Précédent : Références Remonter : Projet MIAOU

Abstract

The endeavour of the project is to develop constructive methods in the analysis and optimization of controlled dynamical systems. The main topics presently under investigation are :

• Approximation in the complex domain with applications to the identification and design of linear systems and filters.
  A typical identification problem that we study is: given estimates of a transfer function in a bandwith, we want to find a rational function of given Mac-Millan degree accounting for these data. This issue we approach in two steps:
  (i) a bounded extremal problem that solves for a stable but non-rational transfer function,
  (ii) a rational approximation problem with fixed Mac-Millan degree.
• Control and sructural properties of nonlinear dynamical systems:
  continuous nonlinear stabilization of certain classes of systems that cannot be stabilized, even locally, by linear controls, and study of transformations by dynamic feedback, aiming at obtention of simple normal forms, in particular linear.
• Dynamical games, optimal and robust control.