Realization theory for rational systems: minimal rational realizations

DOI10.1007/s10440-009-9464-yzbMath1217.93040OpenAlexW1511042821MaRDI QIDQ970469

Jana Němcová, Jan H. van Schuppen

Publication date: 19 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-009-9464-y

zbMATH Keywords

minimalityrealization theoryalgebraic controllabilityrational observabilityrational systems

Mathematics Subject Classification ID

Controllability (93B05) System identification (93B30) Nonlinear systems in control theory (93C10) Geometric methods (93B27) Minimal systems representations (93B20) Synthesis problems (93B50) Algebraic methods (93B25) Realizations from input-output data (93B15)

Related Items (5)

Realization theory of recurrent neural ODEs using polynomial system embeddings ⋮ Positive nonlinear realizations of response maps ⋮ A globally consistent nonlinear least squares estimator for identification of nonlinear rational systems ⋮ Monotone nonlinear realisations of response maps ⋮ Linear Positive Systems May Have a Reachable Subset from the Origin That is Either Polyhedral or Nonpolyhedral

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