Symmetry and the implementation of feedback linearization

DOI10.1016/0167-6911(90)90040-2zbMath0704.93038OpenAlexW2060417872MaRDI QIDQ917505

Robert B. Gardner, William F. Shadwick

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0167-6911(90)90040-2

zbMATH Keywords

Pfaffian systemsLie pseudogroups of symmetrieslinearizing feedback

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Geometric methods (93B27) Canonical structure (93B10) Algebraic methods (93B25)

Related Items (5)

Feedback linearization and driftless systems ⋮ Absolute equivalence and dynamic feedback linearization ⋮ Feedback equivalence for general control systems ⋮ Feedback equivalence of control systems ⋮ Nonlinearizable single-input control systems do not admit stationary symmetries

Cites Work

• Feedback equivalence of control systems
• Linearization and input-output decoupling for general nonlinear systems
• Feedback equivalence for general control systems
• The theory of equivalence of Pfaffian systems and input systems under feedback
• A Geometric Isomorphism with Applications to Closed Loop Controls
• On the Equivalence of Control Systems and the Linearization of Nonlinear Systems
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