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Port-Hamiltonian (PH) systems provide a framework for modeling, analysis and control of complex dynamical systems, where the complexity might result from multi-physical couplings, non-trivial domains and diverse nonlinearities. A major…

动力系统 · 数学 2024-03-15 Philipp L. Kinon , Tobias Thoma , Peter Betsch , Paul Kotyczka

A new formulation for the modular construction of flexible multibody systems is presented. By rearranging the equations for a flexible floating body and introducing the appropriate canonical momenta, the model is recast into a coupled…

经典物理 · 物理学 2020-10-07 Andrea Brugnoli , Daniel Alazar , Valérie Pommier-Budinger , Denis Matignon

Projection-based model order reduction of dynamical systems usually introduces an error between the high-fidelity model and its counterpart of lower dimension. This unknown error can be bounded by residual-based methods, which are typically…

This work introduces a port-Hamiltonian (PH) model for constrained mechanical systems, which is directly derived from the Lagrangian equations of motion. The present PH framework incorporates a singularity-free director representation of…

动力系统 · 数学 2026-03-16 Lisa Latussek , Philipp L. Kinon , Peter Betsch

This work proposes a novel structure-preserving model order reduction (MOR) method for linear, time-invariant port-Hamiltonian (pH) systems. Our goal is to construct a reduced order pH system, which can still be interpreted in the physical…

最优化与控制 · 数学 2025-10-16 Silke Glas , Mir Mamunuzzaman , Hongliang Mu , Hans Zwart

Port-based network modeling of multi-physics problems leads naturally to a formulation as port-Hamiltonian differential-algebraic system. In this way, the physical properties are directly encoded in the structure of the model. Since the…

最优化与控制 · 数学 2024-12-20 Sarah-Alexa Hauschild , Nicole Marheineke , Volker Mehrmann

With this contribution, we give a complete and comprehensive framework for modeling the dynamics of complex mechanical structures as port-Hamiltonian systems. This is motivated by research on the potential of lightweight construction using…

计算物理 · 物理学 2020-08-19 Alexander Warsewa , Michael Böhm , Oliver Sawodny , Cristina Tarín

Port-Hamiltonian (pH) systems offer a highly structured and energy-based modular framework for control systems. Many pH systems exhibit non-polynomial non-linearities. We consider the problem of immersing such systems into a…

系统与控制 · 电气工程与系统科学 2026-03-12 Mohammad Itani , Manuel Schaller , Karl Worthmann , Timm Faulwasser

The port-Hamiltonian framework is a structure-preserving modeling approach that preserves key physical properties such as energy conservation and dissipation. When subsystems are modeled as port-Hamiltonian systems (pHS) with linearly…

动力系统 · 数学 2025-11-26 Matthias Ehrhardt , Michael Günther , Daniel Ševčovič

This paper presents a systematic methodology for the discretization and reduction of a class of one-dimensional Partial Differential Equations (PDEs) with inputs and outputs collocated at the spatial boundaries. The class of system that we…

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…

数值分析 · 数学 2026-03-10 Silke Glas , Hongliang Mu

This paper investigates the problem of data-driven modeling of port-Hamiltonian systems while preserving their intrinsic Hamiltonian structure and stability properties. We propose a novel neural-network-based port-Hamiltonian modeling…

系统与控制 · 电气工程与系统科学 2026-04-16 Binh Nguyen , Nam T. Nguyen , Truong X. Nghiem

Methods for discretizing port-Hamiltonian systems are of interest both for simulation and control purposes. Despite the large literature on mixed finite elements, no rigorous analysis of the connections between mixed elements and…

We develop optimization-based structure-preserving model order reduction (MOR) methods for port-Hamiltonian (pH) descriptor systems of differentiation index one. Descriptor systems in pH form permit energy-based modeling and intuitive…

最优化与控制 · 数学 2022-06-06 Paul Schwerdtner , Tim Moser , Volker Mehrmann , Matthias Voigt

In this paper we present a novel approach to the geometric formulation of solid and fluid mechanics within the port-Hamiltonian framework, which extends the standard Hamiltonian formulation to non-conservative and open dynamical systems.…

数学物理 · 物理学 2024-04-19 Ramy Rashad , Stefano Stramigioli

This paper presents a structure-preserving model reduction approach applicable to large-scale, nonlinear port-Hamiltonian systems. Structure preservation in the reduction step ensures the retention of port-Hamiltonian structure which, in…

数值分析 · 数学 2016-01-05 Saifon Chaturantabut , Chris Beattie , Serkan Gugercin

Port-Hamiltonian (pH) systems are a very important modeling tool in almost all areas of systems and control, in particular in network based model of multi-physics multi-scale systems. They lead to remarkably robust models that can be easily…

最优化与控制 · 数学 2019-03-19 Karim Cherifi , Volker Mehrmann , Kamel Hariche

The port-Hamiltonian modelling framework allows for models that preserve essential physical properties such as energy conservation or dissipative inequalities. If all subsystems are modelled as port-Hamiltonian systems and the inputs are…

数值分析 · 数学 2023-01-06 Andreas Bartel , Markus Clemens , Michael Günther , Birgit Jacob , Timo Reis

Hydrogen's growing role in the transition towards climate-neutral energy systems necessitates structured modeling frameworks. Existing gas network models, largely developed for natural gas, fail to capture hydrogen systems distinct…

最优化与控制 · 数学 2025-12-03 Abdullah Shahin , Hannes Gernandt , Anton Plietzsch , Johannes Schiffer

We investigate discretization strategies for a recently introduced class of energy-based models. The model class encompasses classical port-Hamiltonian systems, generalized gradient flows, and certain systems with algebraic constraints. Our…

数值分析 · 数学 2026-05-29 Robert Altmann , Attila Karsai , Philipp Schulze
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