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The modelling and analysis of fractional-order control systems in frequency domain

I. Petras, L. Dorcak, P. O'Leary, B. M. Vinagre, I. Podlubny

math.OCarXiv:math/0008186

Abstract

This paper deals with fractional-order controlled systems and fractional-order controllers in the frequency domain. The mathematical description by fractional transfer functions and properties of these systems are presented. The new ways for modelling of fractional-order systems are illustrated with a numerical example and obtained results are discussed in conclusion.

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