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Article: Optimal Hankel-norm approximation of stable systems with first-order stable weighting functions
| Title | Optimal Hankel-norm approximation of stable systems with first-order stable weighting functions |
|---|---|
| Authors | |
| Keywords | Frequency Weighting Hankel-Norm Approximation Order Reduction |
| Issue Date | 1986 |
| Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle |
| Citation | Systems And Control Letters, 1986, v. 7 n. 3, p. 165-172 How to Cite? |
| Abstract | Given a stable rational transfer function G(s) and weighting function W(s), the problem of finding G ̂(s) of MacMillan degree k so as to minimise ∥W(G - G ̂∥H is considered. This problem is solved for W(s) =(s-β)/(s-α) with no assumptions on the signs of α and β. This gives rise to approximations where ∥W(G - G ̂)∥∞ can be accurately bounded from above and below in terms of the Hankel singular values of WG (when α, β > 0). © 1986. |
| Persistent Identifier | http://hdl.handle.net/10722/154858 |
| ISSN | 2023 Impact Factor: 2.1 2023 SCImago Journal Rankings: 1.503 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Hung, YS | en_US |
| dc.contributor.author | Glover, K | en_US |
| dc.date.accessioned | 2012-08-08T08:30:57Z | - |
| dc.date.available | 2012-08-08T08:30:57Z | - |
| dc.date.issued | 1986 | en_US |
| dc.identifier.citation | Systems And Control Letters, 1986, v. 7 n. 3, p. 165-172 | en_US |
| dc.identifier.issn | 0167-6911 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10722/154858 | - |
| dc.description.abstract | Given a stable rational transfer function G(s) and weighting function W(s), the problem of finding G ̂(s) of MacMillan degree k so as to minimise ∥W(G - G ̂∥H is considered. This problem is solved for W(s) =(s-β)/(s-α) with no assumptions on the signs of α and β. This gives rise to approximations where ∥W(G - G ̂)∥∞ can be accurately bounded from above and below in terms of the Hankel singular values of WG (when α, β > 0). © 1986. | en_US |
| dc.language | eng | en_US |
| dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle | en_US |
| dc.relation.ispartof | Systems and Control Letters | en_US |
| dc.subject | Frequency Weighting | en_US |
| dc.subject | Hankel-Norm Approximation | en_US |
| dc.subject | Order Reduction | en_US |
| dc.title | Optimal Hankel-norm approximation of stable systems with first-order stable weighting functions | en_US |
| dc.type | Article | en_US |
| dc.identifier.email | Hung, YS:yshung@eee.hku.hk | en_US |
| dc.identifier.authority | Hung, YS=rp00220 | en_US |
| dc.description.nature | link_to_subscribed_fulltext | en_US |
| dc.identifier.scopus | eid_2-s2.0-0022736940 | en_US |
| dc.identifier.volume | 7 | en_US |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.spage | 165 | en_US |
| dc.identifier.epage | 172 | en_US |
| dc.identifier.isi | WOS:A1986C808100003 | - |
| dc.publisher.place | Netherlands | en_US |
| dc.identifier.scopusauthorid | Hung, YS=8091656200 | en_US |
| dc.identifier.scopusauthorid | Glover, K=7102212001 | en_US |
| dc.identifier.issnl | 0167-6911 | - |