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In this paper a method of controlling nonholonomic systems within the port-Hamiltonian (pH) framework is presented. It is well known that nonholonomic systems can be represented as pH systems without Lagrange multipliers by considering a…

Systems and Control · Computer Science 2018-01-23 Joel Ferguson , Alejandro Donaire , Christopher Renton , Richard H. Middleton

Control theory often takes the mathematical model of the to-be-control-led system for granted. In contrast, port-Hamiltonian systems theory bridges the gap between modelling and control for physical systems. It provides a unified framework…

Optimization and Control · Mathematics 2024-12-30 Arjan van der Schaft

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…

Dynamical Systems · Mathematics 2024-03-15 Philipp L. Kinon , Tobias Thoma , Peter Betsch , Paul Kotyczka

It is well known that any port-Hamiltonian (pH) system is passive, and conversely, any minimal and stable passive system has a pH representation. Nevertheless, this equivalence is only concerned with the input-output mapping but not with…

Optimization and Control · Mathematics 2025-03-12 Tobias Holicki , Jonas Nicodemus , Paul Schwerdtner , Benjamin Unger

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…

Optimization and Control · Mathematics 2025-12-03 Abdullah Shahin , Hannes Gernandt , Anton Plietzsch , Johannes Schiffer

We combine energy-stable and port-Hamiltonian (pH) systems to obtain energy-stable port-Hamiltonian (espH) systems. The idea is to extend the known energy-stable systems with an input-output port, which results in a pH formulation. One…

Numerical Analysis · Mathematics 2025-06-10 Patrick Buchfink , Silke Glas , Hans Zwart

This work introduces a new framework integrating port-Hamiltonian systems (PHS) and neural network architectures. This framework bridges the gap between deterministic and stochastic modeling of complex dynamical systems. We introduce new…

Mathematical Physics · Physics 2025-09-09 Luca Di Persio , Matthias Ehrhardt , Youness Outaleb , Sofia Rizzotto

Passive systems are characterized by their inability to generate energy internally, providing a powerful tool for modeling physical phenomena. Additionally, algebraically encoding passivity in the system description can be advantageous. For…

Dynamical Systems · Mathematics 2025-05-20 Attila Karsai , Tobias Breiten , Justus Ramme , Philipp Schulze

Port-Hamiltonian systems theory provides a structured approach to modelling, optimization and control of multiphysical systems. Yet, its relationship to thermodynamics seems to be unclear. The Hamiltonian is traditionally thought of as…

Classical Physics · Physics 2021-11-01 Markus Lohmayer , Paul Kotyczka , Sigrid Leyendecker

In this note, we consider port-Hamiltonian structures in numerical optimal control of ordinary differential equations. By introducing a novel class of nonlinear monotone port-Hamiltonian (pH) systems, we show that the primal-dual gradient…

Optimization and Control · Mathematics 2024-12-17 Hannes Gernandt , Manuel Schaller

The high volatility of renewable energies calls for more energy efficiency. Thus, different physical systems need to be coupled efficiently although they run on various time scales. Here, the port-Hamiltonian (pH) modeling framework comes…

Numerical Analysis · Mathematics 2024-04-09 Sarah-Alexa Hauschild , Nicole Marheineke

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…

Numerical Analysis · Mathematics 2023-01-06 Andreas Bartel , Markus Clemens , Michael Günther , Birgit Jacob , Timo Reis

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…

Optimization and Control · Mathematics 2019-03-19 Karim Cherifi , Volker Mehrmann , Kamel Hariche

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…

Classical Physics · Physics 2020-10-07 Andrea Brugnoli , Daniel Alazar , Valérie Pommier-Budinger , Denis Matignon

Conventional physics-based modeling techniques involve high effort, e.g., time and expert knowledge, while data-driven methods often lack interpretability, structure, and sometimes reliability. To mitigate this, we present a data-driven…

Dynamical Systems · Mathematics 2024-08-19 Johannes Rettberg , Jonas Kneifl , Julius Herb , Patrick Buchfink , Jörg Fehr , Bernard Haasdonk

We present a novel physics-informed system identification method to construct a passive linear time-invariant system. In more detail, for a given quadratic energy functional, measurements of the input, state, and output of a system in the…

Dynamical Systems · Mathematics 2023-02-13 Riccardo Morandin , Jonas Nicodemus , Benjamin Unger

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…

Dynamical Systems · Mathematics 2025-11-26 Matthias Ehrhardt , Michael Günther , Daniel Ševčovič

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…

Computational Physics · Physics 2020-08-19 Alexander Warsewa , Michael Böhm , Oliver Sawodny , Cristina Tarín

This paper studies coefficient-level, structure-preserving output-feedback stabilization of linear port-Hamiltonian (pH) descriptor systems. Existing stabilization conditions generally require explicit pH representations, which may be…

Optimization and Control · Mathematics 2026-05-15 Shuo Shi , Juan Zhang

We study a type of port-Hamiltonian system, in which the controller or disturbance is not applied to the flow variables, but to the systems power, a scenario that appears in many practical applications. A suitable framework is provided to…

Systems and Control · Computer Science 2018-02-08 Pooya Monshizadeh , Juan E. Machado , Romeo Ortega , Arjan van der Schaft
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