Worst-case error analysis of the aggregation method, with application to the selection of reduced-order models

DOI10.1080/00207728808964098zbMath0656.93006OpenAlexW2059756891MaRDI QIDQ3804517

G. J. Lastman, Naresh K. Sinha

Publication date: 1988

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728808964098

zbMATH Keywords

generalized eigenvectorstime-invariantreduced order modelworst case error analysis

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Eigenvalues, singular values, and eigenvectors (15A18) Large-scale systems (93A15) Error analysis and interval analysis (65G99)

Related Items (1)

Fine-tuning an aggregated reduced-order model that approximates a linear, time-invariant system

Cites Work

• Unnamed Item
• Optimal choice of modes for aggregation
• On the selection of the dominant poles of a system to be retained in a low-order model
• The optimal projection equations for model reduction and the relationships among the methods of Wilson, Skelton, and Moore
• An error analysis of the aggregation method, with application to the selection of reduced-order models
• On selecting a low-order model using the dominant mode concept
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• On the selection of the eigenvalues to be retained in the reduced order models
• A further note on selecting a low-order system using the dominant eigenvalue concept
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]

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