Control of travelling walls in a ferromagnetic nanowire
Optimization and Control
2016-08-16 v2
Abstract
We investigate the problem of controlling the magnetic moment in a ferromagnetic nanowire submitted to an external magnetic field in the direction of the nanowire. The system is modeled with the one dimensional Landau-Lifschitz equation. In the absence of control, there exist particular solutions, which happen to be relevant for practical issues, called travelling walls. In this paper, we prove that it is possible to move from a given travelling wall profile to any other one, by acting on the external magnetic field. The control laws are simple and explicit, and the resulting trajectories are shown to be stable.
Keywords
Cite
@article{arxiv.math/0609231,
title = {Control of travelling walls in a ferromagnetic nanowire},
author = {Gilles Carbou and Stéphane Labbé and Emmanuel Trélat},
journal= {arXiv preprint arXiv:math/0609231},
year = {2016}
}