Minimum lag descriptions and minimal Gröbner bases

DOI10.1016/S0167-6911(98)00040-1zbMath0909.93008MaRDI QIDQ1275157

Jeffrey Wood, Eric Rogers, David H. Owens

Publication date: 12 January 1999

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

Gröbner basismultidimensional systemmodule theoryautoregressive discrete systemsbehavioural approachminimum lag description

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Algebraic methods (93B25)

Cites Work

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• Multidimensional constant linear systems
• From time series to linear system. I: Finite dimensional linear time invariant systems
• Gröbner bases for ideals in Laurent polynomial rings and their application to systems of difference equations
• The canonical Cauchy problem for linear systems of partial difference equations with constant coefficients over the complete \(r\)-dimensional integral lattice \(\mathbb{Z}^ r\)
• Gröbner bases with respect to generalized term orders and their application to the modelling problem
• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• Minimal bases of polynomial modules, structural indices and Brunovsky-transformations

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