TY - INPR A1 - Mehrmann, Volker A1 - Morandin, Riccardo T1 - Structure-preserving discretization for port-Hamiltonian descriptor systems N2 - We extend the modeling framework of port-Hamiltonian descriptor systems to include under- and over-determined systems and arbitrary differentiable Hamiltonian functions. This structure is associated with a Dirac structure that encloses its energy balance properties. In particular, port-Hamiltonian systems are naturally passive and Lyapunov stable, because the Hamiltonian defines a Lyapunov function. The explicit representation of input and dissipation in the structure make these systems particularly suitable for output feedback control. It is shown that this structure is invariant under a wide class of nonlinear transformations, and that it can be naturally modularized, making it adequate for automated modeling. We investigate then the application of time-discretization schemes to these systems and we show that, under certain assumptions on the Hamiltonian, structure preservation is achieved for some methods. Numerical examples are provided. KW - port-Hamiltonian systems KW - structure-preserving discretization KW - differential-algebraic equations KW - Dirac structure Y1 - 2019 UR - https://opus4.kobv.de/opus4-trr154/frontdoor/index/index/docId/403 ER -