Nonnegative realizations of matrix transfer functions
type: Item
instance of: scholarly article
title: Nonnegative realizations of matrix transfer functions
zbMATH Open document ID: 0989.93016
DOI: 10.1016/S0024-3795(00)00076-8
author: Béla Nagy
author: K.-H. Förster
published in: Linear Algebra and its Applications
publication date: 2002-08-05T00:00:00Z
review text: This paper is an important contribution to the theory concerning nonnegative realizability of matrix transfer functions. The main result characterizes the nonnegative realizability of a scalar-valued transfer function with the help of primitive transfer functions and is extended to the general case of matrix-valued transfer functions. In it there is also an algorithm for establishing whether a scalar-valued transfer function with nonnegative impulse function has a nonnegative realization. The paper is clearly written, and its relation to the existing literature is clearly indicated.
Mathematics Subject Classification ID: 93B15
zbMATH DE Number: 1462179
zbMATH Keywords: nonnegative realizability
zbMATH Keywords: primitive transfer functions
reviewed by: Johannes W. Nieuwenhuis
MaRDI profile type: Publication
cites work: Q3996218
cites work: Q3943082
cites work: Polyhedral cones and positive operators
cites work: On the existence of a positive realization
cites work: Q4380659
cites work: Spectral properties of rational matrix functions with nonnegative realizations
cites work: Q5508985
cites work: Q5808729
cites work: Q3748420
cites work: Q5526485
cites work: Q4039989
cites work: Reachability, Observability, and Realizability of Continuous-Time Positive Systems
cites work: Q5635302
cites work: On linear recursions with nonnegative coefficients
cites work: Q5613420
cites work: Q3998903
cites work: On the Core of a Cone-Preserving Map
cites work: Realization of positive linear systems
Wikidata QID: Q126557101
description: scientific article; zbMATH DE number 1462179