Research edition 04 / 20 October 2026
Fading memory and the problem of approximating nonlinear operators with Volterra series
Approximation theorems under fading-memory assumptions. Approximation is not exact identity; positive damping alone is not a proof for every driven oscillator.
Source and scope
Stephen Boyd; Leon O. Chua · 1985 · IEEE Transactions on Circuits and Systems 32
Approximation theorems under fading-memory assumptions. Approximation is not exact identity; positive damping alone is not a proof for every driven oscillator.
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Use in this edition
Passage audit / 20 October 2026
Full-text passage checked. IEEE paper pp.1153–1154, Theorem 1 and Section V.
Approximation by Volterra Series
Approximation under fading-memory and input-class assumptions, not exact identity with an arbitrary finite filter.