A note on the optimal expansion of Volterra models using Laguerre functions

DOI10.1016/J.AUTOMATICA.2005.12.003zbMath1114.93043OpenAlexW2054106012MaRDI QIDQ856520

Gérard Favier, Ricardo J. G. B. Campello, Wagner Caradori do Amaral

Publication date: 7 December 2006

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2005.12.003

zbMATH Keywords

optimizationLaguerre functionsVolterra seriesnon-linear systemsModel reduction

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Minimal systems representations (93B20)

Related Items (6)

Magnitude bounds of generalized frequency response functions for nonlinear Volterra systems described by NARX model ⋮ An optimal expansion of Volterra models using independent Kautz bases for each kernel dimension ⋮ Nonlinear system modeling and identification using Volterra‐PARAFAC models ⋮ Choice of free parameters in expansions of discrete-time Volterra models using Kautz functions ⋮ An improved global harmony search algorithm for the identification of nonlinear discrete-time systems based on Volterra filter modeling ⋮ Impulse response function identification of linear mechanical systems based on Kautz basis expansion with multiple poles

Cites Work

• Approximation of stable systems by Laguerre filters
• Optimal expansions of discrete-time Volterra models using Laguerre functions
• An optimum time scale for discrete Laguerre network
• Fading memory and the problem of approximating nonlinear operators with Volterra series
• System identification using Laguerre models
• Optimum Laguerre networks for a class of discrete-time systems
• Optimum choice of free parameter in orthonormal approximations
• Discrete Orthonormal Sequences
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