Port-Hamiltonian systems: algebraic, geometric and operator theoretic representations
Volker Mehrmann (TU Berlin)
Abstract: Different representations of dissipative Hamiltonian and port-Hamiltonian differential-algebraic equations (DAE) systems are presented and compared. Using global geometric and algebraic points of view, translations between the different representations are presented. The results also apply in the Hilbert space setting of linear operator equations. Characterizations are also derived when a general DAE system can be transformed into one of these structured representations. Approaches for computing the structural information and the described transformations are derived that can be directly implemented as numerical methods. The results are demonstrated with a large number of examples.
Joint work partly with Arjan van der Schaft and partly with Hans Zwart
mathematical physicsanalysis of PDEsdifferential geometrydynamical systemsfunctional analysisnumerical analysisoptimization and controlspectral theory
Audience: researchers in the discipline
( slides )
Series comments: Slides and recordings can be found here: uni-wuppertal.sciebo.de/s/CQfBsXr9iOI17ZY
| Organizers: | Hannes Gernandt*, Birgit Jacob |
| *contact for this listing |