Control of the Landau–Lifshitz equation
| dc.contributor.author | Chow, Amenda | |
| dc.contributor.author | Morris, Kirsten | |
| dc.date.accessioned | 2017-08-25T18:20:47Z | |
| dc.date.available | 2017-08-25T18:20:47Z | |
| dc.date.issued | 2016-05 | |
| dc.description | The final publication is available at Elsevier via https://doi.org/10.1016/j.automatica.2016.01.044 © 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | en |
| dc.description.abstract | 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. | en |
| dc.identifier.uri | https://doi.org/10.1016/j.automatica.2016.01.044 | |
| dc.identifier.uri | http://hdl.handle.net/10012/12219 | |
| dc.language.iso | en | en |
| dc.publisher | Elsevier | en |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.subject | Asymptotic stability | en |
| dc.subject | Equilibrium | en |
| dc.subject | Lyapunov function | en |
| dc.subject | Nonlinear control systems | en |
| dc.subject | Partial differential equations | en |
| dc.title | Control of the Landau–Lifshitz equation | en |
| dc.type | Article | en |
| dcterms.bibliographicCitation | Chow, A., & Morris, K. A. (2016). Control of the Landau–Lifshitz equation. Automatica, 67, 200–204. https://doi.org/10.1016/j.automatica.2016.01.044 | en |
| uws.contributor.affiliation1 | Faculty of Mathematics | en |
| uws.contributor.affiliation2 | Applied Mathematics | en |
| uws.peerReviewStatus | Reviewed | en |
| uws.scholarLevel | Faculty | en |
| uws.typeOfResource | Text | en |