SPECTRAL FACTORIZATION USING ANALYTIC INTERPOLATION THEORY.

Tryphon T Georgiou; P. P. Khargonekar

SPECTRAL FACTORIZATION USING ANALYTIC INTERPOLATION THEORY.

Tryphon T Georgiou
, P. P. Khargonekar

Electrical and Computer Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

A novel factorization algorithm that is based on linear fractional transformations and the Nevalinna-Pick interpolation theory is presented. The algorithm is recursive and depends on the choice of points (a//k , k equals 1, 2,. . . ), inside the unit disk. The algorithm is quite flexible, and a mild condition on the distribution of the z//k 's ensures its convergence.

Original language	English (US)
Pages (from-to)	7-11
Number of pages	5
Journal	Proceedings of the IEEE Conference on Decision and Control
State	Published - Dec 1 1986

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title = "SPECTRAL FACTORIZATION USING ANALYTIC INTERPOLATION THEORY.",

abstract = "A novel factorization algorithm that is based on linear fractional transformations and the Nevalinna-Pick interpolation theory is presented. The algorithm is recursive and depends on the choice of points (a//k , k equals 1, 2,. . . ), inside the unit disk. The algorithm is quite flexible, and a mild condition on the distribution of the z//k 's ensures its convergence.",

author = "Georgiou, \{Tryphon T\} and Khargonekar, \{P. P.\}",

year = "1986",

month = dec,

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language = "English (US)",

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journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

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T1 - SPECTRAL FACTORIZATION USING ANALYTIC INTERPOLATION THEORY.

AU - Georgiou, Tryphon T

AU - Khargonekar, P. P.

PY - 1986/12/1

Y1 - 1986/12/1

N2 - A novel factorization algorithm that is based on linear fractional transformations and the Nevalinna-Pick interpolation theory is presented. The algorithm is recursive and depends on the choice of points (a//k , k equals 1, 2,. . . ), inside the unit disk. The algorithm is quite flexible, and a mild condition on the distribution of the z//k 's ensures its convergence.

AB - A novel factorization algorithm that is based on linear fractional transformations and the Nevalinna-Pick interpolation theory is presented. The algorithm is recursive and depends on the choice of points (a//k , k equals 1, 2,. . . ), inside the unit disk. The algorithm is quite flexible, and a mild condition on the distribution of the z//k 's ensures its convergence.

UR - https://www.scopus.com/pages/publications/0022955689

UR - https://www.scopus.com/pages/publications/0022955689#tab=citedBy

M3 - Conference article

AN - SCOPUS:0022955689

SN - 0191-2216

SP - 7

EP - 11

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

ER -

SPECTRAL FACTORIZATION USING ANALYTIC INTERPOLATION THEORY.

Abstract

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