Uniform approximation of discrete-space multidimensional myopic maps

DOI10.1007/BF01246720zbMath0890.93062MaRDI QIDQ1363398

Lilian Xu, Sandberg, Irwin W.

Publication date: 18 September 1997

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

zbMATH Keywords

approximationmemorylessdiscrete-time nonlinear mappings

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Multivariable systems, multidimensional control systems (93C35) Discrete-time control/observation systems (93C55)

Related Items (5)

Uniform approximation of discrete-space multidimensional myopic maps ⋮ Notes on uniform approximation of shift-varying systems ⋮ Convergence rate of DeepONets for learning operators arising from advection-diffusion equations ⋮ Separation conditions and approximation of discrete-time and discrete-space systems ⋮ Time-delay neural networks, Volterra series, and rates of approximation

Cites Work

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• Structure theorems for nonlinear systems
• Approximation by superposition of sigmoidal and radial basis functions
• Network approximation of input-output maps and functionals
• Uniform approximation of discrete-space multidimensional myopic maps
• A perspective on system theory
• Fading memory and the problem of approximating nonlinear operators with Volterra series
• Approximately-finite memory and input-output maps
• Uniform approximation and the circle criterion
• Approximation by superpositions of a sigmoidal function

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