A method for Internally Positive Realization of continuous time systems

Author

Cacace, Filippo ; Farina, Lorenzo ; Germani, Alfredo ; Manes, Costanzo

Author_Institution

Univ. Campus Bio-Medico di Roma, Rome, Italy

fYear

2010

fDate

15-17 Dec. 2010

Firstpage

4978

Lastpage

4983

Abstract

The concept of Internally Positive Realization (IPR) of a system generalizes the idea of realization of a generic transfer function through combination of positive filters: an IPR is a positive state space representation, endowed with input, state and output transformations, that realizes the dynamics of a given generic (i.e. with no positivity constraint) system. Techniques for the construction of IPRs of discrete-time linear systems are available in the literature. This paper presents a method for the construction of IPRs for continuous-time systems, and provides a theoretical characterization of the stability of the resulting realization. The results presented are relevant in the field of positive continuous-time systems, like compartmental systems and for the implementation of analog filters using VLSI distributed RC interconnects.

Keywords

continuous time systems; discrete time systems; linear systems; state-space methods; transfer functions; VLSI distributed RC interconnects; analog filters; compartmental systems; continuous time systems; discrete time linear systems; generic transfer function; internally positive realization; state space representation; Eigenvalues and eigenfunctions; Intellectual property; Linear systems; Space stations; Stability analysis; Trajectory; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2010 49th IEEE Conference on

Conference_Location

Atlanta, GA

ISSN

0743-1546

Print_ISBN

978-1-4244-7745-6

Type

conf

DOI

10.1109/CDC.2010.5717901

Filename

5717901