Using permutation symmetric Jordan realizations to achieve SISO balancing

DOI10.1080/00207728708963979zbMath0611.93006OpenAlexW2059245755MaRDI QIDQ3752218

Jose Alexis De Abreu-Garcia, Frederick W. Fairman

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207728708963979

zbMATH Keywords

algorithmbalanced realizationscontinuous-timepermutation symmetric Jordan realization

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Minimal systems representations (93B20) Realizations from input-output data (93B15)

Related Items (4)

Analysis of a specially structured descriptor-like model ⋮ Model reduction of SISO systems by Routh expansion and balancing method ⋮ Model reduction of unstable systems ⋮ Analysis and synthesis of modally balanced systems

Cites Work

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• Symmetry properties of balanced systems
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Minimal balanced realization of transfer function matrices using Markov parameters
• Balanced realizations via model operators
• A note on cross Grammians for orthogonally symmetric realizations
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Synthesis of minimum roundoff noise fixed point digital filters

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