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Minimal Positive Realizations of Transfer Functions with Positive Real Poles

Date

2000

Authors

Benvenuti, Luca
Farina, L
Anderson, Brian
De Bruyne, Franky

Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Electrical and Electronics Engineers (IEEE Inc)

Abstract

A standard result of linear-system theory states that a SISO rational nth-order transfer function always has an nth-order realization. In some applications, one is interested in having a realization with nonnegative entries (i.e., a positive system) and it is known that a positive system may not be minimal in the usual sense. In this paper, we give an explicit necessary and sufficient condition for a third-order transfer function with distinct real positive poles to have a third-order positive realization. The proof is constructive so that it is straightforward to obtain a minimal positive realization.

Description

Keywords

Keywords: Electric charge; Electric filters; Poles and zeros; Transfer functions; Minimal positive realization; Positive systems; System theory

Citation

Source

IEEE Transactions on Circuits and Systems 1:FUNDAMENTAL THEORY AND APPLICATIONS

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1109/81.883332

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