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Control of the Landau–Lifshitz equation

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ChowMorris-preprint.pdf (1.37 MB)

Date

2016-05

Authors

Chow, Amenda
Morris, Kirsten

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

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Citation

URI

https://doi.org/10.1016/j.automatica.2016.01.044
 http://hdl.handle.net/10012/12219

Collections

Waterloo Research
Applied Mathematics