Décompositions en cascades des systèmes automatiques et feuilletages invariants
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Publication:3714978
DOI10.24033/bsmf.2034zbMath0587.93031OpenAlexW2584849363MaRDI QIDQ3714978
Publication date: 1985
Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=BSMF_1985__113__285_0
Nonlinear systems in control theory (93C10) Canonical structure (93B10) General systems theory (93A99) Foliations in differential topology; geometric theory (57R30) Lie algebras and Lie superalgebras (17B99)
Cites Work
- Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives
- Cascade decomposition of nonlinear systems, foliations and ideals of transitive Lie algebras
- Nonlinear control systems: An introduction
- Suites de Jordan-Hölder et principales d'un groupe de Lie
- On decomposition of nonlinear control systems
- 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
- Linear differential systems with singularities and an application to transitive Lie algebras
- A Jordan-Hölder decomposition for a certain class of infinite dimensional Lie algebras
- A Finiteness Criterion for Nonlinear Input–Output Differential Systems
- The structure of nonlinear control systems possessing symmetries
- Partial symmetries for nonlinear systems
- Nonlinear decoupling via feedback: A differential geometric approach
- A Decomposition Theory for Differentiable Systems
- Nonlinear controllability and observability
- Algebraic Theory of Machines. I. Prime Decomposition Theorem for Finite Semigroups and Machines
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