Modeling nonlinear systems using the tensor network B‐spline and the multi‐innovation identification theory (Q6069269)

scientific article; zbMATH DE number 7779540

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English	Modeling nonlinear systems using the tensor network B‐spline and the multi‐innovation identification theory	scientific article; zbMATH DE number 7779540

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instance of

scholarly article

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title

Modeling nonlinear systems using the tensor network B‐spline and the multi‐innovation identification theory (English)

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International Journal of Robust and Nonlinear Control

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publication date

16 December 2023

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zbMATH Keywords

B-spline

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multi-innovation identification theory

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NARX system

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online identification

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tensor network

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MaRDI profile type

MaRDI publication profile

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cites work

Separable multi-innovation Newton iterative modeling algorithm for multi-frequency signals based on the sliding measurement window

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Auxiliary model-based least-squares identification methods for Hammerstein output-error systems

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Construction of dual \(B\)-spline functions

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Airplane designing using quadratic trigonometric B-spline with shape parameters

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The B-spline recurrence relations of Chakalov and of Popoviciu

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Auxiliary model multiinnovation stochastic gradient parameter estimation methods for nonlinear sandwich systems

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Wavelet basis expansion-based Volterra kernel function identification through multilevel excitations

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Nonlinear system identification with regularized tensor network B-splines

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Matrix output extension of the tensor network Kalman filter with an application in MIMO Volterra system identification

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Tensor networks for MIMO LPV system identification

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Tensor-Train Decomposition

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Parameter estimation for block‐oriented nonlinear systems using the key term separation

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Three‐stage forgetting factor stochastic gradient parameter estimation methods for a class of nonlinear systems

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Combined parameter and output estimation of dual-rate systems using an auxiliary model

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Hierarchical Least Squares Identification for Linear SISO Systems With Dual-Rate Sampled-Data

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An efficient hierarchical identification method for general dual-rate sampled-data systems

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Data-driven recursive least squares methods for non-affined nonlinear discrete-time systems

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Two‐stage auxiliary model gradient‐based iterative algorithm for the input nonlinear controlled autoregressive system with variable‐gain nonlinearity

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Parameter estimation of dual-rate stochastic systems by using an output error method

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Maximum likelihood extended gradient‐based estimation algorithms for the input nonlinear controlled autoregressive moving average system with variable‐gain nonlinearity

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Partially Coupled Stochastic Gradient Identification Methods for Non-Uniformly Sampled Systems

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Parameter estimation with scarce measurements

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Performance analysis of multi-innovation gradient type identification methods

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Parameter estimation for nonlinear Volterra systems by using the multi-innovation identification theory and tensor decomposition

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Tensor Networks for Dimensionality Reduction and Large-scale Optimization: Part 1 Low-Rank Tensor Decompositions

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The Alternating Linear Scheme for Tensor Optimization in the Tensor Train Format

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Nonlinear System Identification

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Partially-coupled nonlinear parameter optimization algorithm for a class of multivariate hybrid models

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Model recovery for multi-input signal-output nonlinear systems based on the compressed sensing recovery theory

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Decomposition strategy-based hierarchical least mean square algorithm for control systems from the impulse responses

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Hierarchical least squares parameter estimation algorithm for two-input Hammerstein finite impulse response systems

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A chaotic strategy-based quadratic opposition-based learning adaptive variable-speed whale optimization algorithm

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Complex Dynamics of a Four-Dimensional Circuit System

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A recursive parameter estimation algorithm for modeling signals with multi-frequencies

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Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling

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Adaptive parameter estimation for a general dynamical system with unknown states

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Recursive parameter estimation methods and convergence analysis for a special class of nonlinear systems

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State estimation for bilinear systems through minimizing the covariance matrix of the state estimation errors

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Highly computationally efficient state filter based on the delta operator

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A true three-scroll chaotic attractor coined

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A stable and efficient technique for linear boundary value problems by applying kernel functions

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Reproducing kernel functions based univariate spline interpolation

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Superconvergent kernel functions approaches for the second kind Fredholm integral equations

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Identifiers

zbMATH Open document ID

1528.93083

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DOI

10.1002/rnc.6221

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6069269