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On Controllability of a Two-Dimensional Network of Ferromagnetic Ellipsoidal Samples
Published in Springer (India) Private Ltd.
2019
Volume: 27
   
Issue: 1-3
Pages: 277 - 297
Abstract
In this article, we address the problem of stability and controllability of two-dimensional network of ferromagnetic particles of ellipsoidal shapes. The dynamics of magnetization inside the ferromagnetic material is governed by the Landau–Lifschitz equation of micromagnetism which is non-linear and parabolic in nature. The control is the magnetic field generated by a dipole whose position and amplitude can be selected. In the absence of control, first we prove the exponential stability of the relevant configurations of the network. Then, we investigate the controllability by the means of external magnetic field induced by the magnetic dipole. © 2018, Foundation for Scientific Research and Technological Innovation.
About the journal
JournalData powered by TypesetDifferential Equations and Dynamical Systems
PublisherData powered by TypesetSpringer (India) Private Ltd.
ISSN09713514
Open AccessNo