On finite dimensional realization theory of discrete time nonlinear systems

DOI10.1016/0167-6911(86)90017-4zbMath0588.93016OpenAlexW2026624686MaRDI QIDQ1073741

Bradley W. Dickinson, Carla A. Schwartz

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)90017-4

zbMATH Keywords

nonlinear systemsseparabilityVolterra seriesfinite dimensional realizability

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)

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Method for the global analysis of non-linear parametrized systems

Cites Work

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• Volterra series and geometric control theory
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• The existence and uniqueness of Volterra series for nonlinear systems
• Realization theory of discrete-time nonlinear systems: Part I-The bounded case