System order and structure indices of linear systems in polynomial form

DOI10.1080/00207179208934295zbMath0761.93046OpenAlexW2006212889MaRDI QIDQ4013288

Van den Hof, Paul M. J.

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1080/00207179208934295

zbMATH Keywords

discrete time systemstime-invariantMcMillan degreeKronecker observability indices

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Model systems in control theory (93C99)

Related Items (3)

Identifiability and persistent excitation in full matrix fraction parameter estimation ⋮ Minimal representations of MIMO time-varying systems and realization of cyclostationary models. ⋮ Model sets and parametrizations for identification of multivariable equation error models

Cites Work

• From time series to linear system. I: Finite dimensional linear time invariant systems
• Linear multivariable systems
• Canonical structures in the identification of multivariable systems
• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• Multivariate linear time series models
• Discrete models for linear multivariable systems†
• The Properties of the Parameterization of Armax Systems and Their Relevance for Structural Estimation and Dynamic Specification
• ARMA models, their Kronecker indices and their McMillan degree
• ARMA canonical forms obtained from constructibility invariants
• General results on the McMillan degree and the Kronecker indices of ARMA and MFD models
• Rational matrix structure
• Vector linear time series models: corrections and extensions
• Realization of Autoregressive Equations in Pencil and Descriptor Form

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