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20182026
most citedKoopman Form of Nonlinear Systems with Inputs

55 citations · 137 across the 38 of their papers we have counts for

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37 papers · 1 filter

eess.SY2026

Robust Space-Filling Input Design via Stochastic Optimization

Máté Kiss, Roland Tóth, Maarten Schoukens

The space-filling input design approach generates a so-called space-filling dataset in the feature space of the system model. The design method is applicable on a broad class of mo…

eess.SY2026

Online learning of neural state-space models

Bendegúz Györök, Tamás Péni, Maarten Schoukens +1

Recent advances in deep-learning-based nonlinear system identification have led to encoder-based estimation of neural state-space (ANN-SS) models that achieve state-of-the-art perf…

eess.SY2026

Efficient Learning of Affine and Rational Dependency LPV Models With Linear Fractional Representation

Roel Drenth, Jan H. Hoekstra, Maarten Schoukens +1

Identifying control-friendly models of nonlinear systems remains one of the major challenges at the intersection of system identification and control. The Linear Parameter-Varying…

eess.SY2026

Learning-based augmentation of first-principle models: A linear fractional representation-based approach

Jan H. Hoekstra, Bendegúz M. Györök, Roland Tóth +1

Nonlinear system identificationhas proven to be effective in obtaining accurate models from data for complex real-world systems. In particular, recent encoder-based methods with ar…

eess.SY2026

Encoder initialisation methods in the model augmentation setting

J. H. Hoekstra, B. Györök, R. Töth +1

Nonlinear system identification (NL-SI) has proven to be effective in obtaining accurate models for highly complex systems. Recent encoder-based methods for artificial neural netwo…

eess.SY2026

Improved Initialization for Port-Hamiltonian Neural Network Models

G. J. E. van Otterdijk, S. Weiland, M. Schoukens

Port-Hamiltonian neural networks have shown promising results in the identification of nonlinear dynamics of complex systems, as their combination of physical principles with data-…

eess.SY2025

Orthogonal-by-construction augmentation of physics-based input-output models

Bendegúz M. Györök, Maarten Schoukens, Tamás Péni +1

This paper proposes a novel orthogonal-by-construction parametrization for augmenting physics-based input-output models with a learning component in an additive sense. The parametr…

eess.SY2025

Exact Finite Koopman Embedding of Block-Oriented Polynomial Systems

Lucian Cristian Iacob, Roland Tóth, Maarten Schoukens

The challenge of finding exact and finite-dimensional Koopman embeddings of nonlinear systems has been largely circumvented by employing data-driven techniques to learn models of d…

eess.SY2025

Learning Koopman Models From Data Under General Noise Conditions

Lucian Cristian Iacob, Máté Szécsi, Gerben Izaak Beintema +2

This paper presents a novel identification approach of Koopman models of nonlinear systems with inputs under rather general noise conditions. The method uses deep state-space encod…

eess.SY2025

On Space-Filling Input Design for Nonlinear Dynamic Model Learning: A Gaussian Process Approach

Yuhan Liu, Máté Kiss, Roland Tóth +1

While optimal input design for linear systems has been well-established, no systematic approach exists for nonlinear systems where robustness to extrapolation/interpolation errors…

eess.SY2024

Learning Subsystem Dynamics in Nonlinear Systems via Port-Hamiltonian Neural Networks

G. J. E. van Otterdijk, S. Moradi, S. Weiland +3

Port-Hamiltonian neural networks (pHNNs) are emerging as a powerful modeling tool that integrates physical laws with deep learning techniques. While most research has focused on mo…

eess.SY2024

Physics-Guided State-Space Model Augmentation Using Weighted Regularized Neural Networks

Yuhan Liu, Roland Tóth, Maarten Schoukens

Physics-guided neural networks (PGNN) is an effective tool that combines the benefits of data-driven modeling with the interpretability and generalization of underlying physical in…

eess.SY2024

Space-Filling Input Design for Nonlinear State-Space Identification

Máté Kiss, Roland Tóth, Maarten Schoukens

The quality of a model resulting from (black-box) system identification is highly dependent on the quality of the data that is used during the identification procedure. Designing e…

eess.SY2024

Baseline Results for Selected Nonlinear System Identification Benchmarks

Max D. Champneys, Gerben I. Beintema, Roland Tóth +2

Nonlinear system identification remains an important open challenge across research and academia. Large numbers of novel approaches are seen published each year, each presenting im…

eess.SY2024★ 3 cited

Learning-based model augmentation with LFRs

Jan H. Hoekstra, Chris Verhoek, Roland Tóth +1

Nonlinear system identification (NL-SI) has proven to be effective in obtaining accurate models for highly complex systems. In particular, recent encoder-based methods for artifici…

eess.SY2024

State Derivative Normalization for Continuous-Time Deep Neural Networks

Jonas Weigand, Gerben I. Beintema, Jonas Ulmen +4

The importance of proper data normalization for deep neural networks is well known. However, in continuous-time state-space model estimation, it has been observed that improper nor…

eess.SY2023★ 1 cited

Meta-State-Space Learning: An Identification Approach for Stochastic Dynamical Systems

Gerben I. Beintema, Maarten Schoukens, Roland Tóth

Available methods for identification of stochastic dynamical systems from input-output data generally impose restricting structural assumptions on either the noise structure in the…

eess.SY2023

Physics-Informed Learning Using Hamiltonian Neural Networks with Output Error Noise Models

Sarvin Moradi, Nick Jaensson, Roland Tóth +1

In order to make data-driven models of physical systems interpretable and reliable, it is essential to include prior physical knowledge in the modeling framework. Hamiltonian Neura…

eess.SY2023

Initialization Approach for Nonlinear State-Space Identification via the Subspace Encoder Approach

Rishi Ramkannan, Gerben I. Beintema, Roland Tóth +1

The SUBNET neural network architecture has been developed to identify nonlinear state-space models from input-output data. To achieve this, it combines the rolled-out nonlinear sta…

eess.SY2023

Computationally efficient predictive control based on ANN state-space models

Jan H. Hoekstra, Bence Cseppentő, Gerben I. Beintema +3

Artificial neural networks (ANN) have been shown to be flexible and effective function estimators for identification of nonlinear state-space models. However, if the resulting mode…

eess.SY2023★ 4 cited

Finite Dimensional Koopman Form of Polynomial Nonlinear Systems

Lucian Cristian Iacob, Maarten Schoukens, Roland Tóth

The Koopman framework is a popular approach to transform a finite dimensional nonlinear system into an infinite dimensional, but linear model through a lifting process, using so-ca…

eess.SY2022

A Data-driven Pricing Scheme for Optimal Routing through Artificial Currencies

David van de Sanden, Maarten Schoukens, Mauro Salazar

Mobility systems often suffer from a high price of anarchy due to the uncontrolled behavior of selfish users. This may result in societal costs that are significantly higher compar…

eess.SY2022★ 1 cited

Deep Subspace Encoders for Nonlinear System Identification

Gerben I. Beintema, Maarten Schoukens, Roland Tóth

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 and the…

eess.SY2022★ 55 cited

Koopman Form of Nonlinear Systems with Inputs

Lucian Cristian Iacob, Roland Tóth, Maarten Schoukens

The Koopman framework proposes a linear representation of finite-dimensional nonlinear systems through a generally infinite-dimensional globally linear embedding. Originally, the K…