Comparison of Model Reduction Methods with Applications to Circuit Simulation Export

@incollection{citeulike:6060624, abstract = {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 ℌ2. Their performance is analyzed in terms of several criteria such as: preservation of controllability, observability, stability and passivity, relative ℌ2 and ℌ∞ norms, and the computational cost involved.}, author = {Ionutiu, Roxana and Lefteriu, Sanda and Antoulas, Athanasios}, citeulike-article-id = {6060624}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/978-3-540-71980-9_1}, citeulike-linkout-1 = {http://www.springerlink.com/content/hw006151162uw418}, doi = {10.1007/978-3-540-71980-9_1}, journal = {Scientific Computing in Electrical Engineering}, keywords = {dynamics, engineering, model, reduced}, pages = {3--24}, posted-at = {2009-11-03 16:20:29}, priority = {2}, title = {Comparison of Model Reduction Methods with Applications to Circuit Simulation}, url = {http://dx.doi.org/10.1007/978-3-540-71980-9_1}, year = {2007} }

TY - CHAP ID - citeulike:6060624 L3 - citeulike-article-id:6060624 N2 - 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 ℌ2. Their performance is analyzed in terms of several criteria such as: preservation of controllability, observability, stability and passivity, relative ℌ2 and ℌ∞ norms, and the computational cost involved. JF - Scientific Computing in Electrical Engineering EP - 24 TI - Comparison of Model Reduction Methods with Applications to Circuit Simulation SP - 3 KW - dynamics KW - engineering KW - model KW - reduced AU - Ionutiu, Roxana AU - Lefteriu, Sanda AU - Antoulas, Athanasios PY - 2007/// UR - http://dx.doi.org/10.1007/978-3-540-71980-9_1 ER -