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Conference Paper: Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems
Title | Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems |
---|---|
Authors | |
Issue Date | 2009 |
Publisher | IEEE. |
Citation | Seminar by the IEEE Ottawa Reliability Society and Algonquin College Student Branch (IEEE Ottawa Section), Ottawa, Canada, 15 June 2009 How to Cite? |
Abstract | The stability and performance analysis of dynamic systems affected by structured
uncertainties usually requires the solution of non-convex optimization problems. A possible way to tackle
such problems is to construct a family of convex relaxations which provide upper or lower bounds to the
solution of the original problem. In this talk, convex relaxations for several robustness problems are
presented by exploiting classical results and providing new insights on the theory of homogeneous
polynomial forms. In particular, a general framework is introduced for dealing with positivity of forms
via the solution of linear matrix inequalities, which are a special class of convex problems. Lyapunov
analysis of uncertain systems affected by time-invariant or time-varying uncertainty, computation of the
parametric robust stability margin, robust performance analysis for polytopic systems, are examples of
problems addressed within the proposed framework. This talk is based on the new book 'Homogeneous
Polynomial Forms for Robustness Analysis of Uncertain Systems' by G. Chesi et al. (Springer, 2009, in
press) |
Persistent Identifier | http://hdl.handle.net/10722/253076 |
DC Field | Value | Language |
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dc.contributor.author | Chesi, G | - |
dc.date.accessioned | 2018-05-11T03:30:36Z | - |
dc.date.available | 2018-05-11T03:30:36Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Seminar by the IEEE Ottawa Reliability Society and Algonquin College Student Branch (IEEE Ottawa Section), Ottawa, Canada, 15 June 2009 | - |
dc.identifier.uri | http://hdl.handle.net/10722/253076 | - |
dc.description.abstract | The stability and performance analysis of dynamic systems affected by structured uncertainties usually requires the solution of non-convex optimization problems. A possible way to tackle such problems is to construct a family of convex relaxations which provide upper or lower bounds to the solution of the original problem. In this talk, convex relaxations for several robustness problems are presented by exploiting classical results and providing new insights on the theory of homogeneous polynomial forms. In particular, a general framework is introduced for dealing with positivity of forms via the solution of linear matrix inequalities, which are a special class of convex problems. Lyapunov analysis of uncertain systems affected by time-invariant or time-varying uncertainty, computation of the parametric robust stability margin, robust performance analysis for polytopic systems, are examples of problems addressed within the proposed framework. This talk is based on the new book 'Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems' by G. Chesi et al. (Springer, 2009, in press) | - |
dc.language | eng | - |
dc.publisher | IEEE. | - |
dc.relation.ispartof | Seminar by the IEEE Ottawa Reliability Society and Algonquin College Student Branch, IEEE Ottawa Section | - |
dc.rights | Seminar by the IEEE Ottawa Reliability Society and Algonquin College Student Branch, IEEE Ottawa Section. Copyright © IEEE. | - |
dc.rights | ©20xx IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | - |
dc.title | Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Chesi, G: chesi@eee.hku.hk | - |
dc.identifier.authority | Chesi, G=rp00100 | - |
dc.identifier.hkuros | 157797 | - |
dc.publisher.place | Ottawa, Canada | - |