The mathematical foundations of associated expansions for mildly nonlinear systems

DOI10.1109/TCS.1983.1085387zbMath0664.93033MaRDI QIDQ3815955

Sandberg, Irwin W.

Publication date: 1983

Published in: IEEE Transactions on Circuits and Systems (Search for Journal in Brave)

zbMATH Keywords

nonlinear systemsalmost periodic functionscontinuous-timeVolterra-like input-output expansion

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (14)

On Convergence of Volterra Series Expansion of a Class of Nonlinear Systems ⋮ Criteria for the stability of p-linear maps and p-powers ⋮ Unnamed Item ⋮ Structural classification of multi-input nonlinear systems ⋮ Frequency-dependent magnitude bounds of the generalized frequency response functions for NARX model ⋮ Frequency domain analysis for non-linear Volterra systems with a general non-linear output function ⋮ Mapping from parametric characteristics to generalized frequency response functions of non-linear systems ⋮ Structure theorems for nonlinear systems ⋮ Nonlinear influence in the frequency domain: alternating series ⋮ Approximate observability of infinite dimensional bilinear systems using a Volterra series expansion ⋮ Z+ fading memory and extensions of input-output maps ⋮ Determination of the analytical parametric relationship for output spectrum of Volterra systems based on its parametric characteristics ⋮ Separation conditions and approximation of discrete-time and discrete-space systems ⋮ Advances in Lee-Dchetzen method for Volterra filter identification

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