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217 personnes travaillent au LJLL

83 personnels permanents

47 enseignants chercheurs

13 chercheurs CNRS

9 chercheurs INRIA

2 chercheurs CEREMA

12 ingénieurs, techniciens et personnels administratifs

134 personnels non permanents

85 doctorants

16 post-doc et ATER

5 chaires et délégations

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16 visiteurs

 

Chiffres janvier 2014

 

Marco Mazzola

Lundi 17 décembre 2018

Marco Mazzola (Université Paris Sorbonne)

On the controllability of a set valued evolution.

Résumé :
We consider a controllability problem for the evolution of a set $\Omega(t)\subset\mathbbR^n$. This problem was originally motivated by a model where a dog controls a flock of sheep. Here, $\Omega(t)$ is the region occupied by the sheep and the position of the dog is regarded as a control function. We will discuss necessary conditions and sufficient conditions on the "scare function", for the global exact controllability of the problem. This result is closely related to the approximation of the trajectories of a sweeping process. This talk is based on a joint work with Alberto Bressan and Khai T. Nguyen.