Lyapunov Balancing for Passivity-Preserving Model Reduction of RC Circuits

DOI10.1137/090779802zbMath1213.78038OpenAlexW2027149050MaRDI QIDQ3077130

Timo Reis, Tatjana Stykel

Publication date: 22 February 2011

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a5dac35a8649795bf0336ecb2dae32a9573fd1e5

zbMATH Keywords

passivitydifferential-algebraic equationsmodel reductionprojectorsreciprocitysymmetric systemsLyapunov equationsbalanced truncationelectrical circuitspositive real

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Analytic circuit theory (94C05) Large-scale systems (93A15) Model reduction in optics and electromagnetic theory (78M34)

Related Items (14)

On the geometric structures of the \(\mathcal{H}_\infty\) controllers for descriptor systems ⋮ Balanced Truncation Model Reduction for 3D Linear Magneto-Quasistatic Field Problems ⋮ Some Remarks on A Priori Error Estimation for ESVDMOR ⋮ Model Order Reduction for Differential-Algebraic Equations: A Survey ⋮ Interpolatory \(H_\infty \) model reduction ⋮ On the practical stability of control processes governed by implicit differential equations: the invariant ellipsoid based approach ⋮ Model order reduction of parameterized circuit equations based on interpolation ⋮ Stability and passivity preserving Petrov-Galerkin approximation of linear infinite-dimensional systems ⋮ A new estimation of the lower error bound in balanced truncation method ⋮ A structured pseudospectral method for \(\mathcal {H}_{\infty}\)-norm computation of large-scale descriptor systems ⋮ DAEs in Circuit Modelling: A Survey ⋮ 2 Balancing-related model reduction methods ⋮ A Linear Relation Approach to Port-Hamiltonian Differential-Algebraic Equations ⋮ Mathematical Modeling and Analysis of Nonlinear Time-Invariant RLC Circuits

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