A multipoint continued-fraction expansion for linear system reduction

DOI10.1109/TAC.1986.1104357zbMath0608.93016OpenAlexW1969924196MaRDI QIDQ3748887

Hwang, Chyi, Muhyang Chen

Publication date: 1986

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.1986.1104357

zbMATH Keywords

reduced modelstime-invariantlinear time- invariant systemscanonical state-space modelmultipoint continued-fraction expansionsimilarity transformation matrix

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Canonical structure (93B10) Transformations (93B17) Continued fractions; complex-analytic aspects (30B70) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (10)

Model reduction of nonsquare linear MIMO systems using multipoint matrix continued-fraction expansions ⋮ Optimal model reduction by multipoint Padé approximation ⋮ Generalized moment method for the order reduction of multivariable systems ⋮ Model conversions of uncertain linear systems using interval multipoint Padé approximation ⋮ Model reduction using new optimal Routh approximant technique ⋮ A rational Lanczos algorithm for model reduction ⋮ Stable reduction of linear discrete-time systems via multipoint squared-magnitude CFE ⋮ New results on relationships between multipoint Padé approximation and stability preserving methods in model reduction ⋮ New matrix method for multipoint Padé approximation of transfer functions ⋮ A canonical state-space representation for SISO systems using multipoint Jordan CFE

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