Identification and analysis of spatio-temporal dynamical systems using wavelets

Authors:
L. Z. Guo;S. A. Billings
Affiliations:
Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield S1 3JD, UK;Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield S1 3JD, UK
Venue:
International Journal of Systems Science
Year:
2008

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Abstract

In this article, the identification and analysis of spatio-temporal dynamical systems is presented. An approximated B-spline wavelet representation of spatio-temporal dynamical systems is identified using an orthogonal least-squares algorithm from measured data. Control variables are incorporated to represent controlled external inputs and/or some system parameters for the purpose of analysis. The identified system models can be used to evaluate how the external inputs or system parameters affect the evolution of the spatio-temporal dynamics and pattern formation. Two examples are used to illustrate the proposed approach.