Faà di Bruno Hopf algebra of the output feedback group for multivariable Fliess operators-Reference-Cited by-同舟云学术

Faà di Bruno Hopf algebra of the output feedback group for multivariable Fliess operators

Published:2014-12 Issue: Volume:74 Page:64-73
ISSN:0167-6911
Container-title:Systems & Control Letters
language:en
Short-container-title:Systems & Control Letters

Author:

Gray W. Steven,Duffaut Espinosa Luis A.,Ebrahimi-Fard Kurusch

Funder

Severo Ochoa Excellence Program at the Instituto de Ciencias Matemáticas in Madrid, Spain

Spanish government

Publisher

Elsevier BV

Subject

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

Reference28 articles.

1. Fonctionnelles causales non linéaires et indéterminées non commutatives;Fliess;Bull.~Soc.~Math.~France,1981

2. Generating series for interconnected analytic nonlinear systems;Gray;SIAM J.~Control Optim.,2005

3. W.S. Gray, Y. Wang, Formal Fliess operators with applications to feedback interconnections, in: Proc. 18th Inter. Symp. Mathematical Theory of Networks and Systems, Blacksburg, Virginia, 2008.

4. A Faà di Bruno Hopf algebra for a group of Fliess operators with applications to feedback;Gray;Systems Control Lett.,2011

5. W.S. Gray, L.A. Duffaut Espinosa, K. Ebrahimi-Fard, Recursive algorithm for the antipode in the SISO feedback product, in: Proc. 21st Inter. Symp. Mathematical Theory of Networks and Systems, Groningen, The Netherlands, 2014, pp. 1088–1093.

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