Pseudo-canonical forms, identifiable parametrizations and simple parameter estimation for linear multivariable systems: Input-output models

DOI10.1016/0005-1098(84)90101-8zbMath0562.62079OpenAlexW1972075614MaRDI QIDQ1057023

Gilberto O. Corrêa, Keith Glover

Publication date: 1984

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(84)90101-8

zbMATH Keywords

invariantsdiscrete-time systemsanalytic manifoldfinite difference equationsstate-space modelsmatrix fraction descriptionsmultivariable ARMA modelspseudo-canonical forms

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) System identification (93B30) Estimation and detection in stochastic control theory (93E10) Identification in stochastic control theory (93E12)

Related Items (9)

Parameter and structure identification of linear multivariable systems ⋮ Stochastic gradient algorithm for multi-input multi-output Hammerstein FIR-MA-like systems using the data filtering ⋮ Comments on ‘MFD models and time delays; some consequences for identification’ ⋮ Two-stage IV-based estimation and parametrization selection for linear multivariable identification ⋮ The common structure of parametrizations for linear systems ⋮ Frequency-domain identification of aircraft structural modes from short-duration flight tests ⋮ Pseudo-canonical forms, identifiable parametrizations and simple parameter estimation for linear multivariable systems: Parameter estimation ⋮ New developments for matrix fraction descriptions: a fully-parametrised approach ⋮ Model sets and parametrizations for identification of multivariable equation error models

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• On line structure selection for multivariable state-space models
• Canonical structures in the identification of multivariable systems
• Canonical forms for the identification of multivariable linear systems
• Parametrizations of linear dynamical systems: Canonical forms and identifiability
• Structure determination and parameter identification for multivariable stochastic linear systems
• A new input-output canonical form for multivariable systems

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