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This paper presents a kernel-based framework for physics-informed nonlinear system identification. The key contribution is a structured methodology that extends kernel-based techniques to seamlessly embed partially known physics-based…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Cesare Donati , Martina Mammarella , Giuseppe C. Calafiore , Fabrizio Dabbene , Constantino Lagoa , Carlo Novara

This paper is concerned with black-box identification of nonlinear state space models. By using a basis function expansion within the state space model, we obtain a flexible structure. The model is identified using an expectation…

Computation · Statistics 2016-11-17 Andreas Svensson , Thomas B. Schön , Arno Solin , Simo Särkkä

Given the superposition of a low-rank matrix plus the product of a known fat compression matrix times a sparse matrix, the goal of this paper is to establish deterministic conditions under which exact recovery of the low-rank and sparse…

Information Theory · Computer Science 2013-10-01 Morteza Mardani , Gonzalo Mateos , Georgios B. Giannakis

Simulation is vital for engineering disciplines, as it enables the prediction and design of physical systems. However, the computational challenges inherent to large-scale simulations often arise from complex device models featuring high…

Systems and Control · Electrical Eng. & Systems 2024-10-23 Aayushya Agarwal , Yihan Ruan , Larry Pileggi

This paper deals with two problems: the identification and compensation of hysteresis nonlinearity in dynamical systems using nonlinear polynomial autoregressive models with exogenous inputs (NARX). First, based on gray-box identification…

Systems and Control · Electrical Eng. & Systems 2025-11-21 Petrus E. O. G. B. Abreu , Lucas A. Tavares , Bruno O. S. Teixeira , Luis A. Aguirre

This paper proposes a new framework for the optimization of excitation inputs for system identification. The optimization problem considered is to maximize a reduced Fisher information matrix in any of the classical D-, E-, or A-optimal…

Optimization and Control · Mathematics 2016-11-17 Ian R. Manchester

Model learning (a.k.a. active automata learning) is a highly effective technique for obtaining black-box finite state models of software components. Thus far, generalisation to infinite state systems with inputs/outputs that carry data…

Formal Languages and Automata Theory · Computer Science 2020-09-22 Bharat Garhewal , Frits Vaandrager , Falk Howar , Timo Schrijvers , Toon Lenaerts , Rob Smits

The emergence of foundational models has greatly improved performance across various downstream tasks, with fine-tuning often yielding even better results. However, existing fine-tuning approaches typically require access to model weights…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Matan Levy , Rami Ben-Ari , Dvir Samuel , Nir Darshan , Dani Lischinski

In this document, some general results in approximation theory and matrix analysis with applications to sparse identification of time series models and nonlinear discrete-time dynamical systems are presented. The aforementioned theoretical…

Numerical Analysis · Mathematics 2021-08-04 Fredy Vides

Operating complex real-world systems, such as soft robots, can benefit from precise predictive control schemes that require accurate state and model knowledge. This knowledge is typically not available in practical settings and must be…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Jan-Hendrik Ewering , Max Bartholdt , Simon F. G. Ehlers , Niklas Wahlström , Thomas B. Schön , Thomas Seel

Sequential convex programming has been established as an effective framework for solving nonconvex trajectory planning problems. However, its performance is highly sensitive to problem parameters, including trajectory variables, algorithmic…

Optimization and Control · Mathematics 2025-12-09 Ziqi Xu , Lin Cheng , Di Wu , Shengping Gong

The state space dynamics representation is the most general approach for nonlinear systems and often chosen for system identification. During training, the state trajectory can deform significantly leading to poor data coverage of the state…

Machine Learning · Computer Science 2025-07-11 Hermann Klein , Max Heinz Herkersdorf , Oliver Nelles

With the need for optimisation based supervisory controllers for complex energy systems, comes the need for reduced order system models representing not only the non-linear characteristics of the components, but also certain unknown process…

Systems and Control · Computer Science 2020-10-22 Parantapa Sawant , Adrian Bürger , Minh Dang Doan , Clemens Felsmann , Jens Pfafferott

Models that contain intersample behavior are important for control design of systems with slow-rate outputs. The aim of this paper is to develop a system identification technique for fast-rate models of systems where only slow-rate output…

Systems and Control · Electrical Eng. & Systems 2025-06-18 Max van Haren , Roy S. Smith , Tom Oomen

We present a subspace system identification method based on weighted nuclear norm approximation. The weight matrices used in the nuclear norm minimization are the same weights as used in standard subspace identification methods. We show…

Systems and Control · Computer Science 2016-11-18 Anders Hansson , Zhang Liu , Lieven Vandenberghe

Inspired by ideas taken from the machine learning literature, new regularization techniques have been recently introduced in linear system identification. In particular, all the adopted estimators solve a regularized least squares problem,…

Systems and Control · Computer Science 2015-07-03 Gianluigi Pillonetto , Tianshi Chen , Alessandro Chiuso , Giuseppe De Nicolao , Lennart Ljung

Most studies tackling hysteresis identification in the technical literature follow white-box approaches, i.e. they rely on the assumption that measured data obey a specific hysteretic model. Such an assumption may be a hard requirement to…

Systems and Control · Computer Science 2016-10-31 Jean-Philippe Noël , Alireza F. Esfahani , Gaetan Kerschen , Johan Schoukens

This contribution revisits the classical approximate realization problem, which involves determining matrices of a state-space model based on estimates of a truncated series of Markov parameters. A Hankel matrix built up by these Markov…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Jiabao He , Yueyue Xu , Yue Ju , Cristian R. Rojas , Håkan Hjalmarsson

As far as the identification of linear time-invariant state-space representation is concerned, among all of the solutions available in the literature, the subspace-based state-space model identification techniques have proved their…

Systems and Control · Computer Science 2013-05-31 Guillaume Mercère

Non-convex optimization problems are challenging to solve; the success and computational expense of a gradient descent algorithm or variant depend heavily on the initialization strategy. Often, either random initialization is used or…

Machine Learning · Computer Science 2020-12-23 Kartik Ahuja , Amit Dhurandhar , Kush R. Varshney