Dynamic regulation of 2D systems: A state-space approach

DOI10.1016/0024-3795(89)90653-8zbMath0678.93025OpenAlexW1996182449MaRDI QIDQ1124571

Ettore Fornasini, Mauro Bisiacco, Giovanni Marchesini

Publication date: 1989

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90653-8

zbMATH Keywords

closed-loop polynomial varietiescompensator synthesisoutput feedback compensation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Synthesis problems (93B50) Algebraic methods (93B25)

Related Items (13)

Polynomial inverses of 2D transfer matrices and finite memory realizations via inverse systems ⋮ 2D systems feedback compensation: An approach based on commutative linear transformations ⋮ Stability analysis and stabilisation of continuous-discrete fractional-order 2D Fornasini–Marchesini first model ⋮ Robust ∞ model reduction for the continuous fractional‐order two‐dimensional Roesser system: The 0 < ε ≤ 1 case ⋮ Method for Finding a set of (A,B,C,D) Realizations for Single-Input Multiple-Output / Multiple-Input Single-Output One-dimensional ⋮ Realization of multidimensional systems in Fornasini-Marchesini state-space model ⋮ LMI stability test for multidimensional linear state-space models ⋮ A 2-D systems approach to river pollution modelling ⋮ The asymptotic stability of stable and time-autonomous discrete multidimensional behaviors ⋮ Multidimensional constant linear systems ⋮ Finding a Set of (A, B, C, D) Realisations for Fractional One-Dimensional Systems with Digraph-Based Algorithm ⋮ Output feedback stabilizability and stabilization algorithms for 2D systems ⋮ Common eigenvector approach to exact order reduction for multidimensional Fornasini–Marchesini state-space models

Cites Work

• A note on output feedback stabilizability of multivariable 2D systems
• The Quillen - Suslin theorem and the structure of n-dimensional elementary polynomial matrices
• State and output feedback stabilizability of 2-D systems
• A discrete state-space model for linear image processing
• Doubly-indexed dynamical systems: State-space models and structural properties
• Realization and stabilization of 2-d systems
• Coprime fraction computation of 2-D rational matrices
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