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Conference Paper: On the positivity of polynomials on the complex unit disc via LMIs
| Title | On the positivity of polynomials on the complex unit disc via LMIs |
|---|---|
| Authors | |
| Keywords | Linear system Discrete time Transfer function Positivity LMI |
| Issue Date | 2012 |
| Publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000225 |
| Citation | The 25th IEEE Canadian Conference on Electrical and Computer Engineering (CCECE 2012), Montreal, QC., 29 April-2 May 2012. In IEEE Canadian Conference on Electrical and Computer Engineering Proceedings, 2012 How to Cite? |
| Abstract | Investigating positivity of polynomials over the complex unit disc is a relevant problem in electrical and computer engineering. This paper provides two sufficient and necessary conditions for solving this problem via linear matrix inequalities (LMIs). These conditions are obtained by exploiting trigonometric transformations, a key tool for the representation of polynomials, and results from the theory of positive polynomials. Some numerical examples illustrate the proposed conditions. © 2012 IEEE. |
| Persistent Identifier | http://hdl.handle.net/10722/153078 |
| ISBN | |
| ISSN | 2023 SCImago Journal Rankings: 0.197 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chesi, G | en_US |
| dc.date.accessioned | 2012-07-16T09:55:45Z | - |
| dc.date.available | 2012-07-16T09:55:45Z | - |
| dc.date.issued | 2012 | en_US |
| dc.identifier.citation | The 25th IEEE Canadian Conference on Electrical and Computer Engineering (CCECE 2012), Montreal, QC., 29 April-2 May 2012. In IEEE Canadian Conference on Electrical and Computer Engineering Proceedings, 2012 | en_US |
| dc.identifier.isbn | 978-1-4673-1433-6 | - |
| dc.identifier.issn | 0840-7789 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/153078 | - |
| dc.description.abstract | Investigating positivity of polynomials over the complex unit disc is a relevant problem in electrical and computer engineering. This paper provides two sufficient and necessary conditions for solving this problem via linear matrix inequalities (LMIs). These conditions are obtained by exploiting trigonometric transformations, a key tool for the representation of polynomials, and results from the theory of positive polynomials. Some numerical examples illustrate the proposed conditions. © 2012 IEEE. | - |
| dc.language | eng | en_US |
| dc.publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000225 | - |
| dc.relation.ispartof | IEEE Canadian Conference on Electrical and Computer Engineering Proceedings | en_US |
| dc.subject | Linear system | - |
| dc.subject | Discrete time | - |
| dc.subject | Transfer function | - |
| dc.subject | Positivity | - |
| dc.subject | LMI | - |
| dc.title | On the positivity of polynomials on the complex unit disc via LMIs | en_US |
| dc.type | Conference_Paper | en_US |
| dc.identifier.email | Chesi, G: chesi@eee.hku.hk | en_US |
| dc.identifier.authority | Chesi, G=rp00100 | en_US |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1109/CCECE.2012.6334819 | - |
| dc.identifier.scopus | eid_2-s2.0-84870449629 | - |
| dc.identifier.hkuros | 201444 | en_US |
| dc.publisher.place | United States | - |
| dc.customcontrol.immutable | sml 140318 | - |
| dc.identifier.issnl | 0840-7789 | - |