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Analytical foundations of Volterra series
Volterra series operators
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2015/8/13
In this paper we carefully study the analysis involved with Volterra series. We address system-theoretic issues ranging from bounds on the gain and incremental gain of Volterra series operators to the...
Fading memory and the problem of approximating nonlinear operators with Volterra series
Continuous nonlinear operator volterra series operator nonlinear dynamic system
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2015/8/13
Using the notion of fading memory, very strong versions of two theorems are proved. The first is that any time-invariant (TI) continuous nonlinear operator can be approximated by a Volterra series ope...