Finite Volterra-series realizations and input-output approximations of non-linear discrete-time systems

DOI10.1080/00207178708933845zbMath0625.93013OpenAlexW1985171139MaRDI QIDQ3028788

Salvatore Monaco, Dorothee Normand-Cyrot

Publication date: 1987

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178708933845

zbMATH Keywords

input-output mapseparable kernelsVolterra series expansiondiscrete-time, invertible nonlinear systempolynomial affine realization

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Realizations from input-output data (93B15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (3)

Geometrical and topological methods in optimal control theory ⋮ Synchronization of discrete-time hyperchaotic systems: an application in communications ⋮ Transfer equivalence and realization of nonlinear higher order input-output difference equations

Cites Work

• Volterra series and geometric control theory
• The immersion under feedback of a multidimensional discrete-time non-linear system into a linear system
• Realization and Structure Theory of Bilinear Dynamical Systems

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