Multivariable systems reduction via Cauer forms

DOI10.1080/00207178108922553zbMath0483.93058OpenAlexW1984493370WikidataQ126245508 ScholiaQ126245508MaRDI QIDQ3942842

W. J. Porras, M. J. Goldman, Cornelius T. Leondes

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00207178108922553

zbMATH Keywords

transfer function matrixreduced order modelmatrix continued fraction expansioninitial and final time domain response behaviour

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Canonical structure (93B10) Transformations (93B17) Canonical forms, reductions, classification (15A21)

Related Items (9)

Model reduction of nonsquare linear MIMO systems using multipoint matrix continued-fraction expansions ⋮ A note on the mixed Cauer form of system reduction in control system design ⋮ Model reduction of diagonally dominant systems ⋮ Generalized moment method for the order reduction of multivariable systems ⋮ The least-squares Padé method for model simplification of multivariable systems ⋮ Linear system of order reduction using a modified balanced truncation method ⋮ System simplification using variable structure reduced models ⋮ Mixed method of model reduction for linear multivariable systems ⋮ Matrix Routh-approximant reduced-order modelling for multivariable systems

Cites Work

• Unnamed Item
• Matrix continued fraction expansion and inversion by the generalized matrix Routh algorithm
• Truncation of the mixed Cauer form The best approximation in a definite mathematical sense†
• Model reduction of multivariable control systems by means of matrix continued fractions†

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