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 …

Port-Hamiltonian formulation and symplectic discretization of plate models Part I: Mindlin model for thick plates

A Brugnoli, D Alazard, V Pommier-Budinger… - Applied Mathematical …, 2019 - Elsevier
The port-Hamiltonian formulation is a powerful method for modeling and interconnecting
systems of different natures. In this paper, the port-Hamiltonian formulation in tensorial form …

Port-Hamiltonian formulation and symplectic discretization of plate models Part II: Kirchhoff model for thin plates

A Brugnoli, D Alazard, V Pommier-Budinger… - Applied Mathematical …, 2019 - Elsevier
The mechanical model of a thin plate with boundary control and observation is presented as
a port-Hamiltonian system (PHs 1), both in vectorial and tensorial forms: the Kirchhoff-Love …

A partitioned finite element method for the structure-preserving discretization of damped infinite-dimensional port-Hamiltonian systems with boundary control

A Serhani, D Matignon, G Haine - … , GSI 2019, Toulouse, France, August 27 …, 2019 - Springer
Many boundary controlled and observed Partial Differential Equations can be represented
as port-Hamiltonian systems with dissipation, involving a Stokes-Dirac geometrical structure …

[HTML][HTML] A port-Hamiltonian approach to modeling the structural dynamics of complex systems

A Warsewa, M Böhm, O Sawodny, C Tarín - Applied Mathematical …, 2021 - Elsevier
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 …

Numerical approximation of port-Hamiltonian systems for hyperbolic or parabolic PDEs with boundary control

A Brugnoli, G Haine, A Serhani, X Vasseur - ar**: anisotropic heterogeneous 2D wave equations
A Serhani, D Matignon, G Haine - IFAC-PapersOnLine, 2019 - Elsevier
A 2D wave equation with boundary dam** of impedance type can be recast into an infinite-
dimensional port-Hamiltonian system (pHs) with an appropriate feedback law, where the …