Discrete-time system modelling in \(L_{p}\) with orthonormal basis functions

DOI10.1016/S0167-6911(99)00116-4zbMath0948.93003OpenAlexW2032287821MaRDI QIDQ1978758

Hüseyin Akçay

Publication date: 4 June 2000

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(99)00116-4

zbMATH Keywords

completenessmodel reductionFourier seriesorthonormal basis functionsapproximation linear systems

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Trigonometric approximation (42A10) System structure simplification (93B11)

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A class of iterative greedy algorithms related to Blaschke product ⋮ A stochastic analysis of robust estimation algorithms inH_∞with rational basis functions ⋮ Squared and absolute errors in optimal approximation of nonlinear systems. ⋮ MONO-COMPONENT DECOMPOSITION OF SIGNALS BASED ON BLASCHKE BASIS ⋮ A frequency-domain iterative identification algorithm using general orthogonal basis functions ⋮ Control synthesis for a class of nonlinear systems based on partition of unity ⋮ Convergence of the Cesàro mean for rational orthonormal bases ⋮ On linear models for nonlinear systems ⋮ Estimation of extremal properties in non-negative networks

Cites Work

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• Rational basis functions for robust identification from frequency and time-domain measurements
• Best constant inequalities for conjugate functions
• Rational wavelet decompositions of transfer functions in Hardy-Sobolev classes
• On approximation of stable linear dynamical systems using Laguerre and Kautz functions
• Orthonormal basis functions for modelling continuous-time systems
• System identification using Laguerre models
• System identification using Kautz models
• Interpolation in Normed Spaces from the Values of Linear Functionals
• A unifying construction of orthonormal bases for system identification
• A Construction of Rational Wavelets and Frames in Hardy--Sobolev Spaces With Applications to System Modeling
• Frequency domain identification with generalized orthonormal basis functions
• Synthesis of Electric Networks by Means of the Fourier Transforms of Laguerre's Functions
• Identification of rational approximate models in H/sup /spl infin// using generalized orthonormal basis
• A generalized orthonormal basis for linear dynamical systems
• Robust identification in the disc algebra using rational wavelets and orthonormal basis functions
• Subspace-based multivariable system identification from frequency response data
• Discrete Orthonormal Sequences