Realization of multidimensional systems in Fornasini-Marchesini state-space model

DOI10.1007/s11045-010-0136-xzbMath1234.93030OpenAlexW1995921677MaRDI QIDQ655967

Tatsuya Saito, Li Xu, Hua Cheng, Shin-Ya Matsushita

Publication date: 26 January 2012

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11045-010-0136-x

zbMATH Keywords

state-space realization\(n\)-D systems\(n\)-D digital filtersFornasini-Marchesini state-space model

Mathematics Subject Classification ID

Realizations from input-output data (93B15)

Related Items (5)

Elementary operation approach to Fornasini-Marchesini state-space model realization of multidimensional systems ⋮ On the existence of an optimal solution of the Mayer problem governed by 2D continuous counterpart of the Fornasini-Marchesini model ⋮ An approach to multidimensional Fornasini-Marchesini state-space model realization w.r.t. columns of transfer matrices ⋮ A novel constructive procedure to low-order Fornasini-Marchesini model realization ⋮ Common eigenvector approach to exact order reduction for multidimensional Fornasini–Marchesini state-space models

Cites Work

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• A new elementary operation approach to multidimensional realization and LFR uncertainty modeling: the SISO case
• A direct-construction approach to multidimensional realization and LFR uncertainty modeling
• Triangular representation of Fornasini-Marchesini systems
• Two-dimensional linear systems
• Dynamic regulation of 2D systems: A state-space approach
• Feedback stabilizability of MIMO n-D linear systems
• Triangular realization of rational functions of \(N\) complex variables
• A realization theorem for rational functions of several complex variables
• On some connections between BIBO and internal stability of two-dimensional filters
• A discrete state-space model for linear image processing
• State-space realization theory of two-dimensional filters
• Computation of reachable and observable realizations of spatial filters
• Doubly-indexed dynamical systems: State-space models and structural properties
• Realization and stabilization of 2-d systems
• 2-D Lyapunov equation and filter design based on the Fornasini-Marchesini second model
• A New Constructive Procedure for 2-D Coprime Realization in Fornasini–Marchesini Model

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