Flat output characterization for linear systems using polynomial matrices.

DOI10.1016/S0167-6911(02)00257-8zbMath1106.93319OpenAlexW1966232946MaRDI QIDQ1853452

Yanyan Li

Publication date: 21 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0167-6911(02)00257-8

zbMATH Keywords

Polynomial matricesFlatnessLinear time-invariant systemTrajectory planningFlat output

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Algebraic methods (93B25)

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Cites Work

• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fast projection methods for minimal design problems in linear system theory
• Linear multivariable systems
• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• On canonical forms for linear constant systems
• A Lie-Backlund approach to equivalence and flatness of nonlinear systems
• Continuous-time linear predictive control and flatness: A module-theoretic setting with examples
• Flatness and defect of non-linear systems: introductory theory and examples

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