Control of the Landau–Lifshitz equation
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Date
2016-05
Authors
Chow, Amenda
Morris, Kirsten
Advisor
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
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.
Description
The final publication is available at Elsevier via https://doi.org/10.1016/j.automatica.2016.01.044 © 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Keywords
Asymptotic stability, Equilibrium, Lyapunov function, Nonlinear control systems, Partial differential equations