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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series S Année : 2008

Control of travelling walls in a ferromagnetic nanowire

Résumé

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.
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Dates et versions

hal-00092133 , version 1 (08-09-2006)
hal-00092133 , version 2 (22-09-2006)

Identifiants

Citer

Gilles Carbou, Stéphane Labbé, Emmanuel Trélat. Control of travelling walls in a ferromagnetic nanowire. Discrete and Continuous Dynamical Systems - Series S, 2008, 1 (1), pp.51-59. ⟨10.3934/dcdss.2008.1.51⟩. ⟨hal-00092133v2⟩
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