Optimal mathematical models for nonlinear dynamical systems
Date
2003
Authors
Torokhti, A.
Howlett, P.
Pearce, C.
Editors
Advisors
Journal Title
Journal ISSN
Volume Title
Type:
Journal article
Citation
Mathematical and Computer Modelling of Dynamical Systems, 2003; 9(3):327-343
Statement of Responsibility
Conference Name
Abstract
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 approximating model. The method provides a numerically realisable mathematical model of the system. An analysis is given of the error associated with this representation.
School/Discipline
Dissertation Note
Provenance
Description
© Swets & Zeitlinger
Access Status
Rights
Copyright status unknown