A method for Internally Positive Realization of continuous time systems

被引：2

作者：

Cacace, Filippo ^{[1
]}

Farina, Lorenzo ^{[3
]}

Germani, Alfredo ^{[1
,2
]}

Manes, Costanzo ^{[2
]}

机构：

[1] Univ Campus Biomed Roma, Via Alvaro Portillo 21, I-00128 Rome, Italy

[2] Univ Aquila, Dipartimento Ingn Elettr & Informat, I-67100 Laquila, Italy

[3] Univ Roma La Sapienza, Dipartimento Informat & Sistemist, I-00185 Rome, Italy

来源：

49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2010年

关键词：

COMBINATION;

D O I：

10.1109/CDC.2010.5717901

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：4978 / 4983

页数：6

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