Domain of Attraction

Graziano Chesi received the Laurea degree in Information Engineering from the University of Firenze (Italy) in 1997, and the Ph.D. in Systems Engineering from the University of Bologna (Italy) in 2001. He was a visiting scientist at the Department of Engineering of the University of Cambridge (UK) in the period 1999-2000. He held fellowships from the Japanese Society for the Promotion of Science and the European Union at the Department of Information Physics and Computing of the University of Tokyo (Japan) in the period 2001-2004. He was a Research Associate and an Assistant Professor at the Department of Information Engineering of the University of Siena (Italy) in the period 2000-2006. In 2006 he joined the Department of Electrical and Electronic Engineering of the University of Hong Kong (Hong Kong). 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 of the IEEE Transactions on Automatic Control on “Positive Polynomials in Control”. His research interests include computer vision, nonlinear systems, optimization, robotics, robust control, and systems biology.

SOS Polynomials.- Optimization with SOS Polynomials.- Preliminaries of Nonlinear Systems.- Domain of Attraction in Polynomial Systems.- Domain of Attraction in Uncertain Polynomial Systems.- Domain of Attraction in Non-polynomial Systems.- Domain of Attraction via Multiple Lyapunov Function.- Miscellaneous.