Fading memory and the problem of approximating nonlinear operators with Volterra series
Fading memory and the problem of approximating nonlinear operators with Volterra series
Using the notion of fading memory we prove very strong versions of two folk theorems. The first is that any time-invariant (TI) continuous nonlinear operator can be approximated by a Volterra series operator, and the second is that the approximating operator can be realized as a finite-dimensional linear dynamical system …