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

DOI10.1016/j.sysconle.2011.03.007zbMath1222.93083OpenAlexW2119225990MaRDI QIDQ553362

Luis A. Duffaut Espinosa, W. Steven Gray

Publication date: 27 July 2011

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.03.007

zbMATH Keywords

Hopf algebrasfeedbacknonlinear systemsformal power seriesfunctional series

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10)

Related Items (9)

Robust and nonlinear control literature survey (No. 26) ⋮ Lie groups of controlled characters of combinatorial Hopf algebras ⋮ The Hopf Algebra of Fliess Operators and Its Dual Pre-lie Algebra ⋮ On expansions for nonlinear systems error estimates and convergence issues ⋮ Left inversion of analytic nonlinear SISO systems via formal power series methods ⋮ Faà di Bruno Hopf algebra of the output feedback group for multivariable Fliess operators ⋮ A combinatorial Hopf algebra for nonlinear output feedback control systems ⋮ Faà di Bruno for operads and internal algebras ⋮ A pre-Lie algebra associated to a linear endomorphism and related algebraic structures

Cites Work

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