How to define the dual of a higher-dimensional linear system

DOI10.1016/J.LAA.2009.07.012zbMath1171.93008OpenAlexW1984468533MaRDI QIDQ734921

Vakhtang Lomadze

Publication date: 14 October 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.07.012

zbMATH Keywords

observabilitycontrollabilitydualityhomotopyautonomyARMA-model

Mathematics Subject Classification ID

Controllability (93B05) Linear systems in control theory (93C05) Observability (93B07) Duality theory (optimization) (49N15)

Related Items (2)

On the dual of a flat module in TOP ⋮ Linear systems, and ARMA- and Fliess models

Cites Work

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• Multidimensional constant linear systems
• Geometric completeness of distribution spaces
• Finite-dimensional time-invariant linear dynamical systems: Algebraic theory
• ARMA-models and their equivalences
• Paradigms and puzzles in the theory of dynamical systems
• On strict system equivalence and similarity†
• Algebraic analysis of linear multidimensional control systems
• Extension modules in behavioral linear systems theory

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