Structure-preserving model reduction of complex physical systems

Port-based network modeling of complex physical systems naturally leads to port-Hamiltonian system models. This motivates the search for structure-preserving model reduction methods, which allow one to replace high-dimensional port-Hamiltonian system components by reduced-order ones. In this paper we treat a family of structure-preserving reduction methods for port-Hamiltonian systems, and discuss their relation with projection-based reduction methods for DAEs.