Representations of nonlinear systems via the Stone-Weierstrass theorem

DOI10.1016/0005-1098(76)90043-1zbMath0345.93032OpenAlexW2276564991MaRDI QIDQ1233415

Philip G. Gallman, Kumpati S. Narendra

Publication date: 1976

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(76)90043-1

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Realizations from input-output data (93B15) Model systems in control theory (93C99)

Related Items

The numerical approximation of nonlinear functionals and functional differential equations, A Weierstrass-like theorem for real separable Hilbert spaces, A methodology for the constructive approximation of nonlinear operators defined on noncompact sets, Causal polynomial approximation for input-output maps on Hilbert spaces

Cites Work

• The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
• An iterative method for the identification of nonlinear systems using a Uryson model
• Note on N‐dimensional hermite polynomials
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