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

DOI10.1007/978-3-030-26980-7_57zbMath1460.35361OpenAlexW2968560969MaRDI QIDQ2305267

Anass Serhani, Ghislain Haine, Denis Matignon

Publication date: 10 March 2020

Full work available at URL: http://oatao.univ-toulouse.fr/24288/1/Serhani_24288.pdf

zbMATH Keywords

dissipationport-Hamiltonian systemspartitioned finite element methodstructure preserving method

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Dynamical systems in control (37N35) PDEs in connection with control and optimization (35Q93)

Related Items (7)

Error bounds for port-Hamiltonian model and controller reduction based on system balancing ⋮ Port-Hamiltonian formulations of poroelastic network models ⋮ Control of port-Hamiltonian differential-algebraic systems and applications ⋮ Numerical Analysis of a Structure-Preserving Space-Discretization for an Anisotropic and Heterogeneous Boundary Controlled $N$-Dimensional Wave Equation As a Port-Hamiltonian System ⋮ Port-Hamiltonian Modeling of District Heating Networks ⋮ Theory and implementation of coupled port-Hamiltonian continuum and lumped parameter models ⋮ Structure-preserving discretization of a coupled heat-wave system, as interconnected port-Hamiltonian systems

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