Control of the Landau-Lifshitz Equation

Amenda Chow; Kirsten A. Morris

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arXiv · 1509.05834

Control of the Landau-Lifshitz Equation

Amenda Chow·Kirsten A. Morris

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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.

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Amenda Chow, Kirsten A. Morris. 2015-09-19. Control of the Landau-Lifshitz Equation. https://arxiv.org/abs/1509.05834

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