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This work proposes a model-reduction methodology that preserves Lagrangian structure (equivalently Hamiltonian structure) and achieves computational efficiency in the presence of high-order nonlinearities and arbitrary parameter dependence.…

Computational Engineering, Finance, and Science · Computer Science 2015-04-16 Kevin Carlberg , Ray Tuminaro , Paul Boggs

In the present work we formally extend the theory of port-Hamiltonian systems to include random perturbations. In particular, suitably choosing the space of flow and effort variables we will show how several elements coming from possibly…

Probability · Mathematics 2022-05-12 Francesco Cordoni , Luca Di Persio , Riccardo Muradore

We present a distributed and price-based control approach for frequency regulation in power grids with nonzero line conductances. Both grid and controller are modeled as a port-Hamiltonian system, where the grid model consists of…

Systems and Control · Electrical Eng. & Systems 2019-09-20 Lukas Kölsch , Kirtan Bhatt , Stefan Krebs , Sören Hohmann

We explore the use of Physics Informed Neural Networks to analyse nonlinear Hamiltonian Dynamical Systems with a first integral of motion. In this work, we propose an architecture which combines existing Hamiltonian Neural Network…

Machine Learning · Computer Science 2023-08-09 Vedanta Thapar

We obtain correction terms for the standard Hamiltonian of 2 transmons driven by microwaves in cross resonance. Data is obtained from a real transmon system, namely ibm kyiv on the IBM quantum platform. Various data points obtained…

Quantum Physics · Physics 2025-05-06 John GeorgeFrancis , Dr Anil Shaji

We present a numerical framework for recovering unknown non-autonomous dynamical systems with time-dependent inputs. To circumvent the difficulty presented by the non-autonomous nature of the system, our method transforms the solution state…

Signal Processing · Electrical Eng. & Systems 2020-06-04 Tong Qin , Zhen Chen , John Jakeman , Dongbin Xiu

This paper addresses the regulation and trajectory-tracking problems for two classes of weakly coupled electromechanical systems. To this end, we formulate an energy-based model for these systems within the port-Hamiltonian framework. Then,…

Systems and Control · Electrical Eng. & Systems 2024-07-12 N. Javanmardi , P. Borja , M. J. Yazdanpanah , J. M. A. Scherpen

We present an efficient data-driven regression approach for constructing reduced-order models (ROMs) of reaction-diffusion systems exhibiting pattern formation. The ROMs are learned non-intrusively from available training data of physically…

Pattern Formation and Solitons · Physics 2025-08-12 Alessandro Alla , Rudy Geelen , Hannah Lu

We study the regularization problem for port-Hamiltonian descriptor systems by proportional and/or derivative output feedback. Necessary and sufficient conditions are given, which guarantee that there exist output feedbacks such that the…

Optimization and Control · Mathematics 2025-12-02 Delin Chu , Volker Mehrmann

The efficient condition assessment of engineered systems requires the coupling of high fidelity models with data extracted from the state of the system `as-is'. In enabling this task, this paper implements a parametric Model Order Reduction…

Numerical Analysis · Mathematics 2024-07-25 Konstantinos Vlachas , Konstantinos Tatsis , Konstantinos Agathos , Adam R. Brink , Eleni Chatzi

This paper considers structure-preserving model order reduction (MOR) techniques for port-Hamiltonian (pH) systems, which are typically derived from energy-based modelling. To keep favorable properties of pH systems such as stability and…

Numerical Analysis · Mathematics 2026-03-10 Silke Glas , Hongliang Mu

We introduce a reduced order model (ROM) methodology for inverse electromagnetic wave scattering in layered lossy media, using data gathered by an antenna which generates a probing wave and measures the time resolved reflected wave. We…

Dynamical Systems · Mathematics 2021-08-04 Liliana Borcea , Vladimir Druskin , Jörn Zimmerling

This work aims at tackling the problem of learning surrogate models from noisy time-domain data by means of matrix pencil-based techniques, namely the Hankel and Loewner frameworks. A data-driven approach to obtain reduced-order state-space…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Pauline Kergus , Ion Victor Gosea

Hybrid machine learning combines physical knowledge with data-driven models to enhance interpretability and performance. In this context, Port-Hamiltonian Systems (PHS), which generalize Hamiltonian mechanics to describe open,…

Machine Learning · Computer Science 2026-05-14 Maximino Linares , Guillaume Doras , Thomas Hélie

Long Short-Term Memory (LSTM) network-driven Non-Intrusive Reduced Order Model (NROM) for predicting the dynamics of a floating box on the water surface in a wavemaker basin is addressed in this study. The ground truth or actual data for…

Fluid Dynamics · Physics 2023-02-08 Rahul Halder , Murali Damodaran , Khoo Boo Cheong

This paper presents a method for developing single and multi-port frequency dependent network equivalent (FDNE) based on a passivity enforced online recursive least squares identification algorithm, which identifies the input admittance…

Signal Processing · Electrical Eng. & Systems 2019-07-24 Abilash Thakallapelli , Sudipta Ghosh , Sukumar Kamalasadan

We construct optimally robust port-Hamiltonian realizations of a given rational transfer function that represents a passive system. We show that the realization with a maximal passivity radius is a normalized port-Hamiltonian one. Its…

Optimization and Control · Mathematics 2019-05-01 Volker Mehrmann , Paul Van Dooren

Controlling large-scale cyber-physical systems necessitates optimal distributed policies, relying solely on local real-time data and limited communication with neighboring agents. However, finding optimal controllers remains challenging,…

Systems and Control · Electrical Eng. & Systems 2024-03-27 Muhammad Zakwan , Giancarlo Ferrari-Trecate

Recently developed reduced-order modeling techniques aim to approximate nonlinear dynamical systems on low-dimensional manifolds learned from data. This is an effective approach for modeling dynamics in a post-transient regime where the…

Dynamical Systems · Mathematics 2023-09-27 Samuel E. Otto , Gregory R. Macchio , Clarence W. Rowley

We consider nonlinear electrical circuits for which we derive a port-Hamiltonian formulation. After recalling a framework for nonlinear port-Hamiltonian systems, we model each circuit component as an individual port-Hamiltonian system. The…

Optimization and Control · Mathematics 2020-10-28 Hannes Gernandt , Frédéric Haller , Timo Reis Arjan van der Schaft
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