On Cauer third continued fraction expansion method for the simplification of large system dynamics

DOI10.1080/00207178308932995zbMath0501.93017OpenAlexW2011775382MaRDI QIDQ3967419

Hwang, Chyi

Publication date: 1983

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178308932995

zbMATH Keywords

transfer functioncontinued fraction expansionreduced order modelscanonical state-space modelCauer third form

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Canonical structure (93B10) Transformations (93B17) Large-scale systems (93A15) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (3)

Cauer continued-fraction expansion abouts= 0 ands= a for biased reduced-order state-space models ⋮ A canonical state-space representation for SISO systems using multipoint Jordan CFE ⋮ A biased continued-fraction expansion for model reduction of continuous-time systems

Cites Work

• System order reduction using the induced operator norm and its applications to linear regulators
• On Chuang's continued fraction method of model reduction
• Continued fraction methods for the reduction of constant-linear multivariable systems
• Aggregation matrix for the reduced-order continued fraction expansion model of Chen and Shieh
• On lossless bandpass ladder networks
• Model reduction of multivariable control systems by means of matrix continued fractions†
• The continued fraction representation of transfer functions and model simplification †

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