Laguerre series approximation of infinite dimensional systems

DOI10.1016/0005-1098(90)90083-TzbMath0717.93028OpenAlexW2020896202MaRDI QIDQ2639019

Pertti M. Mäkilä

Publication date: 1990

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(90)90083-t

zbMATH Keywords

Laguerre polynomialsdelay systemsinfinite dimensional systemsLaguerre-Fourier approximationsorthonormal series identification

Mathematics Subject Classification ID

System identification (93B30) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Controllability, observability, and system structure (93B99)

Related Items (15)

Approximation of linear distributed parameter systems by delay systems ⋮ Estimation of model quality ⋮ Rational wavelet decompositions of transfer functions in Hardy-Sobolev classes ⋮ On approximation of stable linear dynamical systems using Laguerre and Kautz functions ⋮ Uniform approximation in \(L[0, \infty)\)-space by Cesàro means of Fourier-Laguerre series ⋮ Uniform approximation of functions belonging to \(L[0,\infty)\)-space using \(C^{\gamma}.T\)-means of Fourier-Laguerre series ⋮ Approximation of stable systems by Laguerre filters ⋮ Approximation of delay systems by Fourier-Laguerre series ⋮ On identification of stable systems and optimal approximation ⋮ Robust identification in \(H_{\infty{}}\) ⋮ A class of algorithms for identification in \(\mathcal H_{\infty}\) ⋮ Laguerre domain identification of continuous linear time-delay systems from impulse response data ⋮ Inverting fractional order transfer functions through Laguerre approximation ⋮ Realization of input-output maps using generalized orthonormal basis functions ⋮ Unnamed Item

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