Sophie TARBOURIECH
France
This talk proposes an overview on the use of a class of sign-indefinite quadratic Lyapunov functions comprising an extended quadratic form. We will first discuss stability/performance analysis results certified by these functions in linear saturated feedbacks in both local or global stability contexts.The direct design of linear plant-order saturated output-feedback controllers will be presented. Furthermore, we will then illustrate how the technique can be extended to deal with different nonlinearities and to handle other kinds of problems as for example the contraction problem or the way to deal with optimization algorithms.
Sophie Tarbouriech, born in Carcassonne, France, is a prominent control theorist specializing in linear and nonlinear control systems, particularly those with constraints such as limited information. She earned her Ph.D. in Control Theory in 1991 and her Habilitation à Diriger des Recherches in 1998 from Toulouse III - Paul Sabatier University. Currently, she serves as a Director of Research at the French National Centre for Scientific Research (CNRS), affiliated with the Laboratory for Analysis and Architecture of Systems (LAAS) in Toulouse. Her research interests encompass hybrid dynamical systems, with practical applications ranging from aircraft landing control to surgical anesthesia. Dr. Tarbouriech has held editorial roles, including Associate Editor positions for IEEE Transactions on Automatic Control, Automatica, and the European Journal of Control, as well as Senior Editor for IEEE Control Systems Letters. In recognition of her significant contributions to nonlinear control systems, she was named an IEEE Fellow in 2024.