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Erschienen in:
2007 | OriginalPaper | Buchkapitel
Comparison of Model Reduction Methods with Applications to Circuit Simulation
verfasst von : Roxana Ionutiu, Sanda Lefteriu, Athanasios C. Antoulas
Erschienen in: Scientific Computing in Electrical Engineering
Verlag: Springer Berlin Heidelberg
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We compare different model reduction methods applied to the dynamical system of a coupled transmission line: balanced truncation (BT), truncation by balancing one gramian (or PMTBR - poor man's truncated balanced reduction), positive real balanced truncation (PRBT) and its Hamiltonian implementation (PRBT-Ham), PRIMA, spectral zero method (SZM) and its Hamiltonian implementation (SZM-Ham), and finally, optimal
ℌ
2
. Their performance is analyzed in terms of several criteria such as: preservation of controllability, observability, stability and passivity, relative
ℌ
2
and
ℌ
∞
norms, and the computational cost involved.