Internally Positive Representation of a Class of Continuous Time Systems

被引：26

作者：

Cacace, Filippo ^{[1
]}

Farina, Lorenzo ^{[2
]}

Germani, Alfredo ^{[1
,3
]}

Manes, Costanzo ^{[3
,4
]}

机构：

[1] Campus Biomed Roma, I-00128 Rome, Italy

[2] Univ Roma La Sapienza, Dipartimento Ingn Informat Automat & Gestionale A, I-00185 Rome, Italy

[3] Univ Aquila, Dipartimento Ingn & Sci Informaz, I-67100 Laquila, Italy

[4] CNR, Ist Anal Sistemi & Informat A Ruberti, I-00185 Rome, Italy

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2012年 / 57卷 / 12期

关键词：

Internally positive representation (IPR); linear systems; positive systems; state-space realization; REALIZATION; COMBINATION; EXISTENCE;

D O I：

10.1109/TAC.2012.2199172

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 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.

引用

页码：3158 / 3163

页数：6

共 25 条

[1] Nonnegative realization of a linear system with nonnegative impulse response [J].