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Approximation of Input-Output Maps using Gaussian Radial Basis Functions

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Stability and Control of Dynamical Systems with Applications

Part of the book series: Control Engineering ((CONTRENGIN))

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Abstract

Radial basis functions are of interest in connection with a variety of approximation problems in the neural networks area, and in other areas as well. Here we show that the members of some interesting families of shift-varying input-output maps, which take a function space into a function space, can be uniformly approximated over an infinite time or space domain in a certain special way using Gaussian radial basis functions.

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© 2003 Springer Science+Business Media New York

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Sandberg, I.W. (2003). Approximation of Input-Output Maps using Gaussian Radial Basis Functions. In: Liu, D., Antsaklis, P.J. (eds) Stability and Control of Dynamical Systems with Applications. Control Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0037-6_8

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  • DOI: https://doi.org/10.1007/978-1-4612-0037-6_8

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6583-2

  • Online ISBN: 978-1-4612-0037-6

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