Explicit simplicial discretization of distributed-parameter port-Hamiltonian systems
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Publication:2628413
DOI10.1016/j.automatica.2013.11.020zbMath1364.49061arXiv1208.3549OpenAlexW2149296235MaRDI QIDQ2628413
Marko Seslija, Jacquelien M. A. Scherpen, Arjan J. Van der Schaft
Publication date: 2 June 2017
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.3549
Dirac structuresdiscrete geometrydistributed-parameter systemsport-Hamiltonian systemsstructure-preserving discretization
Geometric methods (93B27) Dynamical systems in control (37N35) Manifolds and measure-geometric topics (49Q99)
Related Items (5)
Weak form of Stokes-Dirac structures and geometric discretization of port-Hamiltonian systems ⋮ Numerical Analysis of a Structure-Preserving Space-Discretization for an Anisotropic and Heterogeneous Boundary Controlled $N$-Dimensional Wave Equation As a Port-Hamiltonian System ⋮ A port-Hamiltonian formulation of the Navier-Stokes equations for reactive flows ⋮ Geometric spatial reduction for port-Hamiltonian systems ⋮ Dual field structure-preserving discretization of port-Hamiltonian systems using finite element exterior calculus
Cites Work
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- Energy shaping of distributed parameter port-Hamiltonian systems based on finite element approximation
- Discrete exterior geometry approach to structure-preserving discretization of distributed-parameter port-Hamiltonian systems
- Stabilization and shape control of a 1D piezoelectric Timoshenko beam
- Hamiltonian formulation of distributed-parameter systems with boundary energy flow
- L\(_2\) gain and passivity techniques in nonlinear control.
- Hamiltonian discretization of boundary control systems
- First-order Hamiltonian field theory and mechanics
- Finite elements in computational electromagnetism
- Dirac Manifolds
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