Article: Hilbert-Schmidt-Hankel norm model reduction for matrix second-order linear systems
| Title | Hilbert-Schmidt-Hankel norm model reduction for matrix second-order linear systems |
|---|---|
| Authors | Wang, Q1 2 Zhong, T3 Wong, N1 Wang, Q3 |
| Keywords | Gradient Hilbert-Schmidt-Hankel Norm Matrix Second-Order Linear System Model Reduction |
| Issue Date | 2011 |
| Publisher | Huanan Ligong Daxue. The Journal's web site is located at http://jcta.alljournals.ac.cn/cta_en/ch/index.aspx |
| Citation | Journal Of Control Theory And Applications, 2011, v. 9 n. 4, p. 571-578 [How to Cite?] DOI: http://dx.doi.org/10.1007/s11768-011-9300-6 |
| Abstract | This paper considers the optimal model reduction problem of matrix second-order linear systems in the sense of Hilbert-Schmidt-Hankel norm, with the reduced order systems preserving the structure of the original systems. The expressions of the error function and its gradient are derived. Two numerical examples are given to illustrate the presented model reduction technique. © 2011 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg. |
| Description | The article can be viewed at http://jcta.alljournals.ac.cn/cta_en/ch/reader/view_abstract.aspx?file_no=JCTA09300&flag=1 |
| ISSN | 1672-6340 2011 SCImago Journal Rankings: 0.034 |
| DOI | http://dx.doi.org/10.1007/s11768-011-9300-6 |
| References | References in Scopus |
| dc.contributor.author | Wang, Q |
|---|---|
| dc.contributor.author | Zhong, T |
| dc.contributor.author | Wong, N |
| dc.contributor.author | Wang, Q |
| dc.date.accessioned | 2012-08-08T08:34:52Z |
| dc.date.available | 2012-08-08T08:34:52Z |
| dc.date.issued | 2011 |
| dc.description.abstract | This paper considers the optimal model reduction problem of matrix second-order linear systems in the sense of Hilbert-Schmidt-Hankel norm, with the reduced order systems preserving the structure of the original systems. The expressions of the error function and its gradient are derived. Two numerical examples are given to illustrate the presented model reduction technique. © 2011 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg. |
| dc.description.nature | Link_to_subscribed_fulltext |
| dc.description | The article can be viewed at http://jcta.alljournals.ac.cn/cta_en/ch/reader/view_abstract.aspx?file_no=JCTA09300&flag=1 |
| dc.identifier.citation | Journal Of Control Theory And Applications, 2011, v. 9 n. 4, p. 571-578 [How to Cite?] DOI: http://dx.doi.org/10.1007/s11768-011-9300-6 |
| dc.identifier.citeulike | 10085215 |
| dc.identifier.doi | http://dx.doi.org/10.1007/s11768-011-9300-6 |
| dc.identifier.epage | 578 |
| dc.identifier.hkuros | 209138 |
| dc.identifier.issn | 1672-6340 2011 SCImago Journal Rankings: 0.034 |
| dc.identifier.issue | 4 |
| dc.identifier.scopus | eid_2-s2.0-81855183292 |
| dc.identifier.spage | 571 |
| dc.identifier.uri | http://hdl.handle.net/10722/155699 |
| dc.identifier.volume | 9 |
| dc.language | eng |
| dc.publisher | Huanan Ligong Daxue. The Journal's web site is located at http://jcta.alljournals.ac.cn/cta_en/ch/index.aspx |
| dc.publisher.place | China |
| dc.relation.ispartof | Journal of Control Theory and Applications |
| dc.relation.references | References in Scopus |
| dc.subject | Gradient |
| dc.subject | Hilbert-Schmidt-Hankel Norm |
| dc.subject | Matrix Second-Order Linear System |
| dc.subject | Model Reduction |
| dc.title | Hilbert-Schmidt-Hankel norm model reduction for matrix second-order linear systems |
| dc.type | Article |
Author Affiliations
- The University of Hong Kong
- Sun Yat-Sen University
- South China University of Technology

