Coefficient-dependent direct-construction approach to realization of multidimensional systems in Roesser model

DOI10.1007/s11045-010-0140-1zbMath1209.93031OpenAlexW2159699660MaRDI QIDQ632181

Yegui Xiao, Li Xu, Zhiping Lin, Huijin Fan

Publication date: 15 March 2011

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

Full work available at URL: https://doi.org/10.1007/s11045-010-0140-1

zbMATH Keywords

multidimensional systemsstate-space realizationrealizationuncertainty modelingRoesser model

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Realizations from input-output data (93B15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (9)

Notes on minimal realizations of multidimensional systems ⋮ A novel elementary operation approach with Jordan transformation to order reduction for Roesser state-space model ⋮ Analysis and design of unknown input observers for a class of 2-D nonlinear systems ⋮ An approach to multidimensional Fornasini-Marchesini state-space model realization w.r.t. columns of transfer matrices ⋮ Order evaluation to new elementary operation approach for MIMO multidimensional systems ⋮ Minimal realisations of odd transfer functions for first-degree nD systems ⋮ The absolutely minimal realizations for first-degree \(n\)D SISO systems ⋮ State-space formulation of 2-D frequency transformation in Fornasini-Marchesini second model ⋮ Eigenvalue trim approach to exact order reduction for Roesser state-space model of multidimensional systems

Uses Software

• LFR-toolbox

Cites Work

• Unnamed Item
• A direct-construction approach to multidimensional realization and LFR uncertainty modeling
• Linear fractional representations of uncertain systems
• Feedback stabilizability of MIMO n-D linear systems
• Topics in multidimensional linear systems theory
• A symbolic matrix decomposition algorithm for reduced order linear fractional transformation modelling
• Basic properties of q-dimensional linear digital systems
• Realization and stabilization of 2-d systems
• A multidimensional realization algorithm for parametric uncertainty modelling and multiparameter margin problems
• LFT representations of parametrized polynomial systems
• Symbolic manipulation techniques for low order LFT-based parametric uncertainty modelling
• Minimization of Multidimensional Linear Iterative Circuits

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