Extension modules in behavioral linear systems theory

DOI10.1023/A:1011905623429zbMath1031.93061OpenAlexW1940344321MaRDI QIDQ5955549

Eva Zerz

Publication date: 4 March 2004

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

Full work available at URL: https://doi.org/10.1023/a:1011905623429

zbMATH Keywords

controllabilityGröbner basessyzygiesfree resolutionsautonomybehavioral systems theoryconstructive module theoryextension moduleshomological methodslinear multidimensional systemspolynomial modules

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Algebraic methods (93B25)

Related Items (12)

Algebraic Theory of Linear Systems: A Survey ⋮ The PBH test for multidimensional LTID systems ⋮ Recent progress in an algebraic analysis approach to linear systems ⋮ Multidimensional behaviours: an algebraic approach to control theory for PDE ⋮ Controllability and extendibility of continuous multi-dimensional behaviors ⋮ A behavioral interpretation of Livšic systems ⋮ On the Inverse Syzygy Problem ⋮ Time-autonomy and time-controllability of discrete multidimensional behaviours ⋮ nD methods for 1D parameter-dependent systems ⋮ On the extension of solutions of linear constant-coefficient PDE ⋮ How to define the dual of a higher-dimensional linear system ⋮ Key problems in the extension of module-behaviour duality

Uses Software

• SINGULAR

This page was built for publication: Extension modules in behavioral linear systems theory