Approximation of infinite dimensional systems

G. Gu, P. Khargonekar, E.B. Lee
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Abstract

The approximation of infinite-dimensional system models was studied using a Fourier transform technique. Convergence conditions were established and a frequency-response error bound in terms of the H/sup infinity / norm derived. The approximate model can be directly computed using an FFT-type algorithm. Examples are given to illustrate the technique.<>
无限维系统的近似
利用傅里叶变换技术研究了无限维系统模型的逼近问题。建立了收敛条件,推导了基于H/sup∞/范数的频率响应误差界。近似模型可以使用fft型算法直接计算。举例说明了该技术。
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