Small-time global approximate controllability of bilinear wave equations
Optimization and Control
2023-05-22 v1 Analysis of PDEs
Abstract
We consider a bilinear control problem for the wave equation on a torus of arbitrary dimension. We show that the system is globally approximately controllable in arbitrarily small times from a dense family of initial states. The control strategy 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).
Keywords
Cite
@article{arxiv.2305.11794,
title = {Small-time global approximate controllability of bilinear wave equations},
author = {Eugenio Pozzoli},
journal= {arXiv preprint arXiv:2305.11794},
year = {2023}
}
Comments
12 pages, 1 figure