Fading Memory and the Problem of Approximating Nonlinear Operators with Volterra Series

Abstract

Ahsfract-Using the notion of fading memory we prove very strong versions of two folk theorems. The first is that any time-inuariant (TZ) con~inuou.r nonlinear operator can be approximated by a Volterra series operator, and the second is that the approximating operator can be realized as a finiiedimensional linear dynamical system with a nonlinear readout… (More)

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@inproceedings{Boyd1985FadingMA, title={Fading Memory and the Problem of Approximating Nonlinear Operators with Volterra Series}, author={Stephen Boyd}, year={1985} }