Computation of minimal-order state-space realizations and observability indices using orthogonal transformations

DOI10.1080/00207178108922921zbMath0465.93031OpenAlexW2001152069MaRDI QIDQ3917965

No author found.

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00207178108922921

zbMATH Keywords

minimal-order state-space realizationsstrictly proper rational function matrix

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Canonical structure (93B10) Observability (93B07) Transformations (93B17) Control/observation systems governed by ordinary differential equations (93C15)

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Cites Work

• Unnamed Item
• Unnamed Item
• The computation of Kronecker's canonical form of a singular pencil
• Towards a formal definition of numerical stability
• Singular value decomposition and least squares solutions
• The determination of state-space representations for linear multivariable systems
• The systematic design of control systems for large multivariable linear time-invariant systems
• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• Minimal realization of a transfer function matrix in canonical forms
• Minimal realizations of transfer-function matrices by means of matrix continued fraction
• Generalized minimal realization of transfer-function matrices
• A Theory of Condition
• On the Structure of Multivariable Systems