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A Faà di Bruno Hopf algebra for a group of Fliess operators with applications to feedback

  • Published:2011-07 Issue:7 Volume:60 Page:441-449
  • ISSN:0167-6911
  • Container-title:Systems & Control Letters
  • language:en
  • Short-container-title:Systems & Control Letters

Author:

Gray W. Steven,Duffaut Espinosa Luis A.

Publisher

Elsevier BV

Subject

Electrical and Electronic Engineering,Mechanical Engineering,General Computer Science,Control and Systems Engineering

Reference30 articles.

1. Zimmerman type cancellation in the free Faà di Bruno algebra;Anshelevich;J. Funct. Anal.,2006

2. Non-commutative Hopf algebra of formal diffeomorphisms;Brouder;Adv. Math.,2006

3. Combinatorial Hopf algebras in quantum field theory I;Figueroa;Rev. Math. Phys.,2005

4. Coalgebras and bialgebras in combinatorics;Joni;Stud. Appl. Math.,1979

5. Foundations of Quantum Group Theory;Majid,1995

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1. On expansions for nonlinear systems Error estimates and convergence issues;Comptes Rendus. Mathématique;2023-01-12

2. Lie groups of controlled characters of combinatorial Hopf algebras;Annales de l’Institut Henri Poincaré D;2020-09-07

3. Faà di Bruno for operads and internal algebras;Journal of the London Mathematical Society;2018-12-12

4. Combinatorial Hopf Algebras for Interconnected Nonlinear Input-Output Systems with a View Towards Discretization;Discrete Mechanics, Geometric Integration and Lie–Butcher Series;2018

5. The Faà di Bruno Hopf Algebra for Multivariable Feedback Recursions in the Center Problem for Higher Order Abel Equations;Computation and Combinatorics in Dynamics, Stochastics and Control;2018
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