Port-Hamiltonian formulation of nonlinear electrical circuits

H Gernandt, FE Haller, T Reis… - Journal of Geometry and …, 2021 - Elsevier
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 …

Exergetic port-Hamiltonian systems: modelling basics

M Lohmayer, P Kotyczka… - … and Computer Modelling …, 2021 - Taylor & Francis
Port-Hamiltonian systems theory provides a structured approach to modelling, optimization
and control of multiphysical systems. Yet, its relationship to thermodynamics seems to be …

Stochastic port-Hamiltonian systems

F Cordoni, L Di Persio, R Muradore - Journal of Nonlinear Science, 2022 - Springer
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 …

Morse families and Dirac systems

M Barbero-Liñán, H Cendra, E Andrés… - arXiv preprint arXiv …, 2018 - arxiv.org
Dirac structures and Morse families are used to obtain a geometric formalism that unifies
most of the scenarios in mechanics (constrained calculus, nonholonomic systems, optimal …

Relational Composition of Physical Systems: A Categorical Approach

O Lynch - arXiv preprint arXiv:2310.06088, 2023 - arxiv.org
In this master's thesis, we rigorously develop two frameworks of relational composition of
systems using tools from category theory. The first framework addresses port-Hamiltonian …

Interconnection of Lagrange–Dirac systems through nonstandard interaction structures

Á Rodríguez Abella - International Journal of Geometric Methods in …, 2023 - World Scientific
The Lagrange–Dirac interconnection theory has been developed for primitive subsystems
coupled by a standard interaction Dirac structure, ie a structure of the form D int= Σ int⊕ Σ …

About some system-theoretic properties of port-thermodynamic systems

A van der Schaft, B Maschke - … , GSI 2019, Toulouse, France, August 27–29 …, 2019 - Springer
Recently a class of Hamiltonian control systems was introduced for geometric modeling of
open irreversible thermodynamic processes. These systems are defined as ordinary …

Port-thermodynamic systems and the assignment of their structure by feedback

B Maschke, A van der Schaft - 2019 IEEE 58th Conference on …, 2019 - ieeexplore.ieee.org
In this paper we consider the feedback equivalence of homogeneous Hamiltonian control
systems. These systems are Hamiltonian control systems which are generated by …

Structure preserving feedback of port-thermodynamic systems

B Maschke, A van der Schaft - IFAC-PapersOnLine, 2019 - Elsevier
Recently a class of Hamiltonian control systems was defined for open irreversible
thermodynamic systems. These systems are Hamiltonian control systems defined on a …

[PDF][PDF] Contributions to port-Hamiltonian systems

FE Haller - 2022 - ediss.sub.uni-hamburg.de
In the present thesis we consider dynamical systems which arise from the energybased
modelling of physical systems, namely, so-called port-Hamiltonian systems. Different …