On the simplification of large linear systems using Padé -type approximations and Cauer continued fractions

DOI10.1080/00207728508926676zbMath0561.93011OpenAlexW2024149674WikidataQ126249087 ScholiaQ126249087MaRDI QIDQ5187139

F. F. Shoji, Hiroshi Takeda, Ken-Ichi Abe

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/00207728508926676

zbMATH Keywords

model reductionRouth algorithmCauer first-form expansion methodmatching of Markov parameters

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Padé approximation (41A21) Continued fractions; complex-analytic aspects (30B70) Large-scale systems (93A15)

Cites Work

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• Routh approximations for reducing order of linear, time-invariant systems
• A mixed method for multivariable system reduction
• Minimal realizations of transfer-function matrices by means of matrix continued fraction
• Multivariable system reduction via modal methods and padé approximation
• On the relation between the continued fraction expansion and moments matching methods of model reduction †

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