An easy-to-compute factorization of rational generalized positive functions

Daniel Alpay; Izchak Lewkowicz

doi:10.1016/j.sysconle.2010.06.001

An easy-to-compute factorization of rational generalized positive functions

Daniel Alpay
, Izchak Lewkowicz

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We give a simple constructive proof of a factorization theorem for scalar rational functions with a non-negative real part on the imaginary axis. A Mathematica program, performing this factorization, is provided.

Original language	English
Pages (from-to)	517-521
Number of pages	5
Journal	Systems and Control Letters
Volume	59
Issue number	9
DOIs	https://doi.org/10.1016/j.sysconle.2010.06.001
State	Published - 1 Sep 2010

Keywords

Carathodory functions
Cauer classes
Convex invertible cones of rational functions
Positive real functions

ASJC Scopus subject areas

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

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10.1016/j.sysconle.2010.06.001

Cite this

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title = "An easy-to-compute factorization of rational generalized positive functions",

abstract = "We give a simple constructive proof of a factorization theorem for scalar rational functions with a non-negative real part on the imaginary axis. A Mathematica program, performing this factorization, is provided.",

keywords = "Carathodory functions, Cauer classes, Convex invertible cones of rational functions, Positive real functions",

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T1 - An easy-to-compute factorization of rational generalized positive functions

AU - Alpay, Daniel

AU - Lewkowicz, Izchak

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N2 - We give a simple constructive proof of a factorization theorem for scalar rational functions with a non-negative real part on the imaginary axis. A Mathematica program, performing this factorization, is provided.

AB - We give a simple constructive proof of a factorization theorem for scalar rational functions with a non-negative real part on the imaginary axis. A Mathematica program, performing this factorization, is provided.

KW - Carathodory functions

KW - Cauer classes

KW - Convex invertible cones of rational functions

KW - Positive real functions

UR - https://www.scopus.com/pages/publications/77956395372

U2 - 10.1016/j.sysconle.2010.06.001

DO - 10.1016/j.sysconle.2010.06.001

M3 - Article

AN - SCOPUS:77956395372

SN - 0167-6911

VL - 59

SP - 517

EP - 521

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 9

ER -

An easy-to-compute factorization of rational generalized positive functions

Abstract

Keywords

ASJC Scopus subject areas

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