Control of a network of magnetic ellipsoidal samples
Shruti Agarwal, Gilles Carbou, Stéphane Labbé, Christophe Prieur, ,IMB, Université Bordeaux, 351 cours la Libération, 33405 Talence, ,Laboratoire Jean Kuntzmann, Université de Grenoble, Tour IRMA, 51 rue des Mathématiques, BP 53, 38041 Grenoble Cedex 9 · Mathematical Control and Related Fields · 2011
In this work, we present a mathematical study of stability andcontrollability of one-dimensional network of ferromagneticparticles. The control is the magnetic field generated by a dipole whose position and whose amplitude can be selected. The evolution of the magnetic field in the network of particles is described by the Landau-Lifschitz equation. First, we model a network of ellipsoidal shapeferromagnetic particles. Then, we prove the stability of relevantconfigurations and discuss the controllability by the means of theexternal magnetic field induced by the magnetic dipole.Finally somenumerical results illustrate the stability and the controllability results.