Publications

Journal Articles

Structure-preserving space discretization of differential and nonlocal constitutive relations for port-Hamiltonian systems

Bendimerad-Hohl Antoine, Haine Ghislain, Lefèvre Laurent, Matignon Denis

DOI: 10.1016/j.jcp.2026.114951

Published in Journal of Computational Physics, 2026

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Port-Hamiltonian reduced order modelling of the 2D Maxwell equations

Gouzien Mattéo, Poussot-Vassal Charles, Haine Ghislain, Matignon Denis

DOI: 10.1108/compel-10-2024-0421

Published in COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 2025

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Stokes-Lagrange and Stokes-Dirac representations of N-dimensional port-Hamiltonian systems for modeling and control

Bendimerad-Hohl Antoine, Haine Ghislain, Lefèvre Laurent, Matignon Denis

DOI: 10.3934/cam.2025020

Published in Communications in Analysis and Mechanics, 2025

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Rotational shallow water equations with viscous damping and boundary control: structure-preserving spatial discretization

Cardoso-Ribeiro Flávio Luiz, Haine Ghislain, Lefèvre Laurent, Matignon Denis

DOI: 10.1007/s00498-024-00404-6

Published in Mathematics of Control, Signals, and Systems, 2024

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Port-Hamiltonian formulations for the modeling, simulation and control of fluids

Cardoso-Ribeiro Flávio Luiz, Haine Ghislain, Le Gorrec Yann, Matignon Denis, Ramirez Hector

DOI: 10.1016/j.compfluid.2024.106407

Published in Computers & Fluids, 2024

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Stokes-Dirac structures for distributed parameter port-Hamiltonian systems: An analytical viewpoint

Brugnoli Andrea, Haine Ghislain, Matignon Denis

DOI: 10.3934/cam.2023018

Published in Communications in Analysis and Mechanics, 2023

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Numerical Analysis of a Structure-Preserving Space-Discretization for an Anisotropic and Heterogeneous Boundary Controlled N-Dimensional Wave Equation as a Port-Hamiltonian System

Haine Ghislain, Matignon Denis, Serhani Anass

DOI: 10.4208/ijnam2023-1005

Published in International Journal of Numerical Analysis and Modeling, 2022

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Long-time behavior of a coupled heat-wave system using a structure-preserving finite element method

Haine Ghislain, Matignon Denis, Monteghetti Florian

Published in Mathematical Reports, 2022

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Numerical Approximation of Port-Hamiltonian Systems for Hyperbolic or Parabolic PDEs with Boundary Control

Brugnoli Andrea, Haine Ghislain, Serhani Anass, Vasseur Xavier

DOI: 10.4236/jamp.2021.96088

Published in Journal of Applied Mathematics and Physics, 2021

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Asymptotic stability of the multidimensional wave equation coupled with classes of positive-real impedance boundary conditions

Monteghetti Florian, Haine Ghislain, Matignon Denis

DOI: 10.3934/mcrf.2019049

Published in Mathematical Control and Related Fields, 2019

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Recovering the observable part of the initial data of an infinite-dimensional linear system with skew-adjoint generator

Haine Ghislain

DOI: 10.1007/s00498-014-0124-z

Published in Mathematics of Control, Signals, and Systems, 2014

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Observateurs itératifs en horizon fini. Application à la reconstruction de données initiales pour des EDP d’évolution

Haine Ghislain, Ramdani Karim

DOI: 10.3166/jesa.45.715-724

Published in Journal Européen des Systèmes Automatisés, 2011

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Reconstructing initial data using observers: error analysis of the semi-discrete and fully discrete approximations

Haine Ghislain, Ramdani Karim

DOI: 10.1007/s00211-011-0408-x

Published in Numerische Mathematik, 2011

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Conference Papers

On Stokes-Lagrange and Stokes-Dirac representations for 1D distributed port-Hamiltonian systems

Bendimerad-Hohl Antoine, Matignon Denis, Haine Ghislain, Lefèvre Laurent

DOI: 10.1016/j.ifacol.2024.10.174

Published in 26th International Symposium on Mathematical Theory of Networks and Systems, 2024

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Data-driven structured identification of 2D Maxwell’s equation as a port-Hamiltonian system

Gouzien Mattéo, Poussot-Vassal Charles, Haine Ghislain, Matignon Denis

Published in 10ème Conférence Européenne sur les Méthodes Numériques en Electromagnétisme, 2024

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Simulation and control of interactions in multi-physics, a Python package for port-Hamiltonian systems

Ferraro Giuseppe, Fournié Michel, Haine Ghislain

DOI: 10.1016/j.ifacol.2024.08.267

Published in 8th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, 2024

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Modelling and Structure-Preserving Discretization of the Schrödinger as a Port-Hamiltonian System, and Simulation of a Controlled Quantum Box

Verrier Gabriel, Haine Ghislain, Matignon Denis

DOI: 10.1007/978-3-031-38299-4_41

Published in 6th International Conference on Geometric Science of Information, 2023

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Structure-preserving Discretization of the Cahn-Hilliard Equations Recast as a Port-Hamiltonian System

Bendimerad-Hohl Antoine, Haine Ghislain, Matignon Denis

DOI: 10.1007/978-3-031-38299-4_21

Published in 6th International Conference on Geometric Science of Information, 2023

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Implicit port-Hamiltonian systems: structure-preserving discretization for the nonlocal vibrations in a viscoelastic nanorod, and for a seepage model

Bendimerad-Hohl Antoine, Haine Ghislain, Lefèvre Laurent, Matignon Denis

DOI: 10.1016/j.ifacol.2023.10.387

Published in 22nd IFAC World Congress, 2023

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Data-driven port-Hamiltonian structured identification for non-strictly passive systems

Poussot-Vassal Charles, Matignon Denis, Haine Ghislain, Vuillemin Pierre

DOI: 10.23919/ecc57647.2023.10178249

Published in 2023 European Control Conference, 2023

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Explicit structure-preserving discretization of port-Hamiltonian systems with mixed boundary control

Brugnoli Andrea, Haine Ghislain, Matignon Denis

DOI: 10.1016/j.ifacol.2022.11.089

Published in 25th International Symposium on Mathematical Theory of Networks and Systems, 2022

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Structure-preserving discretization of Maxwell’s equations as a port-Hamiltonian system

Haine Ghislain, Matignon Denis, Monteghetti Florian

DOI: 10.1016/j.ifacol.2022.11.090

Published in 25th International Symposium on Mathematical Theory of Networks and Systems, 2022

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Structure-preserving discretization of a coupled Allen-Cahn and heat equation system

Bendimerad-Hohl Antoine, Haine Ghislain, Matignon Denis, Maschke Bernhard

DOI: 10.1016/j.ifacol.2022.08.037

Published in 4th IFAC Workshop on Thermodynamics Foundations of Mathematical Systems Theory, 2022

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Incompressible Navier-Stokes Equation as port-Hamiltonian systems: velocity formulation versus vorticity formulation

Haine Ghislain, Matignon Denis

DOI: 10.1016/j.ifacol.2021.11.072

Published in 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, 2021

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Structure-Preserving Discretization of a Coupled Heat-Wave System, as Interconnected Port-Hamiltonian Systems

Haine Ghislain, Matignon Denis

DOI: 10.1007/978-3-030-80209-7_22

Published in 5th International Conference on Geometric Science of Information, 2021

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Modelling the 1D piston problem as interconnected port-Hamiltonian systems

Treton Anne-Sophie, Haine Ghislain, Matignon Denis

DOI: 10.1016/j.ifacol.2020.12.601

Published in 21st IFAC World Congress, 2020

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Partitioned finite element method for structured discretization with mixed boundary conditions

Brugnoli Andrea, Cardoso-Ribeiro Flávio Luiz, Haine Ghislain, Kotyczka Paul

DOI: 10.1016/j.ifacol.2020.12.1351

Published in 21st IFAC World Congress, 2020

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Modelling and structure-preserving discretization of Maxwell’s equations as port-Hamiltonian system

Payen Gabriel, Matignon Denis, Haine Ghislain

DOI: 10.1016/j.ifacol.2020.12.1355

Published in 21st IFAC World Congress, 2020

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A Partitioned Finite Element Method for the Structure-Preserving Discretization of Damped Infinite-Dimensional Port-Hamiltonian Systems with Boundary Control

Serhani Anass, Matignon Denis, Haine Ghislain

DOI: 10.1007/978-3-030-26980-7_57

Published in 4th International Conference on Geometric Science of Information, 2019

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Anisotropic heterogeneous n-D heat equation with boundary control and observation: I. Modeling as port-Hamiltonian system

Serhani Anass, Haine Ghislain, Matignon Denis

DOI: 10.1016/j.ifacol.2019.07.009

Published in 3rd IFAC Workshop on Thermodynamic Foundations for a Mathematical Systems Theory, 2019

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Anisotropic heterogeneous n-D heat equation with boundary control and observation: II. Structure-preserving discretization

Serhani Anass, Haine Ghislain, Matignon Denis

DOI: 10.1016/j.ifacol.2019.07.010

Published in 3rd IFAC Workshop on Thermodynamic Foundations for a Mathematical Systems Theory, 2019

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Partitioned Finite Element Method for port-Hamiltonian systems with Boundary Damping: Anisotropic Heterogeneous 2D wave equations

Serhani Anass, Matignon Denis, Haine Ghislain

DOI: 10.1016/j.ifacol.2019.08.017

Published in 3rd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, 2019

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Numerical Simulation on a Fixed Mesh for the Feedback Stabilization of a Fluid–Structure Interaction System with a Structure Given by a Finite Number of Parameters

Delay Guillaume, Ervedoza Sylvain, Fournié Michel, Haine Ghislain

DOI: 10.1007/978-3-030-55594-8_19

Published in IUTAM Symposium on Critical Flow Dynamics involving Moving/Deformable Structures with Design applications, 2018

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Structure-Preserving Finite Volume Method for 2D Linear and Non-Linear Port-Hamiltonian Systems

Serhani Anass, Matignon Denis, Haine Ghislain

DOI: 10.1016/j.ifacol.2018.06.037

Published in 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, 2018

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Stability of Linear Fractional Differential Equations with Delays: a coupled Parabolic-Hyperbolic PDEs formulation

Monteghetti Florian, Haine Ghislain, Matignon Denis

DOI: 10.1016/j.ifacol.2017.08.1966

Published in 20th IFAC World Congress, 2017

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Closed-loop perturbations of well-posed linear systems

Haine Ghislain

DOI: 10.1016/j.ifacol.2017.08.729

Published in 20th IFAC World Congress, 2017

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Recovering the observable part of the initial data of an infinite-dimensional linear system with perturbed skew-adjoint generator using observers

Haine Ghislain

DOI: 10.1109/ecc.2015.7330722

Published in 2015 European Control Conference, 2015

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An observer-based approach for thermoacoustic tomography

Haine Ghislain

Published in 21st International Symposium on Mathematical Theory of Networks and Systems, 2014

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Reconstructing initial data using iterative observers for wave type systems

Haine Ghislain

Published in 11th International Conference on Mathematical and Numerical Aspects of Waves, 2013

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Reconstructing initial data using iterative observers for wave type systems. A numerical analysis

Haine Ghislain, Ramdani Karim

Published in 10th International Conference on Mathematical and Numerical Aspects of Waves, 2011

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