Nonlinear System Identification Based on a Fock Space Framework
de Figueiredo, Rui J.P.
nonlinear systems; system identification; remote sensing; estimation theory; optimization; approximation theory; Fock spaces; Volterra functionals
A method is presented for the identification of a nonlinear system represented by an operator V:E->Y, where the input space E is a separable Hilbert space over the field of complex numbers and the output space Y is the Sobolev space H<sup>2</sup><sub>n</sub>(1) of complex-valued functions y on an interval I of the real line such that d<sup>,</sup>y/dt<sup>k</sup>, k=0,...,n-1, are absolutely continuous and d<sup>n</sup>y/dt<sup>n</sup>∈L<sup>2</sup>(I)....
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