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A survey of nonlinear system identification algorithms and related topics is presented by extracting significant results from the literature and presenting these in an organised and systematic way. Algorithms based on the functional expansions of Weiner and Volterra, the identification of block oriented and bilinear systems, the selection of input signals, structure detection, parameter estimation and recent results from catastrophe theory are included. The limitations, relationships and applicability of the methods are discussed throughout.
S.A. Billings (Sat,) studied this question.
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