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A new symbolic calculus for the response of nonlinear systems

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Publication:1172026
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DOI10.1016/0167-6911(82)90013-5zbMath0499.93029OpenAlexW2033654377MaRDI QIDQ1172026

M. Lamnabhi

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0167-6911(82)90013-5


zbMATH Keywords

symbolic calculusVolterra functional seriesinput/output behaviour of nonlinear circuitsnoncommutative generating series


Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Nonlinear systems in control theory (93C10) Laplace transform (44A10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)


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The formal Laplace--Borel transform of Fliess operators and the composition product ⋮ Global approaches to identifiability testing for linear and nonlinear state space models



Cites Work

  • Scalar Statistics Which Have Constant Regression on the Mean of a Riesz Distribution
  • Fonctionnelles causales non linéaires et indéterminées non commutatives
  • Simultaneous Reduction and Expansion of Multidimensional Laplace Transform Kernels
  • Fractional derivatives, Laplace transforms and association of variables†
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