SISO Output Affine Feedback Transformation Group and Its Faà di Bruno Hopf Algebra

DOI10.1137/140997348zbMath1361.93016arXiv1411.0222OpenAlexW2952841417MaRDI QIDQ5347545

W. Steven Gray, Kurusch Ebrahimi-Fard

Publication date: 24 May 2017

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0222

zbMATH Keywords

Hopf algebrasnonlinear control systemstransformation groupsChen-Fliess series

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Linearizations (93B18) Algebraic methods (93B25) Connections of Hopf algebras with combinatorics (16T30)

Related Items (5)

Lie groups of controlled characters of combinatorial Hopf algebras ⋮ Generating series for networks of Chen-Fliess series ⋮ Continuity of formal power series products in nonlinear control theory ⋮ Relative degree of interconnected SISO nonlinear control systems ⋮ Entropy of generating series for nonlinear input-output systems and their interconnections

Uses Software

• OEIS

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