Header

UZH-Logo

Maintenance Infos

Realization by inspection


Rosenthal, J; Schumacher, J (1997). Realization by inspection. IEEE Transactions on Automatic Control, 42(9):1257-1263.

Abstract

We investigate which first-order representations can be obtained from high-order representations of linear systems “by inspection”, that is, just by rearrangement of the data. Under quite weak conditions it is possible to obtain minimal realizations in the so-called pencil form; under stronger conditions one can obtain minimal realizations in standard state-space form by inspection. The development is based on a reformulation of the realization problem as a problem of finding a complete set of basis vectors for the nullspace of a given constant matrix. Since no numerical computation is needed, the realization method in particular is suitable for situations in which some of the coefficients are symbolic rather than numerical

Abstract

We investigate which first-order representations can be obtained from high-order representations of linear systems “by inspection”, that is, just by rearrangement of the data. Under quite weak conditions it is possible to obtain minimal realizations in the so-called pencil form; under stronger conditions one can obtain minimal realizations in standard state-space form by inspection. The development is based on a reformulation of the realization problem as a problem of finding a complete set of basis vectors for the nullspace of a given constant matrix. Since no numerical computation is needed, the realization method in particular is suitable for situations in which some of the coefficients are symbolic rather than numerical

Statistics

Citations

18 citations in Web of Science®
18 citations in Scopus®
Google Scholar™

Altmetrics

Downloads

32 downloads since deposited on 16 Mar 2010
6 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:basis vectors , first-order representations , high-order representations , linear systems , minimal realizations , nullspace , pencil form , state-space form , weak conditions
Language:English
Date:1997
Deposited On:16 Mar 2010 11:16
Last Modified:06 Dec 2017 20:58
Publisher:IEEE
ISSN:0018-9286
Additional Information:© [1997] IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE
Publisher DOI:https://doi.org/10.1109/9.623088

Download

Download PDF  'Realization by inspection'.
Preview
Filetype: PDF
Size: 1MB
View at publisher