A new elementary operation approach to multidimensional realization and LFR uncertainty modeling: the SISO case

DOI10.1007/s11045-010-0114-3zbMath1202.93021OpenAlexW2036863765MaRDI QIDQ600877

Shi Yan, Li Xu

Publication date: 3 November 2010

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

Full work available at URL: https://doi.org/10.1007/s11045-010-0114-3

zbMATH Keywords

state-space realizationuncertainty modeling\(n\)-D systemsRoesser modellinear fractional representation

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Realizations from input-output data (93B15) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

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 ⋮ Elementary operation approach to Fornasini-Marchesini state-space model realization of multidimensional systems ⋮ Realization of multidimensional systems in Fornasini-Marchesini state-space model ⋮ 3-D modelling of rectangular circuits as the particular class of spatially interconnected systems on the plane ⋮ Order evaluation to new elementary operation approach for MIMO multidimensional systems ⋮ A novel constructive procedure to low-order Fornasini-Marchesini model realization ⋮ 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

• Maple
• Matlab
• LFR-toolbox

Cites Work

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• A direct-construction approach to multidimensional realization and LFR uncertainty modeling
• A review of 2-D implicit systems
• Linear fractional representations of uncertain systems
• Feedback stabilizability of MIMO n-D linear systems
• State-space realization and inversion of 2-D systems
• The state-space realization of ann-dimensional transfer function
• State space representations of 2-D FIR lossless transfer matrices
• Elementary operation approach to state-space realizations of 2-D systems
• State-space realizations of MIMO 2D discrete linear systems Elementary operation and variable inversion approach
• LFT representations of parametrized polynomial systems
• A New Constructive Procedure for 2-D Coprime Realization in Fornasini–Marchesini Model
• Symbolic manipulation techniques for low order LFT-based parametric uncertainty modelling
• Minimization of Multidimensional Linear Iterative Circuits

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