Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives
type: Item
instance of: scholarly article
title: Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives
zbMATH Open document ID: 0513.93014
DOI: 10.1007/BF02095991
author: Michel Fliess
published in: Inventiones Mathematicae
publication date: 1983-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143002
Mathematics Subject Classification ID: 93B15
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 16W60
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93B20
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93B25
zbMATH DE Number: 3811395
zbMATH Keywords: realization of nonlinear systems
zbMATH Keywords: local controllability
zbMATH Keywords: local observability
MaRDI profile type: Publication
cites work: Iterated path integrals
cites work: Dynamical Realizations of Finite Volterra Series
cites work: Q4079524
cites work: Q5181128
cites work: Matrices de Hankel
cites work: Realizations of nonlinear systems and abstract transitive Lie algebras
cites work: Fonctionnelles causales non linéaires et indéterminées non commutatives
cites work: A Finiteness Criterion for Nonlinear Input–Output Differential Systems
cites work: Uniqueness of weakly minimal analytic realizations
cites work: Q5539876
cites work: An algebraic model of transitive differential geometry
cites work: Nonlinear controllability and observability
cites work: Existence and Uniqueness of Realizations of Nonlinear Systems
cites work: Mathematical Description of Linear Dynamical Systems
cites work: Q5638871
cites work: Q3853827
cites work: Linear differential systems with singularities and an application to transitive Lie algebras
cites work: Prolongements d'homomorphismes d'algèbres de Lie filtrees transitives
cites work: Series formelles et algèbres syntactiques
cites work: Deformation of transitive Lie algebras
cites work: Correspondance entre algèbres de Lie abstraites et pseudo-groupes de Lie transitifs
cites work: The infinite groups of Lie and Cartan. I: The transitive groups
cites work: Polynomial response maps
cites work: A generalization of the closed subgroup theorem to quotients of arbitrary manifolds
cites work: Minimal realizations and canonical forms for bilinear systems
cites work: Existence and uniqueness of minimal realizations of nonlinear systems
cites work: Lie Brackets and Local Controllability: A Sufficient Condition for Scalar-Input Systems
cites work: Controllability of nonlinear systems
OpenAlex ID: W2320306398
description: scientific article; zbMATH DE number 3811395