Control of the Landau–Lifshitz equation

Amenda Chow ^[1] ; Kirsten A. Morris ^[1]
1. [1] University of Waterloo
  
  University of Waterloo
  
  Canadá
Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 67, 2016, págs. 200-204
Idioma: inglés
Texto completo no disponible (Saber más ...)
Resumen
- 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.