Twenty years of distributed port-Hamiltonian systems: a literature review

R Rashad, F Califano, AJ van der Schaft… - IMA Journal of …, 2020 - academic.oup.com
The port-Hamiltonian (pH) theory for distributed parameter systems has developed greatly in
the past two decades. The theory has been successfully extended from finite-dimensional to …

A partitioned finite element method for power-preserving discretization of open systems of conservation laws

FL Cardoso-Ribeiro, D Matignon… - IMA Journal of …, 2021 - academic.oup.com
This paper presents a structure-preserving spatial discretization method for distributed
parameter port-Hamiltonian systems. The class of considered systems are hyperbolic …

Finite differences on staggered grids preserving the port-Hamiltonian structure with application to an acoustic duct

V Trenchant, H Ramirez, Y Le Gorrec… - Journal of Computational …, 2018 - Elsevier
A finite-difference spatial discretization scheme that preserves the port-Hamiltonian structure
of infinite dimensional systems governed by the wave equation is proposed. The scheme is …

A structure-preserving partitioned finite element method for the 2D wave equation

FL Cardoso-Ribeiro, D Matignon, L Lefevre - IFAC-PapersOnLine, 2018 - Elsevier
Discretizing open systems of conservation laws while preserving the power-balance at the
discrete level can be achieved using a new Partitioned Finite Element Method (PFEM) …

Partitioned finite element method for structured discretization with mixed boundary conditions

A Brugnoli, FL Cardoso-Ribeiro, G Haine… - IFAC-PapersOnLine, 2020 - Elsevier
The propagation of acoustic waves in a 2D geometrical domain under mixed boundary
control is here described by means of the port-Hamiltonian (pH) formalism. A finite element …

Structure preserving spatial discretization of 2D hyperbolic systems using staggered grids finite difference

V Trenchant, H Ramirez, Y Le Gorrec… - 2017 American …, 2017 - ieeexplore.ieee.org
This paper proposes a finite difference spatial discretization scheme that preserve the port-
Hamiltonian structure of 1D and 2D infinite dimensional hyperbolic systems. This scheme is …

Port-Hamiltonian model of two-dimensional shallow water equations in moving containers

FL Cardoso-Ribeiro, D Matignon… - IMA Journal of …, 2020 - academic.oup.com
The free surface motion in moving containers is an important physical phenomenon for
many engineering applications. One way to model the free surface motion is by employing …

Port-Hamiltonian Formulations of Some Elastodynamics Theories of Isotropic and Linearly Elastic Shells: Naghdi–Reissner's Moderately Thick Shells

M Charlotte, IF Núnez, Y Gourinat, D Matignon - Applied Sciences, 2023 - mdpi.com
The port-Hamiltonian system approach is intended to be an innovative and unifying way of
modeling multiphysics systems, by expressing all of them as systems of conservation laws …

Structure-preserving discretization and control of a two-dimensional vibro-acoustic tube

N Liu, Y Wu, Y Le Gorrec, H Ramirez… - IMA Journal of …, 2021 - academic.oup.com
This paper deals with the structure-preserving discretization and control of a two-
dimensional vibro-acoustic tube using the port-Hamiltonian framework. A discretization …

Geometric spatial reduction for port-Hamiltonian systems

NMT Vu, L Lefevre, B Maschke - Systems & Control Letters, 2019 - Elsevier
A geometric spatial reduction method is presented in this paper. It applies to port
Hamiltonian models for open systems of balance equations. It is based on projections which …