  The Landau-Lifshitz equation is a coupled set of nonlinear partial
differential equations that describes the dynamics of magnetization in a
ferromagnet. This equation has an infinite number of stable equilibria.
Steering the system from one equilibrium to another is a problem of both
theoretical and practical interest. Since the objective is to steer between
equilibria, approaches based on linearization are not appropriate. It is proven
that affine proportional control can be used to steer the system from an
arbitrary initial state, including an equilibrium point, to a specified
equilibrium point. The second point becomes a globally asymptotically stable
equilibrium of the controlled system. The control also removes hysteresis from
the Landau-Lifshitz equation. These results are illustrated with simulations.
