Control of the Landau-Lifshitz Equation
Optimization and Control
2015-09-29 v2 Analysis of PDEs
Dynamical Systems
Abstract
The Landau--Lifshitz equation describes the dynamics of magnetization inside a ferromagnet. This equation is nonlinear and has an infinite number of stable equilibria. It is desirable to control the system from one equilibrium to another. A control that moves the system from an arbitrary initial state, including an equilibrium point, to a specified equilibrium is presented. It is proven that the second point is an asymptotically stable equilibrium of the controlled system. The results are illustrated with some simulations.
Keywords
Cite
@article{arxiv.1509.05834,
title = {Control of the Landau-Lifshitz Equation},
author = {Amenda Chow and Kirsten A. Morris},
journal= {arXiv preprint arXiv:1509.05834},
year = {2015}
}