Cascade decomposition of nonlinear systems, foliations and ideals of transitive Lie algebras

DOI10.1016/0167-6911(85)90019-2zbMath0562.93040OpenAlexW1971994670MaRDI QIDQ1057221

Michel Fliess

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0167-6911(85)90019-2

zbMATH Keywords

Lie algebranonlinear control systemcascade decompositionparallel decomposition

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) General systems theory (93A99) Lie algebras and Lie superalgebras (17B99) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (2)

Décompositions en cascades des systèmes automatiques et feuilletages invariants ⋮ Orbital decompositions and integrable pseudosymmetries of control systems

Cites Work

• Unnamed Item
• Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives
• On decomposition of nonlinear control systems
• Correspondance entre algèbres de Lie abstraites et pseudo-groupes de Lie transitifs
• Théorie des G-structures: Le problème d'équivalence. Notes redigees avec la collaboration de F. Toupine
• The infinite groups of Lie and Cartan. I: The transitive groups
• A Jordan-Hölder decomposition for a certain class of infinite dimensional Lie algebras
• The structure of nonlinear control systems possessing symmetries
• Partial symmetries for nonlinear systems
• The integrability problem for Lie equations
• Nonlinear decoupling via feedback: A differential geometric approach
• Decomposability of Subalgebras of Vector Fields
• A Decomposition Theory for Differentiable Systems

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