Representations of control systems in the Fliess algebra and in the algebra of nonlinear power moments.
type: Item
instance of: scholarly article
title: Representations of control systems in the Fliess algebra and in the algebra of nonlinear power moments.
zbMATH Open document ID: 1106.93309
DOI: 10.1016/S0167-6911(02)00201-3
published in: Systems \& Control Letters
publication date: 2003-01-21T00:00:00Z
Mathematics Subject Classification ID: 93B25
Mathematics Subject Classification ID: 93C95
zbMATH DE Number: 1856763
zbMATH Keywords: Fliess algebra
zbMATH Keywords: Algebra of nonlinear power moments
zbMATH Keywords: Steering problem to the stationary point
zbMATH Keywords: Realizability problem
author: G. M. Sklyar
author: S. Yu. Ignatovich
MaRDI profile type: Publication
cites work: Realizations of nonlinear systems and abstract transitive Lie algebras
cites work: Fonctionnelles causales non linéaires et indéterminées non commutatives
cites work: Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives
cites work: Local Realizations of Nonlinear Causal Operators
cites work: Q3748889
cites work: Convergence of power series along vector fields and their commutators; a Cartan-Kähler type theorem
cites work: Lie elements and an algebra associated with shuffles
cites work: Moment Approach to Nonlinear Time Optimality
cites work: On a classification of controllability sets of nonlinear systems
cites work: Existence and uniqueness of minimal realizations of nonlinear systems
cites work: Generating series and nonlinear systems: Analytic aspects, local realizability, and i/o representations
description: scientific article; zbMATH DE number 1856763