A note on the invertibility of nonlinear input-output differential systems

DOI10.1016/0167-6911(86)90073-3zbMath0634.93035OpenAlexW2046103922MaRDI QIDQ1097215

Michel Fliess

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0167-6911(86)90073-3

zbMATH Keywords

differential algebraleft and right invertibilitynonlinear input-output differential systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Geometric methods (93B27) Differential topology (57R99) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (19)

Reduced inverse for controlled systems ⋮ An intrinsic sufficient condition for regular decoupling ⋮ A new approach to the structure at infinity of nonlinear systems ⋮ Dynamic decoupling for right-invertible nonlinear systems ⋮ Nonlinear decoupling and structure at infinity ⋮ Geometrical and topological methods in optimal control theory ⋮ Observability of smooth control systems ⋮ Representing a nonlinear state space system as a set of higher-order differential equations in the inputs and outputs ⋮ A new functional expansion for nonlinear systems ⋮ On the inversion of a class of nonlinear systems ⋮ Language of infinite jets in nonlinear control ⋮ Unnamed Item ⋮ Asymptotic output tracking of a class of nonlinear systems by means of an observer ⋮ Classical electrical engineering questions in the light of Fliess's differential algebraic framework of non-linear control systems ⋮ On the singular tracking problem ⋮ Construction of invertible input-output mappings and parameter identification ⋮ On minimal compensators for decoupling control ⋮ On nonlinear systems diagnosis using differential and algebraic methods ⋮ On the dynamical sliding mode control of nonlinear systems

Cites Work

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