Nonlinear dynamics isolated by delaunay triangulation criteria [Elektronisk resurs] / David Lindgren, Lennart Ljung

• Inspired by an idea by Q. Zhang, we show that Delaunay triangulation of data points sampled from a system with an additive nonlinearity gives a criterion by which a linear projection can be found that isolates the nonlinear dependence, leaving out the linear one. This isolation means the nonlinear modeling can be confined to a regressor space of lower dimensionality, which in turn means over-parameterization can be avoided. Monte Carlo simulations indicate that a particular criterion built on triangle asymmetries has a minimum that coincides with the sampled system nonlinear part. The criterion is however complex to compute and non-convex, which makes it difficult to optimize globally. 

Indexterm och SAB-rubrik

Identification Delaunay triangulation Nonlinear modeling Monte Carlo simulation