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Main Title: Lyapunov balancing for passivity-preserving model reduction of RC circuits
Author(s): Reis, Timo
Stykel, Tatjana
Type: Research Paper
Abstract: We apply Lyapunov-based balanced truncation model reduction method to differential-algebraic equations arising in modeling of RC circuits. This method is based on diagonalizing the solution of one projected Lyapunov equation. It is shown that this method preserves passivity and delivers an error bound. By making use of the special structure of circuit equations, we can reduce the numerical effort for balanced truncation drastically.
Subject(s): balanced truncation
electrical circuits
Lyapunov equations
model reduction
positive real
symmetric systems
differential-algebraic equations
Issue Date: 10-Dec-2009
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 93B11 System structure simplification
34A09 Implicit equations, differential-algebraic equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2009, 27
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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