Internally Positive Representation of a Class of Continuous Time Systems

Author

Cacace, Filippo ; Farina, L. ; Germani, Alfredo ; Manes, Costanzo

Volume

57

Issue

12

fYear

2012

Firstpage

3158

Lastpage

3163

Abstract

The problem of realizing arbitrary transfer functions as combinations of positive filters, or, more in general, of representing arbitrary systems by means of Internally Positive Representations (IPRs), has been widely investigated in the discrete-time framework. An IPR is a positive state-space representation, endowed with input, state and output transformations, that realizes arbitrary input-state-output dynamics. This technical note investigates the problem of the IPR construction for continuous-time systems, and proposes a technique that provides stable IPRs for a particular class of systems.

Keywords

continuous time systems; filtering theory; state-space methods; transfer functions; IPR; arbitrary input-state-output dynamics; arbitrary systems; arbitrary transfer functions; continuous time systems; discrete-time framework; input transformations; internally positive representation; output transformations; positive filters; positive state-space representation; state transformations; Eigenvalues and eigenfunctions; Equations; Intellectual property; Linear systems; Stability analysis; Trajectory; Transfer functions; Internally positive representation (IPR); linear systems; positive systems; state-space realization;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2012.2199172

Filename

6199964