An efficient algorithm for positive realizations

被引：4

作者：

Czaja, Wojciech ^{[2
,3
]}

Jaming, Philippe ^{[4
]}

Matolcsi, Mate ^{[1
]}

机构：

[1] Alfred Renyi Inst Math, H-1053 Budapest, Hungary

[2] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

[3] Univ Maryland, Dept Math, College Pk, MD 20742 USA

[4] Univ Orleans, MAPMO Federat Denis Poisson, F-45067 Orleans, France

来源：

SYSTEMS & CONTROL LETTERS | 2008年 / 57卷 / 05期

关键词：

positive linear systems; discrete time filtering; positive realizations;

D O I：

10.1016/j.sysconle.2007.11.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We observe that successive applications of known results from the theory of positive systems lead to an efficient general algorithm for positive realizations of transfer functions. We give two examples to illustrate the algorithm, one of which complements an earlier result of [L. Benvenuti, L. Farina, An example of how positivity may force realizations of 'large' dimensions, Systems Control Lett. 36 (1999) 261-266]. Finally, we improve a lower-bound of [B. Nagy, M. Matolcsi, A lower-bound on the dimension of positive realizations, IEEE Trans. Circuits Syst. I 50 (2003) 782-784] to indicate that the algorithm is indeed efficient in general. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：436 / 441

页数：6

共 23 条

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

Anderson, BDO ;

Deistler, M ;

Farina, L ;

Benvenuti, L .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1996, 43 (02) :134-142

[2]

ANDERSON BDO, 1997, SYSTEMS CONTROL 21 C

[3] A note on the existence of positive realizations [J].

Astolfi, A ;

Colaneri, P .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 390 :329-343

[4] Tutorial on the positive realization problem [J].

Benvenuti, L ;

Farina, L .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (05) :651-664

[5] The design of fiber-optic filters [J].

Benvenuti, L ;

Farina, L .

JOURNAL OF LIGHTWAVE TECHNOLOGY, 2001, 19 (09) :1366-1375

[6] Filtering through combination of positive filters [J].

Benvenuti, L ;

Farina, L ;

Anderson, BDO .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1999, 46 (12) :1431-1440

[7] An example of how positivity may force realizations of 'large' dimension [J].

Benvenuti, L ;

Farina, L .

SYSTEMS & CONTROL LETTERS, 1999, 36 (04) :261-266

[8] Minimal positive realizations of transfer functions with positive real poles [J].

Benvenuti, L ;

Farina, L ;

Anderson, BDO ;

De Bruyne, F .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (09) :1370-1377

[9] On the existence of a positive realization [J].

Farina, L .

SYSTEMS & CONTROL LETTERS, 1996, 28 (04) :219-226

[10]

FARINA L, 2000, PUR AP M-WI, P3

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