor R. W.L iu. T. T. Georgiou is with the Department of Electrical and Computer Engineering, Iowa State University, Ames, IA 50011. p. p. uagoneka is with the of Electrical University of Minnesota, Minneapolis, MN 55455. IFEE Log Number 8826274.

Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.

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