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18 juin 2009 - Conférence du Dr G. Chesi


Le 18 juin prochain a 17h00, au PLT-1120 (Pavillon Pouliot, Université Laval), la Section IEEE de Québec
en collaboration avec le Département de génie électrique et de génie informatique
présentera la conférence du Dr. Chesi intitulée :

Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems

Résumé: 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. The content of this talk can be found in our book "Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems" (Springer, 2009, in press).

Biographie du Dr Chesi: Graziano Chesi received the Laurea degree in Information Engineering from the University of Firenze (1997), and the Ph.D. in Systems Engineering from the University of Bologna (2001). He was a visiting scientist at the University of Cambridge (1999-2000) and University of Tokyo (2001-2004), where he held fellowships from the European Union and Japanese Society for the Promotion of Science. He was with the University of Siena (2000-2006), and then he joined the Department of Electrical and Electronic Engineering of the University of Hong Kong (2006). Dr. Chesi was the recipient of the Best Student Award of the Faculty of Engineering of the University of Firenze in 1997. He is an Associate Editor of Automatica, an Associate Editor of the IEEE Transactions on Automatic Control, and a Guest Editor of the Special Issue on ``Positive Polynomials in Control'' of the IEEE Transactions on Automatic Control. His research interests include computer vision, nonlinear systems, optimization, robotics, robust control, and systems biology.

Date: 18 juin 2009 à 17h00

Lieu: Salle 1120 (PavillonPouliot, Université Laval)

Coût: gratuit, aucune réservation nécessaire, on conseille cependant d’envoyer un courriel d’intérêt à


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