On Controllability of a Two-Dimensional Network of Ferromagnetic Ellipsoidal Samples

被引:0
|
作者
Shruti Dubey
Sharad Dwivedi
机构
[1] Indian Institute of Technology Madras,Department of Mathematics
[2] SRM Institute of Science and Technology,SRM Research Institute and Department of Mathematics
来源
Differential Equations and Dynamical Systems | 2019年 / 27卷
关键词
Ferromagnetic material; Landau–Lifschitz equation; Micromagnetics; Control; Primary: 93B05; 35Q93; 93C10; Secondary: 35K55;
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中图分类号
学科分类号
摘要
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.
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页码:277 / 297
页数:20
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