Control of the Landau-Lifshitz equation

被引：2
|
作者：
Chow, Amenda [1 ]
Morris, Kirsten A. [1 ]
机构：
[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
来源：
AUTOMATICA | 2016年 / 67卷
关键词：
Asymptotic stability; Equilibrium; Lyapunov function; Nonlinear control systems; Partial differential equations; STABILITY; NANOWIRES;
D O I：
10.1016/j.automatica.2016.01.044
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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. (C) 2016 Elsevier Ltd. All rights reserved.
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页码：200 / 204
页数：5
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