Nonlinear system identification: A user-oriented road map

J Schoukens, L Ljung - IEEE Control Systems Magazine, 2019 - ieeexplore.ieee.org
Nonlinear system identification is an extremely broad topic, since every system that is not
linear is nonlinear. That makes it impossible to give a full overview of all aspects of the fi eld …

Nonlinear system identification of neural systems from neurophysiological signals

F He, Y Yang - Neuroscience, 2021 - Elsevier
The human nervous system is one of the most complicated systems in nature. Complex
nonlinear behaviours have been shown from the single neuron level to the system level. For …

[HTML][HTML] Deep subspace encoders for nonlinear system identification

GI Beintema, M Schoukens, R Tóth - Automatica, 2023 - Elsevier
Abstract Using Artificial Neural Networks (ANN) for nonlinear system identification has
proven to be a promising approach, but despite of all recent research efforts, many practical …

[HTML][HTML] Deep networks for system identification: a survey

G Pillonetto, A Aravkin, D Gedon, L Ljung, AH Ribeiro… - Automatica, 2025 - Elsevier
Deep learning is a topic of considerable current interest. The availability of massive data
collections and powerful software resources has led to an impressive amount of results in …

Low-rank tensor decompositions for nonlinear system identification: A tutorial with examples

K Batselier - IEEE Control Systems Magazine, 2022 - ieeexplore.ieee.org
Tensor decompositions can be a powerful tool when faced with the curse of dimensionality
and have been applied in myriad applications. Their application to problems in the control …

Kernel-based methods for Volterra series identification

A Dalla Libera, R Carli, G Pillonetto - Automatica, 2021 - Elsevier
Volterra series approximate a broad range of nonlinear systems. Their identification is
challenging due to the curse of dimensionality: the number of model parameters grows …

Adaptive regularised kernel-based identification method for large-scale systems with unknown order

J Chen, Y Mao, M Gan, F Ding - Automatica, 2022 - Elsevier
Regularised kernel-based identification methods are widely used for large-scale systems
with the aim of reducing high parameter estimation variances. Classical diagonal and …

The occupation kernel method for nonlinear system identification

JA Rosenfeld, B Russo, R Kamalapurkar… - arXiv preprint arXiv …, 2019 - arxiv.org
This manuscript presents a novel approach to nonlinear system identification leveraging
densely defined Liouville operators and a new" kernel" function that represents an …

Deep prediction networks

A Dalla Libera, G Pillonetto - Neurocomputing, 2022 - Elsevier
The challenge for next generation system identification is to build new flexible models and
estimators able to simulate complex systems. This task is especially difficult in the nonlinear …

Sequential stabilizing spline algorithm for linear systems: Eigenvalue approximation and polishing

J Chen, Y Liu, M Gan, Q Zhu - Automatica, 2024 - Elsevier
The sequential stabilizing spline (SSS) algorithm is a remarkable algorithm for identifying
linear dynamical systems. It can guarantee the stability of an estimated model by polishing …