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Conference Paper: BALANCED REALISATION AND HANKEL-NORM APPROXIMATION OF SYSTEMS INVOLVING DELAYS.
| Title | BALANCED REALISATION AND HANKEL-NORM APPROXIMATION OF SYSTEMS INVOLVING DELAYS. |
|---|---|
| Authors | |
| Issue Date | 1986 |
| Citation | Proceedings Of The Ieee Conference On Decision And Control, 1986, p. 1810-1815 How to Cite? |
| Abstract | Approximation of the transfer functions G(s)e** minus S**T (with G(s) rational) is considered via the singular values, sigma //i, of its Hankel operator. It is shown how to calculate sigma //i and the corresponding Schmidt vectors for this class of transfer functions. Then bounds on the singular values of more general Hankel operators are derived, giving asymptotic estimates for the sigma //i. The results can be used to construct balanced realizations or Hankel norm approximations. |
| Persistent Identifier | http://hdl.handle.net/10722/158885 |
| ISSN | 2020 SCImago Journal Rankings: 0.395 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Glover, K | en_US |
| dc.contributor.author | Lam, J | en_US |
| dc.contributor.author | Partington, JR | en_US |
| dc.date.accessioned | 2012-08-08T09:04:22Z | - |
| dc.date.available | 2012-08-08T09:04:22Z | - |
| dc.date.issued | 1986 | en_US |
| dc.identifier.citation | Proceedings Of The Ieee Conference On Decision And Control, 1986, p. 1810-1815 | en_US |
| dc.identifier.issn | 0191-2216 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10722/158885 | - |
| dc.description.abstract | Approximation of the transfer functions G(s)e** minus S**T (with G(s) rational) is considered via the singular values, sigma //i, of its Hankel operator. It is shown how to calculate sigma //i and the corresponding Schmidt vectors for this class of transfer functions. Then bounds on the singular values of more general Hankel operators are derived, giving asymptotic estimates for the sigma //i. The results can be used to construct balanced realizations or Hankel norm approximations. | en_US |
| dc.language | eng | en_US |
| dc.relation.ispartof | Proceedings of the IEEE Conference on Decision and Control | en_US |
| dc.title | BALANCED REALISATION AND HANKEL-NORM APPROXIMATION OF SYSTEMS INVOLVING DELAYS. | en_US |
| dc.type | Conference_Paper | en_US |
| dc.identifier.email | Lam, J:james.lam@hku.hk | en_US |
| dc.identifier.authority | Lam, J=rp00133 | en_US |
| dc.description.nature | link_to_subscribed_fulltext | en_US |
| dc.identifier.scopus | eid_2-s2.0-0022985126 | en_US |
| dc.identifier.spage | 1810 | en_US |
| dc.identifier.epage | 1815 | en_US |
| dc.identifier.scopusauthorid | Glover, K=7102212001 | en_US |
| dc.identifier.scopusauthorid | Lam, J=7201973414 | en_US |
| dc.identifier.scopusauthorid | Partington, JR=7006605884 | en_US |
| dc.identifier.issnl | 0191-2216 | - |