Optimal Mathematical Models for Nonlinear Dynamical Systems

@article{Torokhti2003OptimalMM,
title={Optimal Mathematical Models for Nonlinear Dynamical Systems},
author={A. Torokhti and P. Howlett and C. Pearce},
journal={Mathematical and Computer Modelling of Dynamical Systems},
year={2003},
volume={9},
pages={327 - 343}
}

Mathematical and Computer Modelling of Dynamical Systems

We propose a new method for the optimal causal representation of nonlinear systems. The proposed approach is based on the best constrained approximation of mappings in probability spaces by operators constructed from matrices of special form so that the approximant preserves the causality property. It is supposed that the observable input is contaminated with noise. The approximant minimises the mean-square difference between a desired output signal and the output signal of the approximatingâ€¦Â Expand