3 papers
math.NA2026
Structure-preserving space discretization of differential and nonlocal constitutive relations for port-Hamiltonian systems
Antoine Bendimerad-Hohl, Ghislain Haine, Laurent Lefèvre +1
We study the structure-preserving space discretization of port-Hamiltonian (pH) systems defined with differential constitutive relations. Using the concept of Stokes-Lagrange struc…
math.OC2024
Stokes-Lagrange and Stokes-Dirac representations of -dimensional port-Hamiltonian systems for modelling and control
Antoine Bendimerad-Hohl, Ghislain Haine, Laurent Lefèvre +1
In this paper, we extend the port-Hamiltonian framework by introducing the concept of Stokes-Lagrange structure, which enables the implicit definition of a Hamiltonian over an -…
math.DS2024
On implicit and explicit representations for 1D distributed port-Hamiltonian systems
Antoine Bendimerad-Hohl, Denis Matignon, Ghislain Haine +1
First, two examples of 1D distributed port-Hamiltonian systems with dissipation, given in explicit (descriptor) form, are considered: the Dzekster model for the seepage of undergro…