In this seminar, the Loewner framework is presented as a central element bridging the realization theory with data, rational function-based approximation and identification. The presentation is divided in three parts: (1) elements on linear dynamical systems are recalled, (2) the Loewner realization minimality is stated and, finally, (3) the Loewner barycentric form is presented along with its extension to linear parametric modeling. Each part is illustrated with didactic dynamical system examples, ranging from applied mathematics to classical engineering.
Lieu : Grande salle de réunions à l'ONERA, dans la coursive du bâtiment R à Toulouse ; lien visio https://rdv.onera.fr/seminaireDTIS.