A Faà di Bruno Hopf algebra for a group of fliess operators with applications to feedback
type: Item
instance of: scholarly article
title: A Faà di Bruno Hopf algebra for a group of fliess operators with applications to feedback
zbMATH Open document ID: 1222.93083
author: W. Steven Gray
author: Luis A. Duffaut Espinosa
published in: Systems \& Control Letters
publication date: 2011-07-27T00:00:00Z
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 5932536
zbMATH Keywords: formal power series
zbMATH Keywords: functional series
zbMATH Keywords: Hopf algebras
zbMATH Keywords: feedback
zbMATH Keywords: nonlinear systems
MaRDI profile type: Publication
full work available at URL: j.sysconle.2011.03.007
OpenAlex ID: W2119225990
cites work: Zimmermann type cancellation in the free Faà di Bruno algebra
cites work: Non-commutative Hopf algebra of formal diffeomorphisms.
cites work: COMBINATORIAL HOPF ALGEBRAS IN QUANTUM FIELD THEORY I
cites work: Coalgebras and Bialgebras in Combinatorics
cites work: Q4857364
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: An algebraic approach to nonlinear functional expansions
cites work: Iterated derivatives of the output of a nonlinear dynamic system and Faà di Bruno formula.
cites work: Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations.
cites work: Q3908854
cites work: Generating Series for Interconnected Analytic Nonlinear Systems
cites work: The formal Laplace--Borel transform of Fliess operators and the composition product
cites work: The realization of input-output maps using bialgebras
cites work: Q4466640
cites work: Algebraic aspects of control systems and realizations
cites work: Q3134850
cites work: Fliess operators on \(L_{p}\) spaces: convergence and continuity
cites work: Q3933122
cites work: Q4520725
cites work: Q5590089
cites work: Q4135772
cites work: Nonlinear control systems: An introduction
DOI: 10.1016/J.SYSCONLE.2011.03.007
description: scientific article; zbMATH DE number 5932536