Interpolation-based ℌ2 model reduction for port-Hamiltonian systems

S Gugercin, RV Polyuga, CA Beattie… - Proceedings of the …, 2009 - ieeexplore.ieee.org
Port network modeling of physical systems leads directly to an important class of passive
state space systems: port-Hamiltonian systems. We consider here methods for model
reduction of large scale port-Hamiltonian systems that preserve port-Hamiltonian structure
and are capable of yielding reduced order models that satisfy first-order optimality conditions
with respect to an H 2 system error metric. The methods we consider are closely related to
rational Krylov methods and variants are described using both energy and co-energy system …

Interpolation-based ℌ2 model reduction for port-Hamiltonian systems

S Gugercin, RV Polyuga, CA Beattie… - Proceedings of the 48h … - infona.pl
Port network modeling of physical systems leads directly to an important class of passive
state space systems: port-Hamiltonian systems. We consider here methods for model
reduction of large scale port-Hamiltonian systems that preserve port-Hamiltonian structure
and are capable of yielding reduced order models that satisfy first-order optimality conditions
with respect to an H 2 system error metric. The methods we consider are closely related to
rational Krylov methods and variants are described using both energy and co-energy system …
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