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Conference Paper: On the definiteness of univariate and bivariate two-side matrix polynomials over unitary complex numbers
| Title | On the definiteness of univariate and bivariate two-side matrix polynomials over unitary complex numbers |
|---|---|
| Authors | |
| Keywords | Linear systems LMIs |
| Issue Date | 2014 |
| Publisher | American Automatic Control Council. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000030 |
| Citation | The 2014 American Control Conference (ACC 2014), Portland, OR., 4-6 June 2014. In American Control Conference, 2014, p. 5669-5674 How to Cite? |
| Abstract | Establishing whether a two-side matrix polynomial is definite over unitary complex numbers is an important problem in modeling, analysis and design of control systems. This paper addresses this problem for univariate and bivariate two-side matrix polynomials, i.e., matrix functions that are polynomial in the variables and their inverse. Sufficient and necessary conditions are proposed in terms of linear matrix inequality (LMI) feasibility tests by exploiting trigonometric transformations and the theory of positive polynomials. Some numerical examples illustrate the proposed conditions. © 2014 American Automatic Control Council. |
| Persistent Identifier | http://hdl.handle.net/10722/199368 |
| ISBN | |
| ISSN | 2020 SCImago Journal Rankings: 0.457 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chesi, G | en_US |
| dc.date.accessioned | 2014-07-22T01:15:37Z | - |
| dc.date.available | 2014-07-22T01:15:37Z | - |
| dc.date.issued | 2014 | en_US |
| dc.identifier.citation | The 2014 American Control Conference (ACC 2014), Portland, OR., 4-6 June 2014. In American Control Conference, 2014, p. 5669-5674 | en_US |
| dc.identifier.isbn | 978-1-4799-3274-0 | - |
| dc.identifier.issn | 0743-1619 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/199368 | - |
| dc.description.abstract | Establishing whether a two-side matrix polynomial is definite over unitary complex numbers is an important problem in modeling, analysis and design of control systems. This paper addresses this problem for univariate and bivariate two-side matrix polynomials, i.e., matrix functions that are polynomial in the variables and their inverse. Sufficient and necessary conditions are proposed in terms of linear matrix inequality (LMI) feasibility tests by exploiting trigonometric transformations and the theory of positive polynomials. Some numerical examples illustrate the proposed conditions. © 2014 American Automatic Control Council. | - |
| dc.language | eng | en_US |
| dc.publisher | American Automatic Control Council. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000030 | - |
| dc.relation.ispartof | American Control Conference | en_US |
| dc.subject | Linear systems | - |
| dc.subject | LMIs | - |
| dc.title | On the definiteness of univariate and bivariate two-side matrix polynomials over unitary complex numbers | 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/ACC.2014.6858696 | - |
| dc.identifier.scopus | eid_2-s2.0-84905686784 | - |
| dc.identifier.hkuros | 230398 | en_US |
| dc.identifier.spage | 5669 | en_US |
| dc.identifier.epage | 5674 | en_US |
| dc.publisher.place | United States | - |
| dc.customcontrol.immutable | sml 140822 | - |
| dc.identifier.issnl | 0743-1619 | - |