Control of parameter dependent systems: how to compute greedy, ensemble or averaged controls?

Date/heure
7 juin 2022
10:45 - 11:45

Lieu
Salle de conférences Nancy

Oratrice ou orateur
Jérôme Lohéac (CRAN)

Catégorie d'évènement
Séminaire Équations aux Derivées Partielles et Applications (Nancy)


Résumé

In this talk I will provide an overview on the problem of controllability of parameter dependent systems. I will explore different control notions successfully developed through the last decade.
The aim of the control function is to steer the system to a state satisfying some properties prescribed either at some time instant T>0 or during a given time interval. These properties may be separated with respect to parameter values and can refer just to a single system itself (e.g. greedy control), or may consider solutions corresponding to the whole parameter range (e.g. ensemble control, averaged control). In the latter case control functions are designed as parameter invariant, implying a same control is to be applied to the system independently of a particular realization of the parameter, while in the first case controls vary along with the parameter. Beside the positive theoretical results, for each notion we provide a computational algorithm.