Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
697240 | Automatica | 2008 | 5 Pages |
Abstract
We present a method that–given a data set, a finitely parametrized system of ordinary differential equations (ODEs), and a search space of parameters–discards portions of the search space that are inconsistent with the model ODE and data. The method is completely rigorous as it is based on validated integration of the vector field. As a consequence, no consistent parameters can be lost during the pruning phase. For data sets with moderate levels of noise, this yields a good reconstruction of the underlying parameters. Several examples are included to illustrate the merits of the method.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Tomas Johnson, Warwick Tucker,