4 papers
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…
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 -…
Scattering-Passive Structure-Preserving Finite Element Method for the Boundary Controlled Transport Equation with a Moving Mesh
Jesus-Pablo Toledo-Zucco, Denis Matignon, Charles Poussot-Vassal
A structure-preserving Finite Element Method (FEM) for the transport equation in one- and two-dimensional domains is presented. This Distributed Parameter System (DPS) has non-coll…
Structure-Preserving Discretization and Model Order Reduction of Boundary-Controlled 1D Port-Hamiltonian Systems
Jesus-Pablo Toledo-Zucco, Denis Matignon, Charles Poussot-Vassal +1
This paper presents a systematic methodology for the discretization and reduction of a class of one-dimensional Partial Differential Equations (PDEs) with inputs and outputs colloc…