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Zbl 0682.93035
Gu, Guoxiang; Khargonekar, Pramod P.; Lee, E.Bruce
Approximation of infinite-dimensional systems. (English)
[J] IEEE Trans. Autom. Control 34, No.6, 610-618 (1989). ISSN 0018-9286

Summary: The approximation of infinite-dimensional system models is studied using a Fourier transform technique. Convergence conditions are established and a frequency response error bound in terms of the $H\sb{\infty}$ norm is derived. The approximate model can be directly computed using an FFT type algorithm. Examples illustrate the method.

MSC 2000:: *93C25 Control systems in abstract spaces
46J15 Banach algebras of differentiable functions
42A38 Fourier type transforms, one variable

Keywords: FFT type algorithm

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