The determination of state-space representations for linear multivariable systems

DOI10.1016/0005-1098(73)90016-2zbMath0246.93022OpenAlexW2024552521MaRDI QIDQ2555835

William A. Wolovich

Publication date: 1973

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(73)90016-2

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Model systems in control theory (93C99)

Related Items (18)

Minimal order realization with a special coordinate for matrix fraction descriptions ⋮ Decoupling and pole assignment of singular systems: A frequency domain approach ⋮ A COMPARATIVE STUDY ON THE USE OF STATE‐SPACE REPRESENTATIONS FOR MULTIVARIABLE ECONOMIC SYSTEMS AND THE STRUCTURAL PROPERTIES ⋮ Generalized realizations with a special coordinate for matrix fraction descriptions ⋮ Estimation of continuous-time MIMO linear dynamic models from sampled data by hybrid parametrization ⋮ Realization algorithm for determining generalized state-space representations ⋮ IDENTIFICATION THEORY FOR VARYING COEFFICIENT REGRESSION MODELS ⋮ Canonical structures in the identification of multivariable systems ⋮ Open-loop unstable convolution feedback systems with dynamical feedbacks ⋮ CONTROLLABILITY AND OBSERVABILITY IN THE OPTIMAL CONTROL OF LINEAR ECONOMETRIC MODELS ⋮ A method of constructing minimal approximate realizations of linear input-output behavior ⋮ Zero placement and the ‘ squaring down ’ problem: a polynomial matrix approach ⋮ Right divisors of numerator polynomial matrices and (A, B)-invariant subspaces ⋮ A canonical matrix continued fraction solution of the minimal (partial) realization problem ⋮ Computation of minimal-order state-space realizations and observability indices using orthogonal transformations ⋮ An efficient algorithm for the transformation of the input-output model into the state-space model ⋮ Order, degree, and complexity ⋮ Part I-Smith form and common divisor of polynomial matrices

Cites Work

• On non-commutative Noetherian local rings, non-commutative geometry and particle physics.
• Seminar on differential equations and dynamical systems. II. Seminar lectures at the University of Maryland 1969
• On the Structure of Multivariable Systems
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