3 papers
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.NA2020
Numerical approximation of port-Hamiltonian systems for hyperbolic or parabolic PDEs with boundary control
Andrea Brugnoli, Ghislain Haine, Anass Serhani +1
We consider the design of structure-preserving discretization methods for the solution of systems of boundary controlled Partial Differential Equations (PDEs) thanks to the port-Ha…
math.DS2018
Asymptotic stability of the multidimensional wave equation coupled with classes of positive-real impedance boundary conditions
Florian Monteghetti, Ghislain Haine, Denis Matignon
This paper proves the asymptotic stability of the multidimensional wave equation posed on a bounded open Lipschitz set, coupled with various classes of positive-real impedance boun…