Header

UZH-Logo

Maintenance Infos

Output feedback pole assignment for transfer functions with symmetries


Helmke, U; Rosenthal, J; Wang, X (2006). Output feedback pole assignment for transfer functions with symmetries. SIAM Journal on Control and Optimization, 45(5):1898-1914.

Abstract

This paper studies the problem of pole assignment for symmetric and Hamiltonian transfer functions. A necessary and sufficient condition for pole assignment by complex symmetric output feedback transformations is given. Moreover, in the case where the McMillan degree coincides with the number of parameters appearing in the symmetric feedback transformations, we derive an explicit combinatorial formula for the number of pole assigning symmetric feedback gains. The proof uses intersection theory in projective space as well as a formula for the degree of the complex Lagrangian Grassmann manifold.
©2006 Society for Industrial and Applied Mathematics

Abstract

This paper studies the problem of pole assignment for symmetric and Hamiltonian transfer functions. A necessary and sufficient condition for pole assignment by complex symmetric output feedback transformations is given. Moreover, in the case where the McMillan degree coincides with the number of parameters appearing in the symmetric feedback transformations, we derive an explicit combinatorial formula for the number of pole assigning symmetric feedback gains. The proof uses intersection theory in projective space as well as a formula for the degree of the complex Lagrangian Grassmann manifold.
©2006 Society for Industrial and Applied Mathematics

Statistics

Citations

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

Altmetrics

Downloads

72 downloads since deposited on 11 Jan 2010
5 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
Language:English
Date:2006
Deposited On:11 Jan 2010 16:31
Last Modified:05 Apr 2016 13:24
Publisher:Society for Industrial and Applied Mathematics
ISSN:0363-0129
Additional Information:Copyright © 2006, Society for Industrial and Applied Mathematics
Publisher DOI:https://doi.org/10.1137/050644276
Related URLs:http://arxiv.org/abs/math/0511112

Download

Preview Icon on Download
Preview
Filetype: PDF (Verlags-PDF)
Size: 1MB
View at publisher
Preview Icon on Download
Preview
Content: Accepted Version
Filetype: PDF
Size: 227kB

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations