Jun 26 – 27, 2023
LJLL (Paris 6)
Europe/Paris timezone

Small-time global approximate controllability of bilinear wave equations

Jun 27, 2023, 3:00 PM
1h
LJLL (Paris 6)

LJLL (Paris 6)

Campus Pierre et Marie Curie, 4 place Jussieu, Paris 5ème (entrée par les tours 15 et 16)

Speaker

Eugenio Pozzoli

Description

In this talk we will consider a multi-input bilinear control problem for the wave equation on a torus of arbitrary dimension. We will see that the system is globally approximately controllable in arbitrarily small times, from any initial state with a finite number of active modes. We will also discuss the control strategy, which is explicit, and based on a small-time limit of conjugated dynamics to move along non-directly accessible directions (a.k.a. Lie brackets of the generators).

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