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- Publisher Website: 10.1002/rnc.4590050303
- Scopus: eid_2-s2.0-84987172528
- WOS: WOS:A1995RA71400002
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Article: A gradient flow approach to the robust pole-placement problem
Title | A gradient flow approach to the robust pole-placement problem |
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Authors | |
Keywords | Pole placement Robustness Gradient |
Issue Date | 1995 |
Publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510 |
Citation | International Journal of Robust and Nonlinear Control, 1995, v. 5 n. 3, p. 175-185 How to Cite? |
Abstract | This paper provides a computational procedure for a type of robust pole-placement problem. By exploiting the differentiability nature of the objective function based on the Frobenius norm condition number, the minimization problem is formulated in terms of a gradient flow to which standard ODE numerical routines can be applied. It is shown that a minimum point exists for the objective function. The algorithm is efficient and faces no singularity problem with the resulting eigenvector matrix. A numerical example is used to illustrate the technique and comparison with other methods is made. |
Persistent Identifier | http://hdl.handle.net/10722/222189 |
ISSN | 2021 Impact Factor: 3.897 2020 SCImago Journal Rankings: 1.361 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Lam, J | - |
dc.contributor.author | Yan, WY | - |
dc.date.accessioned | 2015-12-30T06:39:00Z | - |
dc.date.available | 2015-12-30T06:39:00Z | - |
dc.date.issued | 1995 | - |
dc.identifier.citation | International Journal of Robust and Nonlinear Control, 1995, v. 5 n. 3, p. 175-185 | - |
dc.identifier.issn | 1049-8923 | - |
dc.identifier.uri | http://hdl.handle.net/10722/222189 | - |
dc.description.abstract | This paper provides a computational procedure for a type of robust pole-placement problem. By exploiting the differentiability nature of the objective function based on the Frobenius norm condition number, the minimization problem is formulated in terms of a gradient flow to which standard ODE numerical routines can be applied. It is shown that a minimum point exists for the objective function. The algorithm is efficient and faces no singularity problem with the resulting eigenvector matrix. A numerical example is used to illustrate the technique and comparison with other methods is made. | - |
dc.language | eng | - |
dc.publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510 | - |
dc.relation.ispartof | International Journal of Robust and Nonlinear Control | - |
dc.rights | International Journal of Robust and Nonlinear Control. Copyright © John Wiley & Sons Ltd. | - |
dc.rights | Special Statement for Preprint only Before publication: 'This is a preprint of an article accepted for publication in [The Journal of Pathology] Copyright © ([year]) ([Pathological Society of Great Britain and Ireland])'. After publication: the preprint notice should be amended to follows: 'This is a preprint of an article published in [include the complete citation information for the final version of the Contribution as published in the print edition of the Journal]' For Cochrane Library/ Cochrane Database of Systematic Reviews, add statement & acknowledgement : ‘This review is published as a Cochrane Review in the Cochrane Database of Systematic Reviews 20XX, Issue X. Cochrane Reviews are regularly updated as new evidence emerges and in response to comments and criticisms, and the Cochrane Database of Systematic Reviews should be consulted for the most recent version of the Review.’ Please include reference to the Review and hyperlink to the original version using the following format e.g. Authors. Title of Review. Cochrane Database of Systematic Reviews 20XX, Issue #. Art. No.: CD00XXXX. DOI: 10.1002/14651858.CD00XXXX (insert persistent link to the article by using the URL: http://dx.doi.org/10.1002/14651858.CD00XXXX) (This statement should refer to the most recent issue of the Cochrane Database of Systematic Reviews in which the Review published.) | - |
dc.subject | Pole placement | - |
dc.subject | Robustness | - |
dc.subject | Gradient | - |
dc.title | A gradient flow approach to the robust pole-placement problem | - |
dc.type | Article | - |
dc.identifier.email | Lam, J: james.lam@hku.hk | - |
dc.identifier.authority | Lam, J=rp00133 | - |
dc.identifier.doi | 10.1002/rnc.4590050303 | - |
dc.identifier.scopus | eid_2-s2.0-84987172528 | - |
dc.identifier.hkuros | 2020 | - |
dc.identifier.volume | 5 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 175 | - |
dc.identifier.epage | 185 | - |
dc.identifier.isi | WOS:A1995RA71400002 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 1049-8923 | - |