Balanced truncation model reduction with a priori error bounds for LTI systems with nonzero initial value

DOI10.1016/j.cam.2022.114708zbMath1504.93049arXiv2006.02495OpenAlexW3033955973MaRDI QIDQ2087477

Matthias Voigt, Christian Schröder

Publication date: 21 October 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.02495

zbMATH Keywords

error boundsLyapunov equationsbalanced truncationmodel order reduction

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) System structure simplification (93B11)

Related Items (2)

A dynamic mode decomposition based reduced-order model for parameterized time-dependent partial differential equations ⋮ Model order reduction for bilinear systems with non-zero initial states – different approaches with error bounds

Uses Software

• MESS
• benchmodred
• GRANSO

Cites Work

• Unnamed Item
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• A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles
• Asymptotic tracking with prescribed transient behaviour for linear systems
• Approximation of Large-Scale Dynamical Systems

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